
Time bar (total: 13.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 18.7% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 28.1% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 32.8% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 49.2% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 57.4% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 61.5% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 71.8% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 35 to 25 computations (28.6% saved)
| 1.5s | 8 256× | 0 | valid |
| 1.0ms | 4× | 0 | invalid |
const: 377.0ms (30.7% of total)ival-sub: 316.0ms (25.7% of total)ival-div: 113.0ms (9.2% of total)ival-<=: 109.0ms (8.9% of total)ival-mult: 94.0ms (7.6% of total)ival-cos: 94.0ms (7.6% of total)ival-sqrt: 57.0ms (4.6% of total)ival->: 31.0ms (2.5% of total)ival-and: 30.0ms (2.4% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 138× | sub-neg |
| 100× | associate-*l* |
| 80× | distribute-lft-in |
| 78× | *-commutative |
| 74× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 117 |
| 1 | 78 | 115 |
| 2 | 128 | 115 |
| 3 | 215 | 113 |
| 4 | 361 | 113 |
| 5 | 611 | 113 |
| 6 | 775 | 113 |
| 7 | 871 | 113 |
| 8 | 910 | 113 |
| 9 | 930 | 113 |
| 10 | 934 | 113 |
| 0 | 10 | 11 |
| 1 | 16 | 11 |
| 2 | 20 | 11 |
| 3 | 25 | 11 |
| 4 | 32 | 11 |
| 5 | 42 | 11 |
| 6 | 57 | 11 |
| 7 | 80 | 11 |
| 8 | 102 | 11 |
| 9 | 110 | 11 |
| 10 | 112 | 11 |
| 0 | 112 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| Outputs |
|---|
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Inputs |
|---|
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2)))) |
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))) |
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2)))) |
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2))))) |
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 cosTheta_i))) |
(* (sqrt (/ u2 (- 1 u2))) (cos (* 314159265359/50000000000 u1))) |
| Outputs |
|---|
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- -1 u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))) |
(* (cos (* 314159265359/50000000000 u2)) (neg (sqrt (/ u1 (- 1 u1))))) |
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2)))) |
(* (cos (* 314159265359/50000000000 u2)) (neg (sqrt (/ u1 (- -1 u1))))) |
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2))))) |
(* (cos (* 314159265359/50000000000 u2)) (neg (sqrt (/ u1 (- 1 u1))))) |
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (cos (* 314159265359/50000000000 u2))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ cosTheta_i (- 1 cosTheta_i)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 cosTheta_i))) |
(* (sqrt (/ u2 (- 1 u2))) (cos (* 314159265359/50000000000 u1))) |
(* (sqrt (/ u2 (- 1 u2))) (cos (* u1 314159265359/50000000000))) |
(abs cosTheta_i)
(abs u2)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u1) |
| 0 | 0 | - | 0 | - | u2 |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 314159265359/50000000000 binary32) |
| 0 | 0 | - | 0 | - | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 0 | 0 | - | 0 | - | u1 |
| 0 | 0 | - | 0 | - | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 0 | 0 | - | 0 | - | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 0 | 0 | - | 0 | - | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 73.0ms | 512× | 0 | valid |
Compiled 104 to 48 computations (53.8% saved)
ival-cos: 32.0ms (55.7% of total)const: 7.0ms (12.2% of total)ival-mult: 6.0ms (10.4% of total)ival-div: 5.0ms (8.7% of total)ival-sub: 3.0ms (5.2% of total)ival-sqrt: 3.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u1) |
| ✓ | cost-diff | 0 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 36× | +-lowering-+.f64 |
| 36× | +-lowering-+.f32 |
| 26× | --lowering--.f32 |
| 26× | sub-neg |
| 26× | --lowering--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 16 | 36 |
| 2 | 20 | 36 |
| 3 | 25 | 36 |
| 4 | 32 | 36 |
| 5 | 42 | 36 |
| 6 | 57 | 36 |
| 7 | 80 | 36 |
| 8 | 102 | 36 |
| 9 | 110 | 36 |
| 10 | 112 | 36 |
| 0 | 112 | 36 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt (/ u1 (- 1 u1))) |
(/ u1 (- 1 u1)) |
u1 |
(- 1 u1) |
1 |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
| Outputs |
|---|
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/ u1 (- 1 u1)) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(- 1 u1) |
(-.f32 #s(literal 1 binary32) u1) |
1 |
#s(literal 1 binary32) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
314159265359/50000000000 |
#s(literal 314159265359/50000000000 binary32) |
u2 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.4% | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 28.0ms | 256× | 0 | valid |
Compiled 38 to 13 computations (65.8% saved)
ival-div: 3.0ms (18.7% of total)ival-mult: 3.0ms (18.7% of total)ival-cos: 3.0ms (18.7% of total)const: 3.0ms (18.7% of total)ival-sqrt: 2.0ms (12.5% of total)ival-sub: 1.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ()) |
#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ()) |
#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ()) |
#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ()) |
#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor inf u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (taylor inf u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ u1 (- 1 u1))) (taylor 0 u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) (taylor 0 u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) (taylor 0 u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) (taylor 0 u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) (taylor 0 u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor inf u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) (taylor inf u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) (taylor inf u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) (taylor inf u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor -inf u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) (taylor -inf u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) (taylor -inf u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) (taylor -inf u1) (#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt u1 (taylor 0 u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt -1 (taylor inf u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor inf u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt -1 (taylor -inf u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor -inf u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor -inf u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) (taylor -inf u1) (#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt 1 (taylor 0 u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (* -1 u1) (taylor inf u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (* -1 u1) (taylor -inf u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ()) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | u1 | @ | inf | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u2 | @ | inf | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u1 | @ | 0 | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u2 | @ | -inf | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u2 | @ | 0 | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1× | batch-egg-rewrite |
| 3 704× | /-lowering-/.f32 |
| 3 704× | /-lowering-/.f64 |
| 3 286× | *-lowering-*.f32 |
| 3 286× | *-lowering-*.f64 |
| 2 456× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 40 | 28 |
| 2 | 231 | 28 |
| 3 | 1947 | 28 |
| 0 | 9665 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt (/ u1 (- 1 u1))) |
(/ u1 (- 1 u1)) |
(- 1 u1) |
(* 314159265359/50000000000 u2) |
| Outputs |
|---|
(pow.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) |
(*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
(neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))) |
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) |
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) |
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) |
(exp.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))) |
(exp.f32 (fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32) (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) |
(exp.f32 (fma.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32) (*.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)))) |
(exp.f32 (-.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)) (*.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)) |
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) |
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(/.f32 (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) |
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 (*.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))))) |
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))) |
(*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) |
(*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32))) |
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) |
(*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) |
(*.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
| 1× | egg-herbie |
| 21 824× | accelerator-lowering-fma.f32 |
| 21 824× | accelerator-lowering-fma.f64 |
| 6 728× | *-lowering-*.f32 |
| 6 728× | *-lowering-*.f64 |
| 4 106× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 906 |
| 1 | 523 | 815 |
| 2 | 1543 | 747 |
| 3 | 4760 | 699 |
| 0 | 8231 | 673 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
1 |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(* -1 u1) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* -1 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
| Outputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (+.f32 #s(literal -3/8 binary32) (/.f32 #s(literal -5/16 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1)))) (neg.f32 u1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) u1)) u1)) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(fma.f32 (*.f32 u1 u1) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1)) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1))) u1)) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) u1)) u1)) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 u1) |
(neg.f32 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 16 102 to 2 490 computations (84.5% saved)
29 alts after pruning (28 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 28 | 592 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 564 | 29 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| 92.5% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| 98.8% | (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| ▶ | 70.8% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
| 88.2% | (*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 88.0% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| 85.9% | (*.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 84.1% | (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) | |
| 89.0% | (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 89.0% | (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 83.6% | (*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 84.1% | (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 90.3% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 85.6% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.8% | (*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.6% | (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 83.8% | (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 84.3% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u1 u1))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 98.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.9% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 90.8% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| ✓ | 99.1% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.9% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 92.8% | (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 99.0% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 82.2% | (*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 69.6% | (*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 72.9% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 96.6% | (*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 80.6% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
Compiled 1 284 to 819 computations (36.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) |
| ✓ | cost-diff | 160 | (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) |
| ✓ | cost-diff | 256 | (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))))) |
| ✓ | cost-diff | 1248 | (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))) |
| ✓ | cost-diff | 0 | (+.f32 u1 #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
| ✓ | cost-diff | 0 | (fma.f32 u1 u1 u1) |
| ✓ | cost-diff | 0 | (fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
| ✓ | cost-diff | 0 | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u1) |
| ✓ | cost-diff | 0 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 224 | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) |
| 16 522× | accelerator-lowering-fma.f32 |
| 16 522× | accelerator-lowering-fma.f64 |
| 4 140× | *-lowering-*.f32 |
| 4 140× | *-lowering-*.f64 |
| 1 904× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 335 |
| 1 | 87 | 325 |
| 2 | 234 | 275 |
| 3 | 848 | 256 |
| 4 | 3609 | 254 |
| 0 | 8067 | 247 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* (/ 1 (+ u1 -1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt (* (/ 1 (+ u1 -1)) (neg u1))) |
(* (/ 1 (+ u1 -1)) (neg u1)) |
(/ 1 (+ u1 -1)) |
1 |
(+ u1 -1) |
u1 |
-1 |
(neg u1) |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
(sqrt (/ u1 (- 1 u1))) |
(/ u1 (- 1 u1)) |
u1 |
(- 1 u1) |
1 |
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (cos (* 314159265359/50000000000 u2))) |
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) |
(+ (* u1 (+ (* u1 u1) u1)) u1) |
u1 |
(+ (* u1 u1) u1) |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
(/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) |
1 |
(/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) |
(sqrt (+ u1 1)) |
(+ u1 1) |
u1 |
(* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
(sqrt u1) |
(* (sqrt (/ u1 (/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1)))))) (cos (* 314159265359/50000000000 u2))) |
(sqrt (/ u1 (/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1)))))) |
(/ u1 (/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1))))) |
u1 |
(/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1)))) |
(- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) |
(* 1 (/ (+ u1 1) (* u1 u1))) |
1 |
(/ (+ u1 1) (* u1 u1)) |
(+ u1 1) |
(* u1 u1) |
(* (+ u1 1) (/ (+ u1 1) (* u1 u1))) |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
| Outputs |
|---|
(* (sqrt (* (/ 1 (+ u1 -1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt (* (/ 1 (+ u1 -1)) (neg u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(* (/ 1 (+ u1 -1)) (neg u1)) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(/ 1 (+ u1 -1)) |
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ u1 -1) |
(+.f32 u1 #s(literal -1 binary32)) |
u1 |
-1 |
#s(literal -1 binary32) |
(neg u1) |
(neg.f32 u1) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
314159265359/50000000000 |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/ u1 (- 1 u1)) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(- 1 u1) |
(-.f32 #s(literal 1 binary32) u1) |
1 |
#s(literal 1 binary32) |
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(+ (* u1 (+ (* u1 u1) u1)) u1) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
u1 |
(+ (* u1 u1) u1) |
(fma.f32 u1 u1 u1) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
314159265359/50000000000 |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
1 |
#s(literal 1 binary32) |
(/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) |
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) |
(sqrt (+ u1 1)) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) |
(+ u1 1) |
(+.f32 #s(literal 1 binary32) u1) |
u1 |
(* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
314159265359/50000000000 |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(sqrt u1) |
(sqrt.f32 u1) |
(* (sqrt (/ u1 (/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1)))))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) |
(sqrt (/ u1 (/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1)))))) |
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) |
(/ u1 (/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1))))) |
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) |
u1 |
(/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1)))) |
(/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) |
(- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) |
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)) |
(* 1 (/ (+ u1 1) (* u1 u1))) |
(/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) |
1 |
#s(literal 1 binary32) |
(/ (+ u1 1) (* u1 u1)) |
(/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) |
(+ u1 1) |
(+.f32 #s(literal 1 binary32) u1) |
(* u1 u1) |
(*.f32 u1 u1) |
(* (+ u1 1) (/ (+ u1 1) (* u1 u1))) |
(/.f32 (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
314159265359/50000000000 |
#s(literal 314159265359/50000000000 binary32) |
u2 |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 98.9% | (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) |
| ✓ | accuracy | 98.9% | (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) |
| ✓ | accuracy | 98.8% | (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))) |
| ✓ | accuracy | 99.5% | (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
| ✓ | accuracy | 99.2% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 98.8% | (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) |
| ✓ | accuracy | 99.7% | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| ✓ | accuracy | 99.7% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 100.0% | (-.f32 #s(literal 1 binary32) u1) |
| ✓ | accuracy | 99.6% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.5% | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.6% | (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.1% | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 120.0ms | 247× | 0 | valid |
| 10.0ms | 9× | 5 | exit |
Compiled 336 to 39 computations (88.4% saved)
ival-div: 27.0ms (38.3% of total)ival-mult: 15.0ms (21.3% of total)ival-sqrt: 10.0ms (14.2% of total)ival-add: 6.0ms (8.5% of total)const: 4.0ms (5.7% of total)ival-sub: 3.0ms (4.3% of total)ival-cos: 3.0ms (4.3% of total)adjust: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (* (/ 1 (+ u1 -1)) (neg u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ()) |
#s(alt (* (sqrt (* (/ 1 (+ u1 -1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ()) |
#s(alt (sqrt (* (/ 1 (+ u1 -1)) (neg u1))) (patch (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) #<representation binary32>) () ()) |
#s(alt (/ 1 (+ u1 -1)) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ()) |
#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ()) |
#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ()) |
#s(alt (- 1 u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ()) |
#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ()) |
#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ()) |
#s(alt (+ (* u1 (+ (* u1 u1) u1)) u1) (patch (fma.f32 u1 (fma.f32 u1 u1 u1) u1) #<representation binary32>) () ()) |
#s(alt (+ (* u1 u1) u1) (patch (fma.f32 u1 u1 u1) #<representation binary32>) () ()) |
#s(alt (/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) #<representation binary32>) () ()) |
#s(alt (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (patch (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #<representation binary32>) () ()) |
#s(alt (sqrt (+ u1 1)) (patch (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (+ u1 1) (patch (+.f32 u1 #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1)))) (patch (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))) #<representation binary32>) () ()) |
#s(alt (/ u1 (/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1))))) (patch (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))))) #<representation binary32>) () ()) |
#s(alt (* 1 (/ (+ u1 1) (* u1 u1))) (patch (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) #<representation binary32>) () ()) |
#s(alt (* (+ u1 1) (/ (+ u1 1) (* u1 u1))) (patch (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) #<representation binary32>) () ()) |
#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ()) |
#s(alt (cos (* 314159265359/50000000000 u2)) (patch (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ()) |
#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt u1 (taylor 0 u1) (#s(alt (* (/ 1 (+ u1 -1)) (neg u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (* (/ 1 (+ u1 -1)) (neg u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (* (/ 1 (+ u1 -1)) (neg u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (* (/ 1 (+ u1 -1)) (neg u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt -1 (taylor inf u1) (#s(alt (* (/ 1 (+ u1 -1)) (neg u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (* (/ 1 (+ u1 -1)) (neg u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor inf u1) (#s(alt (* (/ 1 (+ u1 -1)) (neg u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ()) |
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#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor inf u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor inf u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor inf u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor inf u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (taylor -inf u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (taylor -inf u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (taylor -inf u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (taylor -inf u1) (#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (pow u1 2)) (taylor 0 u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 u1) (pow u1 2)) (taylor 0 u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 u1) (pow u1 2)) (taylor 0 u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 u1) (pow u1 2)) (taylor 0 u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 u1) (taylor inf u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 u1)) u1) (taylor inf u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 u1)) u1) (taylor inf u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 u1)) u1) (taylor inf u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 u1) (taylor -inf u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 u1)) u1) (taylor -inf u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 u1)) u1) (taylor -inf u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 u1)) u1) (taylor -inf u1) (#s(alt (/ (+ u1 1) (* u1 u1)) (patch (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) #<representation binary32>) () ())) ()) |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | u1 | @ | 0 | (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) |
| 3.0ms | u2 | @ | 0 | (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) |
| 3.0ms | u1 | @ | -inf | (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) |
| 2.0ms | u2 | @ | inf | (* (sqrt (* (/ 1 (+ u1 -1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u2 | @ | 0 | (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) |
| 1× | batch-egg-rewrite |
| 4 670× | /-lowering-/.f32 |
| 4 670× | /-lowering-/.f64 |
| 4 508× | *-lowering-*.f32 |
| 4 508× | *-lowering-*.f64 |
| 2 440× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 178 |
| 1 | 202 | 156 |
| 2 | 1742 | 152 |
| 0 | 8142 | 145 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (+ u1 -1)) (neg u1)) |
(* (sqrt (* (/ 1 (+ u1 -1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt (* (/ 1 (+ u1 -1)) (neg u1))) |
(/ 1 (+ u1 -1)) |
(sqrt (/ u1 (- 1 u1))) |
(/ u1 (- 1 u1)) |
(- 1 u1) |
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (cos (* 314159265359/50000000000 u2))) |
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) |
(+ (* u1 (+ (* u1 u1) u1)) u1) |
(+ (* u1 u1) u1) |
(/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) |
(/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) |
(sqrt (+ u1 1)) |
(+ u1 1) |
(/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1)))) |
(/ u1 (/ (- (* 1 (/ (+ u1 1) (* u1 u1))) (+ u1 1)) (* (+ u1 1) (/ (+ u1 1) (* u1 u1))))) |
(* 1 (/ (+ u1 1) (* u1 u1))) |
(* (+ u1 1) (/ (+ u1 1) (* u1 u1))) |
(* 314159265359/50000000000 u2) |
(cos (* 314159265359/50000000000 u2)) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) |
(/ (+ u1 1) (* u1 u1)) |
| Outputs |
|---|
(neg.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 u1) (+.f32 u1 #s(literal -1 binary32))) |
(/.f32 (/.f32 u1 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))) |
(/.f32 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))) |
(/.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 (*.f32 (/.f32 u1 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) |
(/.f32 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) |
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (+.f32 u1 #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1))) (+.f32 u1 #s(literal -1 binary32))) |
(/.f32 (neg.f32 (/.f32 u1 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (neg.f32 (*.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (neg.f32 (*.f32 u1 u1))) |
(/.f32 (neg.f32 (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) |
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 #s(literal -1 binary32) (/.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) |
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) |
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (/.f32 u1 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) |
(*.f32 (/.f32 u1 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) u1) #s(literal -1 binary32))) |
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) u1) |
(*.f32 (*.f32 (/.f32 u1 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) |
(*.f32 (*.f32 (/.f32 u1 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)) u1) |
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) |
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) |
(*.f32 (/.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (neg.f32 (*.f32 u1 u1)))) |
(*.f32 (/.f32 u1 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) |
(*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1)) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 (neg.f32 u1))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) |
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) |
(pow.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (sqrt.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))) |
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(/.f32 (neg.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (neg.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) u1)) (neg.f32 u1)) |
(*.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) |
(*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) |
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) |
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) #s(literal 1 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) |
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 u1)))) |
(neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (*.f32 u1 u1))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 u1 u1))) (/.f32 (+.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 u1)))) |
(-.f32 (/.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))) |
(-.f32 (/.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 u1 u1))) |
(-.f32 (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) |
(/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) |
(/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (neg.f32 (*.f32 u1 u1))) |
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32)))) |
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1) u1) |
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (neg.f32 (*.f32 u1 u1))) |
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) u1) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) #s(literal 1 binary32)) (neg.f32 (*.f32 u1 u1))) |
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) u1) |
(/.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1))) |
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) |
(/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (*.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (neg.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (neg.f32 (neg.f32 (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) (neg.f32 u1)) |
(/.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 u1)))) (neg.f32 (neg.f32 (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 u1)) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) #s(literal 1 binary32))) (neg.f32 (neg.f32 (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))) (neg.f32 u1)) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)))) (neg.f32 (neg.f32 (neg.f32 (*.f32 u1 u1))))) |
(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (neg.f32 u1))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) |
(*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) |
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) #s(literal 1 binary32)) |
(*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 u1 u1)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))) |
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) u1)) |
(*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) u1)) |
(*.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) |
| 1× | egg-herbie |
| 14 602× | accelerator-lowering-fma.f32 |
| 14 602× | accelerator-lowering-fma.f64 |
| 7 288× | *-lowering-*.f32 |
| 7 288× | *-lowering-*.f64 |
| 3 630× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 4324 |
| 1 | 1672 | 3933 |
| 2 | 5381 | 3904 |
| 0 | 8100 | 3702 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* (sqrt (/ u1 (- u1 1))) (sqrt -1)) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) |
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))) |
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))) |
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1)))))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))) |
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
-1 |
(- (* -1 u1) 1) |
(- (* u1 (- (* -1 u1) 1)) 1) |
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1) |
(/ 1 u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1) |
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1) |
(/ 1 u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1)) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
1 |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(* -1 u1) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* -1 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))) |
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/8 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) |
(sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1)))))))) |
(sqrt (pow u1 3)) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))) |
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2)) |
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(pow u1 3) |
(* (pow u1 3) (+ 1 (/ 1 u1))) |
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))) |
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))) |
(pow u1 3) |
(* (pow u1 3) (+ 1 (/ 1 u1))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 u1)) |
(pow u1 2) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(pow u1 2) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(cos (* 314159265359/50000000000 u2)) |
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))) |
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* -5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))) |
(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(sqrt (/ u1 (+ 1 u1))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(/ (+ (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1) |
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1) |
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1) |
(/ 1 (cos (* 314159265359/50000000000 u2))) |
(+ (/ 1 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ 1 (* u1 (cos (* 314159265359/50000000000 u2)))))) |
(- (+ (/ 1/2 (* u1 (cos (* 314159265359/50000000000 u2)))) (/ 1 (cos (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (cos (* 314159265359/50000000000 u2))))) |
(- (+ (/ 1/2 (* u1 (cos (* 314159265359/50000000000 u2)))) (+ (/ 1 (cos (* 314159265359/50000000000 u2))) (* 1/16 (/ 1 (* (pow u1 3) (cos (* 314159265359/50000000000 u2))))))) (* 1/8 (/ 1 (* (pow u1 2) (cos (* 314159265359/50000000000 u2)))))) |
(/ 1 (cos (* 314159265359/50000000000 u2))) |
(- (/ 1 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 6)))) (+ (/ 1/8 (* u1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 4)))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(sqrt (/ (+ 1 u1) u1)) |
(+ (sqrt (/ (+ 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (+ 1 u1) u1)) (pow u2 2)))) |
(+ (sqrt (/ (+ 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (+ 1 u1) u1)) (pow u2 2)))))) |
(+ (sqrt (/ (+ 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (+ 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (+ 1 u1) u1)) (pow u2 2)))))))) |
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ (+ 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
1 |
(+ 1 (* 1/2 u1)) |
(+ 1 (* u1 (+ 1/2 (* -1/8 u1)))) |
(+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/16 u1) 1/8))))) |
(sqrt u1) |
(* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* u1 (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) |
1 |
(+ 1 u1) |
(+ 1 u1) |
(+ 1 u1) |
u1 |
(* u1 (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
u1 |
(* u1 (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
1 |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(* -1 u1) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* -1 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(/ 1 (pow u1 2)) |
(/ (+ 1 u1) (pow u1 2)) |
(/ (+ 1 u1) (pow u1 2)) |
(/ (+ 1 u1) (pow u1 2)) |
(/ 1 u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ 1 u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ 1 (pow u1 2)) |
(/ (+ 1 (* 2 u1)) (pow u1 2)) |
(/ (+ 1 (* u1 (+ 2 u1))) (pow u1 2)) |
(/ (+ 1 (* u1 (+ 2 u1))) (pow u1 2)) |
1 |
(+ 1 (* 2 (/ 1 u1))) |
(+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))) |
(+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))) |
1 |
(+ 1 (* 2 (/ 1 u1))) |
(+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))) |
(+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
1 |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(sqrt u1) |
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(/ 1 (pow u1 2)) |
(/ (+ 1 u1) (pow u1 2)) |
(/ (+ 1 u1) (pow u1 2)) |
(/ (+ 1 u1) (pow u1 2)) |
(/ 1 u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ 1 u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
| Outputs |
|---|
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(+.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1) #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) u1)) |
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) |
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(* (sqrt u1) (pow (sqrt -1) 2)) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))) |
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-1 |
#s(literal -1 binary32) |
(- (* -1 u1) 1) |
(-.f32 #s(literal -1 binary32) u1) |
(- (* u1 (- (* -1 u1) 1)) 1) |
(fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) |
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1) |
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(/ 1 u1) |
(/.f32 #s(literal 1 binary32) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
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(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1) |
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(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1) |
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(/ 1 u1) |
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(/ (+ 1 (/ 1 u1)) u1) |
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(sqrt u1) |
(sqrt.f32 u1) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))) |
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(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
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u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
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#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(+.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1) #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) u1)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 u1) |
(neg.f32 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
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(-.f32 #s(literal 1 binary32) u1) |
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(* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
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(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) |
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(sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))))) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
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(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
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(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
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(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
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(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1)))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 3/8 binary32) u1))) (sqrt.f32 u1)) |
(sqrt (pow u1 3)) |
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(*.f32 u1 (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2)) |
(neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) |
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
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(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
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(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(fma.f32 u1 (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 u1) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1/8 binary32))) (*.f32 u1 u1))))) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(pow u1 3) |
(*.f32 u1 (*.f32 u1 u1)) |
(* (pow u1 3) (+ 1 (/ 1 u1))) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))) |
(*.f32 u1 (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1)) |
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))) |
(*.f32 u1 (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1)) |
(pow u1 3) |
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(* (pow u1 3) (+ 1 (/ 1 u1))) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
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(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))) |
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u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
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(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
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(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))) |
(*.f32 u1 (+.f32 (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
(* -1 (* u1 (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(neg.f32 (*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(neg.f32 (*.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) |
(*.f32 (neg.f32 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
1 |
#s(literal 1 binary32) |
(+ 1 u1) |
(+.f32 u1 #s(literal 1 binary32)) |
(+ 1 u1) |
(+.f32 u1 #s(literal 1 binary32)) |
(+ 1 u1) |
(+.f32 u1 #s(literal 1 binary32)) |
u1 |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 u1 #s(literal 1 binary32)) |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 u1 #s(literal 1 binary32)) |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 u1 #s(literal 1 binary32)) |
u1 |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 u1 #s(literal 1 binary32)) |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 u1 #s(literal 1 binary32)) |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 u1 #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 u1) |
(neg.f32 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(+.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1) #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) u1)) |
(/ 1 (pow u1 2)) |
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) |
(/ (+ 1 u1) (pow u1 2)) |
(/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) |
(/ (+ 1 u1) (pow u1 2)) |
(/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) |
(/ (+ 1 u1) (pow u1 2)) |
(/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) |
(/ 1 u1) |
(/.f32 #s(literal 1 binary32) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ 1 u1) |
(/.f32 #s(literal 1 binary32) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ 1 (pow u1 2)) |
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) |
(/ (+ 1 (* 2 u1)) (pow u1 2)) |
(/.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 u1 u1)) |
(/ (+ 1 (* u1 (+ 2 u1))) (pow u1 2)) |
(/.f32 (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) |
(/ (+ 1 (* u1 (+ 2 u1))) (pow u1 2)) |
(/.f32 (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 2 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)) |
(+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))) |
(+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) |
(+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))) |
(+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 2 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)) |
(+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))) |
(+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) |
(+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))) |
(+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))) |
(fma.f32 (sqrt.f32 u1) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/ 1 (pow u1 2)) |
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) |
(/ (+ 1 u1) (pow u1 2)) |
(/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) |
(/ (+ 1 u1) (pow u1 2)) |
(/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) |
(/ (+ 1 u1) (pow u1 2)) |
(/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) |
(/ 1 u1) |
(/.f32 #s(literal 1 binary32) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ 1 u1) |
(/.f32 #s(literal 1 binary32) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
(/ (+ 1 (/ 1 u1)) u1) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) |
Compiled 55 793 to 5 551 computations (90.1% saved)
53 alts after pruning (50 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 772 | 39 | 1 811 |
| Fresh | 12 | 11 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 787 | 53 | 1 840 |
| Status | Accuracy | Program |
|---|---|---|
| 84.6% | (fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) | |
| ▶ | 82.9% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| 92.5% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| 64.4% | (fma.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) | |
| 71.1% | (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) | |
| 80.3% | (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 98.8% | (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 63.3% | (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))) | |
| 66.9% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) | |
| 64.4% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) | |
| 61.1% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) | |
| 72.8% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) | |
| 80.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) | |
| 61.0% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) | |
| 80.5% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) | |
| ▶ | 88.0% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| 84.1% | (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) | |
| ▶ | 98.8% | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ▶ | 98.3% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 89.9% | (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.5% | (*.f32 (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 84.6% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 82.9% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| ✓ | 90.3% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 85.6% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.8% | (*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 80.3% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) | |
| 80.3% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) | |
| 83.8% | (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 84.3% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u1 u1))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.7% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.6% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 94.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 90.8% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| ✓ | 99.1% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.6% | (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 92.4% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 90.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 88.0% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 85.4% | (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 82.2% | (*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 72.9% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 88.0% | (*.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 76.0% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) | |
| 74.0% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) | |
| 70.8% | (sqrt.f32 (fma.f32 u1 u1 u1)) | |
| ✓ | 80.6% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 61.1% | (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) | |
| 80.5% | (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) | |
| 80.5% | (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) | |
| ▶ | 62.6% | (sqrt.f32 u1) |
Compiled 2 245 to 1 330 computations (40.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 u2 u2) |
| ✓ | cost-diff | 704 | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | cost-diff | 0 | (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| ✓ | cost-diff | 0 | (sqrt.f32 u1) |
| ✓ | cost-diff | 0 | (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | cost-diff | 0 | (sqrt.f32 u1) |
| ✓ | cost-diff | 0 | (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 1 320× | accelerator-lowering-fma.f32 |
| 1 320× | accelerator-lowering-fma.f64 |
| 908× | *-lowering-*.f32 |
| 908× | *-lowering-*.f64 |
| 362× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 221 |
| 1 | 78 | 221 |
| 2 | 189 | 212 |
| 3 | 427 | 212 |
| 4 | 592 | 212 |
| 5 | 652 | 212 |
| 6 | 778 | 212 |
| 7 | 885 | 212 |
| 8 | 1105 | 212 |
| 9 | 1235 | 212 |
| 10 | 1392 | 212 |
| 11 | 1585 | 212 |
| 12 | 1691 | 212 |
| 13 | 1746 | 212 |
| 14 | 1751 | 212 |
| 0 | 1751 | 197 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(/ (sqrt u1) (sqrt (- 1 u1))) |
(sqrt u1) |
u1 |
(sqrt (- 1 u1)) |
(- 1 u1) |
1 |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
(sqrt u1) |
u1 |
(* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1)))) |
(+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) |
u2 |
(* u2 -98696044010906577398881/5000000000000000000000) |
-98696044010906577398881/5000000000000000000000 |
1 |
(sqrt (/ u1 (- 1 u1))) |
(/ u1 (- 1 u1)) |
u1 |
(- 1 u1) |
(+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) |
(* u2 u2) |
u2 |
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) |
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) |
(+ (* u1 (+ (* u1 u1) u1)) u1) |
u1 |
(+ (* u1 u1) u1) |
(+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) |
(* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) |
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 |
-98696044010906577398881/5000000000000000000000 |
(* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) |
(* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) |
(/ 1 (sqrt (- 1 u1))) |
1 |
(sqrt (- 1 u1)) |
(- 1 u1) |
u1 |
(sqrt u1) |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
| Outputs |
|---|
(* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/ (sqrt u1) (sqrt (- 1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt u1) |
(sqrt.f32 u1) |
u1 |
(sqrt (- 1 u1)) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(- 1 u1) |
(-.f32 #s(literal 1 binary32) u1) |
1 |
#s(literal 1 binary32) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
314159265359/50000000000 |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(sqrt u1) |
(sqrt.f32 u1) |
u1 |
(* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) |
(fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
u2 |
(* u2 -98696044010906577398881/5000000000000000000000) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
-98696044010906577398881/5000000000000000000000 |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
1 |
#s(literal 1 binary32) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/ u1 (- 1 u1)) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(- 1 u1) |
(-.f32 #s(literal 1 binary32) u1) |
(+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(* u2 u2) |
(*.f32 u2 u2) |
u2 |
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) |
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(+ (* u1 (+ (* u1 u1) u1)) u1) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
u1 |
(+ (* u1 u1) u1) |
(fma.f32 u1 u1 u1) |
(+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) |
(fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 |
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) |
-98696044010906577398881/5000000000000000000000 |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
(* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/ 1 (sqrt (- 1 u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
1 |
#s(literal 1 binary32) |
(sqrt (- 1 u1)) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(- 1 u1) |
(-.f32 #s(literal 1 binary32) u1) |
u1 |
(sqrt u1) |
(sqrt.f32 u1) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
314159265359/50000000000 |
#s(literal 314159265359/50000000000 binary32) |
u2 |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 98.9% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
| ✓ | accuracy | 99.4% | (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
| ✓ | accuracy | 99.4% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| ✓ | accuracy | 98.8% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) |
| ✓ | accuracy | 98.7% | (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
| ✓ | accuracy | 99.6% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.5% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| ✓ | accuracy | 99.4% | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 98.9% | (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
| ✓ | accuracy | 100.0% | (sqrt.f32 u1) |
| ✓ | accuracy | 99.5% | (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.5% | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.1% | (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 73.0ms | 256× | 0 | valid |
Compiled 210 to 37 computations (82.4% saved)
ival-mult: 23.0ms (41.9% of total)const: 11.0ms (20% of total)ival-sqrt: 7.0ms (12.8% of total)ival-div: 5.0ms (9.1% of total)ival-add: 5.0ms (9.1% of total)ival-cos: 3.0ms (5.5% of total)ival-sub: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ()) |
#s(alt (/ (sqrt u1) (sqrt (- 1 u1))) (patch (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ()) |
#s(alt (sqrt u1) (patch (sqrt.f32 u1) #<representation binary32>) () ()) |
#s(alt (sqrt (- 1 u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ()) |
#s(alt (* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1)))) (patch (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ()) |
#s(alt (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (patch (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (* u2 -98696044010906577398881/5000000000000000000000) (patch (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ()) |
#s(alt (sqrt (/ u1 (- 1 u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ()) |
#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ()) |
#s(alt (* u2 u2) (patch (*.f32 u2 u2) #<representation binary32>) () ()) |
#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ()) |
#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ()) |
#s(alt (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #<representation binary32>) () ()) |
#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ()) |
#s(alt (/ 1 (sqrt (- 1 u1))) (patch (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ()) |
#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ()) |
#s(alt (/ u1 (- 1 u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ()) |
#s(alt (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (patch (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #<representation binary32>) () ()) |
#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor inf u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (taylor inf u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ u1 (- 1 u1))) (taylor 0 u2) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) (taylor 0 u2) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) (taylor 0 u2) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) (taylor 0 u2) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
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#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (taylor inf u2) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
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#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) (taylor inf u2) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) (taylor inf u2) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor -inf u2) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) (taylor -inf u2) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) (taylor -inf u2) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (taylor 0 u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))) (taylor 0 u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))) (taylor 0 u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))))))) (taylor 0 u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (taylor inf u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))) (taylor inf u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))) (taylor inf u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))) (taylor inf u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) (taylor -inf u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) (taylor -inf u1) (#s(alt (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) (patch (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #<representation binary32>) () ())) ()) |
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#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (taylor 0 u1) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
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#s(alt (+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))) (taylor 0 u1) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (pow u1 3)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (taylor inf u1) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (taylor inf u1) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (taylor inf u1) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) (taylor inf u1) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (taylor -inf u1) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (taylor -inf u1) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) (taylor -inf u1) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
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#s(alt (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (taylor 0 u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor 0 u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
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#s(alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor 0 u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
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#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor inf u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor inf u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor inf u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor -inf u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor -inf u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor -inf u2) (#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1)))))))) (taylor 0 u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (pow u1 3)) (taylor inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) (taylor inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))) (taylor inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))) (taylor inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)) (taylor -inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
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#s(alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) (taylor -inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
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#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) (taylor 0 u1) (#s(alt (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor inf u1) (#s(alt (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
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#s(alt (sqrt -1) (taylor -inf u1) (#s(alt (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #<representation binary32>) () ())) ()) |
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#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor inf u1) (#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (taylor inf u1) (#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
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#s(alt (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) (taylor 0 u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) (taylor 0 u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) (taylor 0 u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (taylor inf u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) (taylor inf u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) (taylor inf u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) (taylor inf u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) (taylor -inf u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) (taylor -inf u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) (taylor -inf u2) (#s(alt (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) (patch (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ())) ()) |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | u1 | @ | -inf | (/ 1 (sqrt (- 1 u1))) |
| 2.0ms | u1 | @ | -inf | (* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1)))) |
| 1.0ms | u1 | @ | -inf | (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) |
| 1.0ms | u1 | @ | inf | (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) |
| 1.0ms | u1 | @ | 0 | (+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) |
| 1× | batch-egg-rewrite |
| 5 226× | *-lowering-*.f32 |
| 5 226× | *-lowering-*.f64 |
| 4 642× | /-lowering-/.f32 |
| 4 642× | /-lowering-/.f64 |
| 4 184× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 158 |
| 1 | 171 | 157 |
| 2 | 1300 | 157 |
| 0 | 8235 | 143 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(/ (sqrt u1) (sqrt (- 1 u1))) |
(sqrt u1) |
(sqrt (- 1 u1)) |
(* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1)))) |
(+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) |
(* u2 -98696044010906577398881/5000000000000000000000) |
(sqrt (/ u1 (- 1 u1))) |
(+ (* (* u2 u2) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))) |
(* u2 u2) |
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) |
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) |
(* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) |
(* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) |
(/ 1 (sqrt (- 1 u1))) |
(* 314159265359/50000000000 u2) |
(/ u1 (- 1 u1)) |
(* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) |
(+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000) |
| Outputs |
|---|
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) |
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))) |
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32))) |
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) |
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) |
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) |
(neg.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(literal -1 binary32))) |
(exp.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal -1 binary32)))) |
(exp.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal -1 binary32) (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) |
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(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (-.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32)))))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32)))))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (+.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/625000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))) (neg.f32 (neg.f32 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))) (neg.f32 (-.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (/.f32 (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (fma.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (/.f32 (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))))) |
(*.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) |
(*.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32)))))) |
(*.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (neg.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32))))))) |
(*.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32))))))) |
(*.f32 (neg.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))) |
(*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) |
| 1× | egg-herbie |
| 15 022× | accelerator-lowering-fma.f32 |
| 15 022× | accelerator-lowering-fma.f64 |
| 8 028× | *-lowering-*.f32 |
| 8 028× | *-lowering-*.f64 |
| 3 794× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 524 | 5516 |
| 1 | 1683 | 4745 |
| 2 | 6105 | 4367 |
| 0 | 8448 | 4043 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
1 |
(+ 1 (* -1/2 u1)) |
(+ 1 (* u1 (- (* -1/8 u1) 1/2))) |
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2))) |
(* (sqrt u1) (sqrt -1)) |
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(* -1 (* (sqrt u1) (sqrt -1))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))) |
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))) |
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))) |
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))))) |
(* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) |
(+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) |
(+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) |
(* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) |
(+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
1 |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(* -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) |
(+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) |
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))) |
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))) |
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))) |
(* (pow u1 2) (+ (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* -1/2 (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow u1 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow u1 3)) (/ (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (pow (sqrt -1) 2))))) u1)) (+ (* -1/2 (sqrt u1)) (* -1/2 (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (+ (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) |
(+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))) |
(* (sqrt (pow u1 3)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) |
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) |
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* 1/8 (* (sqrt u1) (/ (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) |
(* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1)))))))) |
(sqrt (pow u1 3)) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))) |
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2)) |
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
1 |
(+ 1 (* 1/2 u1)) |
(+ 1 (* u1 (+ 1/2 (* 3/8 u1)))) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1)))))) |
(* (sqrt (/ 1 u1)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* (sqrt (/ 1 u1)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
-98696044010906577398881/5000000000000000000000 |
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) |
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) |
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
| Outputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -5/16 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/8 binary32)) u1))) (neg.f32 u1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)))) (neg.f32 u1))) (neg.f32 u1))) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))))) (sqrt.f32 u1)) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/8 binary32)) u1)) u1)) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32))) (neg.f32 u1))) u1)) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/2 u1)) |
(fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)) |
(+ 1 (* u1 (- (* -1/8 u1) 1/2))) |
(fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/16 binary32) #s(literal -1/8 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) |
(* (sqrt u1) (sqrt -1)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 #s(literal -1 binary32))) |
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(*.f32 u1 (fma.f32 #s(literal 1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(*.f32 u1 (fma.f32 #s(literal 1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))))))) |
(* -1 (* (sqrt u1) (sqrt -1))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (sqrt.f32 u1))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 u1)) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(*.f32 u1 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))))))) (neg.f32 u1)) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) |
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(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
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(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
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(sqrt u1) |
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1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 u1)) |
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(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)))) (*.f32 u1 (*.f32 u1 u1)))) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) u1)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
-98696044010906577398881/5000000000000000000000 |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) |
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) |
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) |
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
Compiled 38 592 to 2 839 computations (92.6% saved)
62 alts after pruning (56 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 291 | 22 | 1 313 |
| Fresh | 11 | 34 | 45 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 304 | 62 | 1 366 |
| Status | Accuracy | Program |
|---|---|---|
| 84.6% | (fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) | |
| 27.5% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) | |
| 82.6% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))) | |
| ✓ | 82.9% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| 67.7% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) | |
| 92.5% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| 73.7% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) | |
| 71.1% | (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) | |
| 87.7% | (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) | |
| 87.8% | (/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| ▶ | 98.8% | (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 87.9% | (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 80.3% | (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 98.7% | (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) | |
| 66.9% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) | |
| 61.1% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) | |
| ▶ | 72.8% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
| 80.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) | |
| 61.0% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) | |
| ▶ | 82.8% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
| 80.5% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) | |
| 76.4% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) | |
| ✓ | 88.0% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| 88.0% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) | |
| 66.2% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) | |
| 92.2% | (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 96.6% | (*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.5% | (*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 85.8% | (*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 96.5% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 5.5% | (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
| 89.9% | (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 26.8% | (*.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1/2 binary32))))) | |
| 84.6% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 82.9% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| ✓ | 90.3% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 85.6% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 80.3% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) | |
| 83.8% | (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 84.3% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u1 u1))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.7% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.6% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 94.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 90.8% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| ✓ | 99.1% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.6% | (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 92.4% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 90.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 85.4% | (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 67.7% | (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 72.9% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 88.0% | (*.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 10.4% | (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) | |
| 76.0% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) | |
| 74.0% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) | |
| ▶ | 70.8% | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| ✓ | 80.6% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 61.1% | (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) | |
| 80.5% | (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) | |
| 80.5% | (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) | |
| ✓ | 62.6% | (sqrt.f32 u1) |
Compiled 2 604 to 1 552 computations (40.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| ✓ | cost-diff | 0 | (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) |
| ✓ | cost-diff | 704 | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
| ✓ | cost-diff | 0 | (*.f32 u2 u2) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) |
| ✓ | cost-diff | 576 | (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
| ✓ | cost-diff | 0 | (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
| ✓ | cost-diff | 32 | (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
| ✓ | cost-diff | 0 | (fma.f32 u1 u1 u1) |
| ✓ | cost-diff | 0 | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| ✓ | cost-diff | 0 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| ✓ | cost-diff | 0 | (sqrt.f32 u1) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 3 918× | accelerator-lowering-fma.f32 |
| 3 918× | accelerator-lowering-fma.f64 |
| 3 534× | *-lowering-*.f32 |
| 3 534× | *-lowering-*.f64 |
| 1 424× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 258 |
| 1 | 86 | 254 |
| 2 | 235 | 244 |
| 3 | 584 | 238 |
| 4 | 1309 | 238 |
| 5 | 1946 | 238 |
| 6 | 4958 | 238 |
| 7 | 5291 | 238 |
| 8 | 5771 | 238 |
| 9 | 6346 | 238 |
| 10 | 7190 | 238 |
| 0 | 8018 | 221 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(sqrt u1) |
u1 |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
(sqrt (- 1 u1)) |
(- 1 u1) |
1 |
(sqrt (+ (* u1 u1) u1)) |
(+ (* u1 u1) u1) |
u1 |
(* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1))) |
(+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) |
u2 |
(* u2 -98696044010906577398881/5000000000000000000000) |
-98696044010906577398881/5000000000000000000000 |
1 |
(sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) |
(+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1) |
u1 |
(+ (* u1 (+ (* u1 u1) u1)) u1) |
(+ (* u1 u1) u1) |
(* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) |
(* (* u2 u2) (* u2 u2)) |
(* u2 u2) |
u2 |
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)))) |
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) |
(+ (* u1 (+ (* u1 u1) u1)) u1) |
u1 |
(+ (* u1 u1) u1) |
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))) |
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 |
(/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) |
-98696044010906577398881/5000000000000000000000 |
(/ 1 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) |
1 |
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
(sqrt u1) |
u1 |
| Outputs |
|---|
(/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt u1) |
(sqrt.f32 u1) |
u1 |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
314159265359/50000000000 |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(sqrt (- 1 u1)) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(- 1 u1) |
(-.f32 #s(literal 1 binary32) u1) |
1 |
#s(literal 1 binary32) |
(sqrt (+ (* u1 u1) u1)) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(+ (* u1 u1) u1) |
(fma.f32 u1 u1 u1) |
u1 |
(* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) |
(fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
u2 |
(* u2 -98696044010906577398881/5000000000000000000000) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
-98696044010906577398881/5000000000000000000000 |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
1 |
#s(literal 1 binary32) |
(sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) |
(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1) |
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) |
u1 |
(+ (* u1 (+ (* u1 u1) u1)) u1) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(+ (* u1 u1) u1) |
(fma.f32 u1 u1 u1) |
(* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) |
(* (* u2 u2) (* u2 u2)) |
(*.f32 u2 (*.f32 u2 (*.f32 u2 u2))) |
(* u2 u2) |
(*.f32 u2 u2) |
u2 |
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(+ (* u1 (+ (* u1 u1) u1)) u1) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
u1 |
(+ (* u1 u1) u1) |
(fma.f32 u1 u1 u1) |
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))) |
(+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) |
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 |
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) |
(/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) |
(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
-98696044010906577398881/5000000000000000000000 |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
(/ 1 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
1 |
#s(literal 1 binary32) |
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
314159265359/50000000000 |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(sqrt u1) |
(sqrt.f32 u1) |
u1 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
| ✓ | accuracy | 99.3% | (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) |
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
| ✓ | accuracy | 98.8% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
| ✓ | accuracy | 98.8% | (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
| ✓ | accuracy | 98.6% | (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) |
| ✓ | accuracy | 99.8% | (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
| ✓ | accuracy | 99.6% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
| ✓ | accuracy | 99.5% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
| ✓ | accuracy | 98.9% | (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
| ✓ | accuracy | 100.0% | (fma.f32 u1 u1 u1) |
| ✓ | accuracy | 99.8% | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| ✓ | accuracy | 99.5% | (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.1% | (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 130.0ms | 256× | 0 | valid |
Compiled 239 to 38 computations (84.1% saved)
ival-sqrt: 45.0ms (39.7% of total)ival-cos: 28.0ms (24.7% of total)ival-mult: 18.0ms (15.9% of total)const: 10.0ms (8.8% of total)ival-div: 6.0ms (5.3% of total)ival-add: 5.0ms (4.4% of total)ival-sub: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ()) |
#s(alt (sqrt u1) (patch (sqrt.f32 u1) #<representation binary32>) () ()) |
#s(alt (cos (* 314159265359/50000000000 u2)) (patch (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ()) |
#s(alt (sqrt (+ (* u1 u1) u1)) (patch (sqrt.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ()) |
#s(alt (+ (* u1 u1) u1) (patch (fma.f32 u1 u1 u1) #<representation binary32>) () ()) |
#s(alt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1) (patch (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) #<representation binary32>) () ()) |
#s(alt (* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1))) (patch (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) #<representation binary32>) () ()) |
#s(alt (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (patch (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (* u2 -98696044010906577398881/5000000000000000000000) (patch (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #<representation binary32>) () ()) |
#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ()) |
#s(alt (* (* u2 u2) (* u2 u2)) (patch (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #<representation binary32>) () ()) |
#s(alt (* u2 u2) (patch (*.f32 u2 u2) #<representation binary32>) () ()) |
#s(alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)))) (patch (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) #<representation binary32>) () ()) |
#s(alt (/ 1 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) #<representation binary32>) () ()) |
#s(alt (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) (patch (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #<representation binary32>) () ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (patch (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #<representation binary32>) () ()) |
#s(alt (* 314159265359/50000000000 u2) (patch (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ()) |
#s(alt (sqrt (- 1 u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ()) |
#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor inf u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (taylor inf u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ u1 (- 1 u1))) (taylor 0 u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) (taylor 0 u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) (taylor 0 u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) (taylor 0 u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (patch (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor inf u1) (#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor inf u1) (#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor inf u1) (#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (taylor -inf u1) (#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (patch (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ()) |
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#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) (taylor 0 u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) (taylor 0 u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (taylor inf u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor inf u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor inf u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor inf u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (taylor -inf u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor -inf u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor -inf u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (taylor -inf u2) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (taylor 0 u1) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (taylor 0 u1) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))))) (taylor 0 u1) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))))))) (taylor 0 u1) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (pow u1 3)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (taylor inf u1) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))) (taylor inf u1) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))))) (taylor inf u1) (#s(alt (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) (patch (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) #<representation binary32>) () ())) ()) |
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#s(alt (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) (taylor inf u1) (#s(alt (sqrt (- 1 u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) (taylor inf u1) (#s(alt (sqrt (- 1 u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) (taylor inf u1) (#s(alt (sqrt (- 1 u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (sqrt u1) (sqrt -1))) (taylor -inf u1) (#s(alt (sqrt (- 1 u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))) (taylor -inf u1) (#s(alt (sqrt (- 1 u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) (taylor -inf u1) (#s(alt (sqrt (- 1 u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))) (taylor -inf u1) (#s(alt (sqrt (- 1 u1)) (patch (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) (taylor 0 u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (pow u1 2) (taylor inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1)))) (taylor inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))) (taylor inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))))) (taylor inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (pow u1 2) (taylor -inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1)))) (taylor -inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))) (taylor -inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow u1 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))) (taylor -inf u1) (#s(alt (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) (patch (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor 0 u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor 0 u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor 0 u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor 0 u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor inf u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor inf u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor inf u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor inf u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
#s(alt (/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) (patch (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #<representation binary32>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | u1 | @ | 0 | (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)))) |
| 2.0ms | u2 | @ | -inf | (/ 1 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) |
| 1.0ms | u1 | @ | -inf | (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) |
| 1.0ms | u1 | @ | 0 | (* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) |
| 1.0ms | u2 | @ | 0 | (* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1))) |
| 1× | batch-egg-rewrite |
| 7 358× | accelerator-lowering-fma.f32 |
| 7 358× | accelerator-lowering-fma.f64 |
| 4 076× | /-lowering-/.f32 |
| 4 076× | /-lowering-/.f64 |
| 3 836× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 180 |
| 1 | 192 | 176 |
| 2 | 1421 | 174 |
| 0 | 8366 | 154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(sqrt u1) |
(cos (* 314159265359/50000000000 u2)) |
(sqrt (+ (* u1 u1) u1)) |
(+ (* u1 u1) u1) |
(+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1) |
(* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1))) |
(+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) |
(* u2 -98696044010906577398881/5000000000000000000000) |
(* (* (* u2 u2) (* u2 u2)) (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2))))) |
(* (* u2 u2) (* u2 u2)) |
(* u2 u2) |
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ -98696044010906577398881/5000000000000000000000 (* u2 u2)))) |
(/ 1 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) |
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) |
(* 314159265359/50000000000 u2) |
(sqrt (- 1 u1)) |
(sqrt (+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)) |
(/ -98696044010906577398881/5000000000000000000000 (* u2 u2)) |
| Outputs |
|---|
(neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))) |
(exp.f32 (-.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))) |
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) |
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 u1) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) |
(*.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))) |
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) |
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
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| 1× | egg-herbie |
| 13 408× | accelerator-lowering-fma.f32 |
| 13 408× | accelerator-lowering-fma.f64 |
| 8 126× | *-lowering-*.f32 |
| 8 126× | *-lowering-*.f64 |
| 3 650× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 505 | 5035 |
| 1 | 1634 | 4352 |
| 2 | 5724 | 4074 |
| 0 | 8424 | 3812 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(sqrt u1) |
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
1 |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos (* 314159265359/50000000000 u2)) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt (/ 1 u1)))))))) |
u1 |
(* u1 (+ 1 (* 1/2 (/ 1 u1)))) |
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2)))) |
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2)))) |
(* -1 u1) |
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1))))) |
(* -1 (* u1 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 u1)) 1/2) u1))))) |
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 u1)) 1/8) u1)) 1/2) u1))))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 u1)) |
(pow u1 2) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(pow u1 2) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(pow u1 4) |
(* (pow u1 4) (+ 1 (/ 1 u1))) |
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))) |
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3)))))) |
(pow u1 4) |
(* (pow u1 4) (+ 1 (/ 1 u1))) |
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))) |
(* (pow u1 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)))) |
(sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(+ (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2))))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2))))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (* u1 (+ u1 (pow u1 2)))))))))) |
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))) |
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))))) |
(* (pow u1 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) |
(* (pow u1 2) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) u1))))) |
(* (pow u1 2) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (+ (* 3/8 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (pow u1 2))) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) u1)))))) |
(* (pow u1 2) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (+ (* 5/16 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (pow u1 3))) (+ (* 3/8 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (pow u1 2))) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) u1))))))) |
(* (pow u1 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) |
(* (pow u1 2) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) u1))))) |
(* (pow u1 2) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* -1 (/ (+ (* -1/2 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* -3/8 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) u1))) u1))))) |
(* (pow u1 2) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) u1)) (* 3/8 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) u1)) (* -1/2 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) u1))))) |
1 |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(* -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) |
(* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) |
(+ (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))))) |
(+ (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))))))) |
(* (sqrt (pow u1 3)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))))) |
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt (/ 1 u1)) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))))) |
(* (sqrt (pow u1 3)) (* (pow u2 4) (* (pow (sqrt -1) 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt (/ 1 u1)) (* (pow u2 4) (* (pow (sqrt -1) 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt (/ 1 u1)) (* (pow u2 4) (* (pow (sqrt -1) 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* 1/8 (* (sqrt u1) (/ (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) (* (sqrt (/ 1 u1)) (* (pow u2 4) (* (pow (sqrt -1) 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))))) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 4) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(* (sqrt u1) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (sqrt u1) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) |
(+ (* (sqrt u1) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))))) |
(+ (* (sqrt u1) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))))))) |
(* (sqrt (pow u1 3)) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))) |
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))))) |
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* 1/8 (* (sqrt u1) (/ (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))))))) |
(* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(/ (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (pow u2 2)) |
(/ (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (pow u2 2)) |
(/ (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))) (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) |
(sqrt u1) |
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(sqrt (/ 1 u1)) |
(+ (sqrt (/ 1 u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))) |
(+ (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) |
(+ (sqrt (/ 1 u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ 1 u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
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(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(sqrt u1) |
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
1 |
(+ 1 (* -1/2 u1)) |
(+ 1 (* u1 (- (* -1/8 u1) 1/2))) |
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2))) |
(* (sqrt u1) (sqrt -1)) |
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(* -1 (* (sqrt u1) (sqrt -1))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(pow u1 2) |
(* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1)))) |
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))) |
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))))) |
(pow u1 2) |
(* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1)))) |
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))) |
(* (pow u1 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
| Outputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(fma.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32)))) (neg.f32 u1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)))) (neg.f32 u1))) u1)) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))) |
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/8 binary32))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt (/ 1 u1)))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 1/16 binary32) (*.f32 u1 u1) #s(literal 1/2 binary32)))) (sqrt.f32 u1)) |
u1 |
(* u1 (+ 1 (* 1/2 (/ 1 u1)))) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2)))) |
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1)))) |
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(* -1 u1) |
(neg.f32 u1) |
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(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
(/ -98696044010906577398881/5000000000000000000000 (pow u2 2)) |
(/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) |
Compiled 33 279 to 2 763 computations (91.7% saved)
82 alts after pruning (74 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 218 | 27 | 1 245 |
| Fresh | 4 | 47 | 51 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 225 | 82 | 1 307 |
| Status | Accuracy | Program |
|---|---|---|
| 84.6% | (fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) | |
| 67.7% | (fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) | |
| 27.5% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) | |
| 67.7% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) | |
| 92.5% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| 73.7% | (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) | |
| 71.1% | (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) | |
| 68.8% | (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) | |
| 92.2% | (/.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 87.7% | (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) | |
| 87.8% | (/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 5.3% | (/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) | |
| 90.5% | (/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 92.2% | (/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 87.5% | (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) | |
| 87.9% | (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 80.3% | (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 98.7% | (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) | |
| 5.3% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))))) | |
| 66.9% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) | |
| 61.1% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) | |
| 68.8% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))) | |
| ✓ | 72.8% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
| 65.2% | (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) | |
| 80.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) | |
| 61.0% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) | |
| 98.2% | (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 14.0% | (+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) | |
| 20.6% | (+.f32 u1 #s(literal 1/2 binary32)) | |
| 4.2% | (+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) | |
| 21.7% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) | |
| 19.0% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) | |
| ✓ | 82.8% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
| 80.5% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) | |
| 76.4% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) | |
| ✓ | 88.0% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| 88.0% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) | |
| 19.7% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) | |
| 66.2% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) | |
| 92.2% | (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 96.6% | (*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.5% | (*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 85.8% | (*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 96.5% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 5.5% | (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) | |
| 10.4% | (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) | |
| 89.9% | (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 5.5% | (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) | |
| 26.8% | (*.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1/2 binary32))))) | |
| 5.7% | (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) | |
| 84.6% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 82.9% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| ✓ | 90.3% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 85.6% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 80.3% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) | |
| 83.8% | (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 84.3% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u1 u1))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 94.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 90.8% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| ✓ | 99.1% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.6% | (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 70.7% | (*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) | |
| 92.4% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 90.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 85.4% | (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 67.7% | (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 98.3% | (*.f32 (sqrt.f32 u1) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) | |
| 5.5% | (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) | |
| 72.9% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 88.0% | (*.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 76.0% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) | |
| 74.0% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) | |
| ✓ | 70.8% | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| ✓ | 80.6% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 61.1% | (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) | |
| 80.5% | (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) | |
| 80.5% | (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) | |
| 70.7% | (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) | |
| ✓ | 62.6% | (sqrt.f32 u1) |
| 4.5% | (neg.f32 u1) | |
| 19.3% | u1 |
Compiled 3 878 to 1 461 computations (62.3% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
(*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) |
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 u1) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 u1 u1))) (*.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
8 calls:
| 147.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 52.0ms | u2 |
| 47.0ms | cosTheta_i |
| 38.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 35.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | cosTheta_i |
| 99.1% | 1 | u1 |
| 99.1% | 1 | u2 |
| 99.1% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 99.1% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 99.1% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 99.1% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 99.1% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
(*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
8 calls:
| 63.0ms | u1 |
| 57.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 55.0ms | u2 |
| 55.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 52.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | u2 |
| 98.3% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 92.5% | 1 | cosTheta_i |
| 98.0% | 2 | u1 |
| 98.1% | 2 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.0% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 98.0% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 97.9% | 2 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
(*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
6 calls:
| 63.0ms | u2 |
| 57.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 40.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 39.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 19.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 2 | u1 |
| 97.1% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 97.1% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 97.8% | 2 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 97.9% | 2 | u2 |
| 97.9% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 45 to 35 computations (22.2% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
(*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
3 calls:
| 50.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 21.0ms | u2 |
| 18.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 97.9% | 2 | u2 |
| 97.9% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 17 to 14 computations (17.6% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
(*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1/2 binary32))))) |
| Outputs |
|---|
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
7 calls:
| 79.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 46.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 44.0ms | u2 |
| 22.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 18.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | u1 |
| 92.5% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 92.5% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 95.7% | 2 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 92.5% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 96.5% | 2 | u2 |
| 96.5% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 52 to 41 computations (21.2% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
(*.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
| Outputs |
|---|
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
4 calls:
| 47.0ms | cosTheta_i |
| 39.0ms | u2 |
| 18.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 17.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 1 | cosTheta_i |
| 92.5% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 92.5% | 1 | u2 |
| 92.5% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
8 calls:
| 107.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 47.0ms | u2 |
| 37.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 36.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 35.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | u1 |
| 92.4% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 92.4% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 92.4% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 92.4% | 1 | cosTheta_i |
| 92.4% | 1 | u2 |
| 92.4% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 92.4% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
8 calls:
| 23.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 19.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 16.0ms | u1 |
| 16.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 15.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 90.8% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 90.8% | 1 | cosTheta_i |
| 90.8% | 1 | u1 |
| 90.8% | 1 | u2 |
| 90.8% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 90.8% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 90.8% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1) u1)) u1)) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
8 calls:
| 41.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 26.0ms | u2 |
| 14.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 14.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 13.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 1 | u1 |
| 90.7% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 90.7% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 90.7% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 90.7% | 1 | cosTheta_i |
| 90.7% | 1 | u2 |
| 90.7% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 90.7% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(fma.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) |
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) (*.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
| Outputs |
|---|
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
8 calls:
| 15.0ms | u2 |
| 13.0ms | u1 |
| 13.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 12.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 12.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 1 | u1 |
| 88.0% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 88.0% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 88.0% | 1 | cosTheta_i |
| 88.0% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 88.0% | 1 | u2 |
| 88.0% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 88.0% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| Outputs |
|---|
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
8 calls:
| 8.0ms | cosTheta_i |
| 8.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 7.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 7.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 7.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 1 | cosTheta_i |
| 86.6% | 2 | u1 |
| 86.6% | 2 | u2 |
| 86.8% | 2 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 86.6% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 86.6% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 86.6% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 86.6% | 2 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
7 calls:
| 8.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 8.0ms | u2 |
| 7.0ms | u1 |
| 7.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 7.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 2 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 85.5% | 2 | u1 |
| 85.5% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 85.5% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 85.6% | 2 | u2 |
| 85.6% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 85.8% | 2 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Compiled 52 to 41 computations (21.2% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
| Outputs |
|---|
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
7 calls:
| 6.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 6.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 5.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 5.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 5.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 1 | u1 |
| 80.6% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 80.6% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 80.6% | 1 | u2 |
| 80.6% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 83.7% | 2 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 84.0% | 2 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Compiled 52 to 41 computations (21.2% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 u1 (+.f32 u1 #s(literal 1/2 binary32)))) |
| Outputs |
|---|
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
4 calls:
| 5.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 5.0ms | u2 |
| 4.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 4.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 1 | u2 |
| 80.6% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 80.6% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 80.6% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Compiled 31 to 25 computations (19.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
| Outputs |
|---|
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
8 calls:
| 4.0ms | u1 |
| 4.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 4.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 4.0ms | u2 |
| 3.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 74.0% | 1 | cosTheta_i |
| 74.0% | 1 | u1 |
| 74.0% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 74.0% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 74.0% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 74.0% | 1 | u2 |
| 74.0% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) |
| Outputs |
|---|
(sqrt.f32 (fma.f32 u1 u1 u1)) |
8 calls:
| 5.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 4.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 3.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 3.0ms | u1 |
| 3.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 70.8% | 1 | u1 |
| 70.8% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 70.8% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 70.8% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 70.8% | 1 | cosTheta_i |
| 70.8% | 1 | u2 |
| 70.8% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(sqrt.f32 u1) |
| Outputs |
|---|
(sqrt.f32 u1) |
8 calls:
| 4.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 4.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 3.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 2.0ms | cosTheta_i |
| 2.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 62.6% | 1 | cosTheta_i |
| 62.6% | 1 | u1 |
| 62.6% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 62.6% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 62.6% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 62.6% | 1 | u2 |
| 62.6% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
| Outputs |
|---|
(+.f32 u1 #s(literal 1/2 binary32)) |
8 calls:
| 3.0ms | u1 |
| 2.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 2.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 2.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 2.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.6% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 20.6% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 20.6% | 1 | cosTheta_i |
| 20.6% | 1 | u1 |
| 20.6% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 20.6% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 20.6% | 1 | u2 |
| 20.6% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
Total -5.0b remaining (-19.5%)
Threshold costs -5b (-19.5%)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
| Outputs |
|---|
u1 |
8 calls:
| 2.0ms | u1 |
| 2.0ms | cosTheta_i |
| 2.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 2.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 2.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.3% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 19.3% | 1 | u1 |
| 19.3% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 19.3% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 19.3% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 19.3% | 1 | u2 |
| 19.3% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 19.3% | 1 | cosTheta_i |
Compiled 56 to 44 computations (21.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3459022045135498 | 0.35599279403686523 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6534839868545532 | 0.6788744926452637 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6534839868545532 | 0.6788744926452637 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8823167681694031 | 0.9750846028327942 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.10374709218740463 | 0.10930367559194565 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.030481833964586258 | 0.0319809652864933 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0012246506521478295 | 0.0012714440235868096 |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
| 54× | *-commutative_binary32 |
| 16× | +-commutative_binary32 |
| 14× | sub-neg_binary32 |
| 12× | neg-sub0_binary32 |
| 12× | neg-mul-1_binary32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 444 |
| 1 | 107 | 444 |
| 2 | 116 | 444 |
| 3 | 126 | 444 |
| 4 | 136 | 442 |
| 5 | 147 | 442 |
| 6 | 149 | 442 |
| 7 | 150 | 442 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/33554432 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11072963/16777216 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11072963/16777216 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 7549747/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 14092861/134217728 binary32)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 8321499/268435456 binary32)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 5368709/4294967296 binary32)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
u1 |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/33554432 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/33554432 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11072963/16777216 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11072963/16777216 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11072963/16777216 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11072963/16777216 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 7549747/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 7549747/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 14092861/134217728 binary32)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 14092861/134217728 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 8321499/268435456 binary32)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 8321499/268435456 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 5368709/4294967296 binary32)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 5368709/4294967296 binary32)) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(sqrt.f32 u1) |
(+.f32 u1 #s(literal 1/2 binary32)) |
u1 |
| 21 824× | accelerator-lowering-fma.f32 |
| 21 824× | accelerator-lowering-fma.f64 |
| 15 022× | accelerator-lowering-fma.f32 |
| 15 022× | accelerator-lowering-fma.f64 |
| 14 602× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 178 |
| 1 | 202 | 156 |
| 2 | 1742 | 152 |
| 0 | 8142 | 145 |
| 0 | 10 | 28 |
| 1 | 40 | 28 |
| 2 | 231 | 28 |
| 3 | 1947 | 28 |
| 0 | 9665 | 28 |
| 0 | 180 | 906 |
| 1 | 523 | 815 |
| 2 | 1543 | 747 |
| 3 | 4760 | 699 |
| 0 | 8231 | 673 |
| 0 | 554 | 4324 |
| 1 | 1672 | 3933 |
| 2 | 5381 | 3904 |
| 0 | 8100 | 3702 |
| 0 | 505 | 5035 |
| 1 | 1634 | 4352 |
| 2 | 5724 | 4074 |
| 0 | 8424 | 3812 |
| 0 | 524 | 5516 |
| 1 | 1683 | 4745 |
| 2 | 6105 | 4367 |
| 0 | 8448 | 4043 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 744 to 302 computations (59.4% saved)
(abs u2)
(abs cosTheta_i)
Compiled 1 198 to 394 computations (67.1% saved)
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