
Time bar (total: 14.1s)
| 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)
| 1.2s | 8 256× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
const: 390.0ms (39.1% of total)ival-<=: 134.0ms (13.4% of total)ival-cos: 124.0ms (12.4% of total)ival-mult: 102.0ms (10.2% of total)ival-sqrt: 71.0ms (7.1% of total)ival-div: 65.0ms (6.5% of total)ival-sub: 44.0ms (4.4% of total)ival-and: 34.0ms (3.4% of total)ival->: 27.0ms (2.7% of total)exact: 5.0ms (0.5% of total)ival-assert: 3.0ms (0.3% 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 |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 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 | - | (/.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))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f32 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 104 to 48 computations (53.8% saved)
const: 7.0ms (21.9% of total)ival-mult: 6.0ms (18.8% of total)ival-cos: 6.0ms (18.8% of total)ival-sqrt: 6.0ms (18.8% of total)ival-div: 4.0ms (12.5% of total)ival-sub: 2.0ms (6.3% 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 | 99.7% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.6% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.5% | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 24.0ms | 256× | 0 | valid |
Compiled 38 to 13 computations (65.8% saved)
ival-cos: 4.0ms (25.1% of total)ival-mult: 3.0ms (18.8% of total)const: 3.0ms (18.8% of total)ival-div: 2.0ms (12.5% of total)ival-sqrt: 2.0ms (12.5% of total)ival-sub: 1.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (sqrt (/ u1 (- 1 u1)))> |
#<alt (/ u1 (- 1 u1))> |
#<alt (- 1 u1)> |
#<alt (* 314159265359/50000000000 u2)> |
| Outputs |
|---|
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<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)))))))> |
#<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)))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<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))))> |
#<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)))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<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)))> |
#<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)))> |
#<alt (sqrt (/ u1 (- 1 u1)))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))> |
#<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)))))))))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))> |
#<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))))))))))> |
#<alt (sqrt -1)> |
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))> |
#<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))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))> |
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1 u1))> |
#<alt (+ 1 (* -1 u1))> |
#<alt (+ 1 (* -1 u1))> |
#<alt (* -1 u1)> |
#<alt (* u1 (- (/ 1 u1) 1))> |
#<alt (* u1 (- (/ 1 u1) 1))> |
#<alt (* u1 (- (/ 1 u1) 1))> |
#<alt (* -1 u1)> |
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))> |
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))> |
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | u1 | @ | 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 | @ | -inf | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u1 | @ | -inf | (* (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)))) |
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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) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))) |
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(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) (pow.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #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) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) |
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(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) |
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(*.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 (-.f32 #s(literal 0 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #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) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #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))) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #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))))) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (-.f32 #s(literal 0 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #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) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #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) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #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) (-.f32 #s(literal 0 binary32) (fma.f32 u1 (+.f32 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 (+.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 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #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 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #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)) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 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)) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 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 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 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 16 176 to 2 488 computations (84.6% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 565 | 27 | 592 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 565 | 28 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| 92.9% | (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)))) | |
| 91.3% | (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)))) | |
| 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)))) | |
| ▶ | 87.6% | (*.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))) |
| 87.7% | (*.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)))) | |
| 98.0% | (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) | |
| ▶ | 71.2% | (*.f32 (pow.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 83.6% | (*.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 83.9% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 70.8% | (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 89.9% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 85.1% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 96.0% | (*.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))) | |
| 98.9% | (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 99.0% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 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 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 u1 (*.f32 u1 u1))))))) (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))) | |
| 87.9% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 90.9% | (*.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))) |
| ▶ | 99.0% | (*.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))) |
| 71.1% | (*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 83.8% | (*.f32 (sqrt.f32 (*.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))) | |
| 98.9% | (*.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))) | |
| 73.2% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 96.4% | (*.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))) | |
| ▶ | 79.1% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
Compiled 1 268 to 793 computations (37.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (pow.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (pow.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 224 | (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
| ✓ | 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 | (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)) |
| ✓ | 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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
| ✓ | cost-diff | 0 | (*.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))) |
| 4 976× | accelerator-lowering-fma.f32 |
| 4 976× | accelerator-lowering-fma.f64 |
| 2 600× | *-lowering-*.f32 |
| 2 600× | *-lowering-*.f64 |
| 1 952× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 248 |
| 1 | 67 | 248 |
| 2 | 120 | 248 |
| 3 | 282 | 248 |
| 4 | 723 | 248 |
| 5 | 1181 | 248 |
| 6 | 1301 | 248 |
| 7 | 1627 | 248 |
| 8 | 2301 | 248 |
| 9 | 2621 | 248 |
| 10 | 3299 | 248 |
| 11 | 6216 | 248 |
| 12 | 7849 | 248 |
| 0 | 8001 | 236 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 (+ (/ 1 u1) -1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt (/ 1 (+ (/ 1 u1) -1))) |
(/ 1 (+ (/ 1 u1) -1)) |
1 |
(+ (/ 1 u1) -1) |
(/ 1 u1) |
u1 |
-1 |
(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 |
(* (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* u1 (* u1 1/2))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) |
(+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* u1 (* u1 1/2))) (sqrt u1)) |
(+ (sqrt u1) (sqrt (/ 1 u1))) |
(sqrt u1) |
u1 |
(sqrt (/ 1 u1)) |
(/ 1 u1) |
1 |
(* u1 (* u1 1/2)) |
(* u1 1/2) |
1/2 |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
(* (pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) (cos (* 314159265359/50000000000 u2))) |
(pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) |
(* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) |
(/ u1 (+ u1 1)) |
u1 |
(+ u1 1) |
1 |
1/4 |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
| Outputs |
|---|
(* (sqrt (/ 1 (+ (/ 1 u1) -1))) (cos (* 314159265359/50000000000 u2))) |
(*.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))) |
(sqrt (/ 1 (+ (/ 1 u1) -1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/ 1 (+ (/ 1 u1) -1)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ (/ 1 u1) -1) |
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) |
(/ 1 u1) |
(/.f32 #s(literal 1 binary32) u1) |
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 (- 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 |
(* (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* u1 (* u1 1/2))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) (sqrt.f32 u1)) #s(literal 0 binary32)) |
(+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* u1 (* u1 1/2))) (sqrt u1)) |
(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) (sqrt.f32 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) |
(* u1 (* u1 1/2)) |
(fma.f32 u1 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(* u1 1/2) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 0 binary32)) |
1/2 |
#s(literal 1/2 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 |
(* (pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 0 binary32)) (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 1/4 binary32))) |
(pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) |
(pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 0 binary32)) (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 1/4 binary32)) |
(* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) |
(/.f32 (fma.f32 u1 u1 #s(literal 0 binary32)) (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32))) |
(/ u1 (+ u1 1)) |
(/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) |
u1 |
(+ u1 1) |
(+.f32 #s(literal 1 binary32) u1) |
1 |
#s(literal 1 binary32) |
1/4 |
#s(literal 1/4 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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f32 (pow.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.1% | (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 98.7% | (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
| ✓ | accuracy | 99.5% | (*.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))) |
| ✓ | accuracy | 99.3% | (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.3% | (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)) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | 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 | 99.7% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.5% | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.7% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
| ✓ | accuracy | 99.6% | (*.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))) |
| ✓ | accuracy | 99.2% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 71.0ms | 256× | 0 | valid |
Compiled 241 to 39 computations (83.8% saved)
ival-mult: 15.0ms (28.6% of total)ival-add: 9.0ms (17.2% of total)ival-div: 8.0ms (15.2% of total)ival-sqrt: 8.0ms (15.2% of total)const: 4.0ms (7.6% of total)ival-pow: 4.0ms (7.6% of total)ival-cos: 3.0ms (5.7% of total)ival-sub: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (/ 1 (+ (/ 1 u1) -1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (sqrt (/ 1 (+ (/ 1 u1) -1)))> |
#<alt (/ 1 (+ (/ 1 u1) -1))> |
#<alt (+ (/ 1 u1) -1)> |
#<alt (sqrt (/ u1 (- 1 u1)))> |
#<alt (/ u1 (- 1 u1))> |
#<alt (- 1 u1)> |
#<alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (cos (* 314159265359/50000000000 u2)))> |
#<alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))> |
#<alt (+ (* u1 (+ (* u1 u1) u1)) u1)> |
#<alt (+ (* u1 u1) u1)> |
#<alt (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* u1 (* u1 1/2))) (sqrt u1))> |
#<alt (+ (sqrt u1) (sqrt (/ 1 u1)))> |
#<alt (sqrt u1)> |
#<alt (sqrt (/ 1 u1))> |
#<alt (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1)))> |
#<alt (* (pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) (cos (* 314159265359/50000000000 u2)))> |
#<alt (pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4)> |
#<alt (/ u1 (+ u1 1))> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (* (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* u1 (* u1 1/2))) (sqrt u1)) (cos (* 314159265359/50000000000 u2)))> |
| Outputs |
|---|
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<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)))))))> |
#<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)))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<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))))> |
#<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)))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<alt (sqrt (/ 1 (- (/ 1 u1) 1)))> |
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))))> |
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))> |
#<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))))))))))> |
#<alt (sqrt -1)> |
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))> |
#<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))))> |
#<alt (sqrt -1)> |
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))> |
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)> |
#<alt (/ 1 u1)> |
#<alt (/ (+ 1 (* -1 u1)) u1)> |
#<alt (/ (+ 1 (* -1 u1)) u1)> |
#<alt (/ (+ 1 (* -1 u1)) u1)> |
#<alt -1> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt -1> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))> |
#<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))))))))))> |
#<alt (sqrt -1)> |
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))> |
#<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))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))> |
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1 u1))> |
#<alt (+ 1 (* -1 u1))> |
#<alt (+ 1 (* -1 u1))> |
#<alt (* -1 u1)> |
#<alt (* u1 (- (/ 1 u1) 1))> |
#<alt (* u1 (- (/ 1 u1) 1))> |
#<alt (* u1 (- (/ 1 u1) 1))> |
#<alt (* -1 u1)> |
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))> |
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))> |
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))> |
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))> |
#<alt (* (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))))))> |
#<alt (* (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)))))))> |
#<alt (* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))> |
#<alt (* (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)))))> |
#<alt (* (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))))))> |
#<alt (* (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))))))> |
#<alt (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))> |
#<alt (+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))> |
#<alt (+ (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))))))))))> |
#<alt (+ (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)))))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))> |
#<alt (sqrt (pow u1 3))> |
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))> |
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))> |
#<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))))))))> |
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))> |
#<alt (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))> |
#<alt (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<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)))))> |
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))> |
#<alt (pow u1 3)> |
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))> |
#<alt (* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))> |
#<alt (pow u1 3)> |
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))> |
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))> |
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))> |
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 u1))> |
#<alt (pow u1 2)> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (pow u1 2)> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))> |
#<alt (+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))> |
#<alt (* 1/2 (sqrt (pow u1 5)))> |
#<alt (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))> |
#<alt (* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))> |
#<alt (* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))> |
#<alt (* -1/2 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)> |
#<alt (/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)> |
#<alt (/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)> |
#<alt (sqrt u1)> |
#<alt (* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))> |
#<alt (* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))> |
#<alt (* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))> |
#<alt (pow u1 2)> |
#<alt (* (pow u1 2) (+ 1 (* -2 u1)))> |
#<alt (* (pow u1 2) (+ 1 (* u1 (- (* 3 u1) 2))))> |
#<alt (* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 u1)))> |
#<alt (- (+ 1 (/ 3 (pow u1 2))) (* 2 (/ 1 u1)))> |
#<alt (- (+ 1 (/ 3 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 u1)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 u1))) u1)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 u1))) u1))) u1)))> |
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<alt (+ (* (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)))))))> |
#<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)))))))))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))> |
#<alt (+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))> |
#<alt (+ (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))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<alt (sqrt (/ u1 (+ 1 u1)))> |
#<alt (+ (sqrt (/ u1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))))> |
#<alt (+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))))))> |
#<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)))))))))> |
#<alt (* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 u1)))> |
#<alt (- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))> |
#<alt (- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))> |
#<alt u1> |
#<alt (* u1 (+ 1 (* -1 u1)))> |
#<alt (* u1 (+ 1 (* u1 (- u1 1))))> |
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 u1))> |
#<alt (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))> |
#<alt (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 u1))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt 1> |
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))> |
#<alt (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))> |
#<alt (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<alt (+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<alt (+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<alt (* 1/2 (* (sqrt (pow u1 5)) (cos (* 314159265359/50000000000 u2))))> |
#<alt (* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2))))))> |
#<alt (* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2))))))> |
#<alt (* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2))))))> |
#<alt (* -1/2 (* (sqrt (pow u1 5)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))> |
#<alt (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))> |
#<alt (+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))))))))> |
#<alt (+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | u1 | @ | 0 | (* (pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) (cos (* 314159265359/50000000000 u2))) |
| 11.0ms | u2 | @ | 0 | (* (pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) (cos (* 314159265359/50000000000 u2))) |
| 4.0ms | u2 | @ | inf | (* (sqrt (/ 1 (+ (/ 1 u1) -1))) (cos (* 314159265359/50000000000 u2))) |
| 3.0ms | u2 | @ | inf | (* (pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u1 | @ | -inf | (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (cos (* 314159265359/50000000000 u2))) |
| 1× | batch-egg-rewrite |
| 5 152× | accelerator-lowering-fma.f32 |
| 5 152× | accelerator-lowering-fma.f64 |
| 4 266× | /-lowering-/.f32 |
| 4 266× | /-lowering-/.f64 |
| 3 494× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 182 |
| 1 | 189 | 170 |
| 2 | 1417 | 162 |
| 0 | 8616 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 (+ (/ 1 u1) -1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt (/ 1 (+ (/ 1 u1) -1))) |
(/ 1 (+ (/ 1 u1) -1)) |
(+ (/ 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) |
(+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* u1 (* u1 1/2))) (sqrt u1)) |
(+ (sqrt u1) (sqrt (/ 1 u1))) |
(sqrt u1) |
(sqrt (/ 1 u1)) |
(* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) |
(* (pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) (cos (* 314159265359/50000000000 u2))) |
(pow (* (/ u1 (+ u1 1)) (/ u1 (+ u1 1))) 1/4) |
(/ u1 (+ u1 1)) |
(* 314159265359/50000000000 u2) |
(cos (* 314159265359/50000000000 u2)) |
(* (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* u1 (* u1 1/2))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal 1 binary32) 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 (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)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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))) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #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)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) |
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(/.f32 (-.f32 (*.f32 (*.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 u1))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))))) (*.f32 (*.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 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (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))) (*.f32 (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (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))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (-.f32 (*.f32 (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1))) |
(*.f32 (fma.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/8 binary32)) (*.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))) u1) (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)))))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))))) |
(*.f32 (*.f32 (fma.f32 (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (*.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/8 binary32)) (*.f32 u1 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))) u1) (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)))))) |
(*.f32 (*.f32 (fma.f32 (*.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))) (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (sqrt.f32 u1))))) |
| 1× | egg-herbie |
| 13 044× | accelerator-lowering-fma.f32 |
| 13 044× | accelerator-lowering-fma.f64 |
| 7 714× | *-lowering-*.f32 |
| 7 714× | *-lowering-*.f64 |
| 3 030× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 552 | 4588 |
| 1 | 1770 | 3944 |
| 2 | 6018 | 3760 |
| 0 | 8559 | 3568 |
| 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)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(sqrt (/ 1 (- (/ 1 u1) 1))) |
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))) |
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 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)))))))))) |
(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 (/ 1 (* u1 (sqrt -1))))) |
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (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 u1) |
(/ (+ 1 (* -1 u1)) u1) |
(/ (+ 1 (* -1 u1)) u1) |
(/ (+ 1 (* -1 u1)) u1) |
-1 |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
-1 |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 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)))))))))) |
(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) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3)))))) |
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3)))))) |
(* 1/2 (sqrt (pow u1 5))) |
(* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(* -1/2 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2))) |
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(sqrt (/ 1 u1)) |
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1) |
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1) |
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1) |
(sqrt u1) |
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3))))) |
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3))))) |
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3))))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(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))) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)) |
(pow u1 2) |
(* (pow u1 2) (+ 1 (* -2 u1))) |
(* (pow u1 2) (+ 1 (* u1 (- (* 3 u1) 2)))) |
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 3 (* -4 u1))) 2)))) |
1 |
(- 1 (* 2 (/ 1 u1))) |
(- (+ 1 (/ 3 (pow u1 2))) (* 2 (/ 1 u1))) |
(- (+ 1 (/ 3 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 4 (/ 1 (pow u1 3))))) |
1 |
(- 1 (* 2 (/ 1 u1))) |
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 u1))) u1))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 u1))) u1))) 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)) (sqrt -1)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (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 (/ 1 u1))) (* 1/2 (sqrt u1))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1)))))))) |
1 |
(- 1 (* 1/2 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1))) |
u1 |
(* u1 (+ 1 (* -1 u1))) |
(* u1 (+ 1 (* u1 (- u1 1)))) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))) |
1 |
(- 1 (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) |
1 |
(- 1 (/ 1 u1)) |
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) 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) |
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) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(* 1/2 (* (sqrt (pow u1 5)) (cos (* 314159265359/50000000000 u2)))) |
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))))) |
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))))) |
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))))) |
(* -1/2 (* (sqrt (pow u1 5)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))) |
(+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))))) |
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
| 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))))))) |
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(sqrt u1) |
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u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
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(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
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(sqrt 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) |
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#s(literal -1 binary32) |
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(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
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#s(literal -1 binary32) |
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(- (* -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) |
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#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) u1) |
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(-.f32 #s(literal 1 binary32) u1) |
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(-.f32 #s(literal 1 binary32) u1) |
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(-.f32 #s(literal 1 binary32) u1) |
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(-.f32 #s(literal 1 binary32) u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
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(-.f32 #s(literal 1 binary32) u1) |
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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)))))))) |
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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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(* (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 #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 #s(literal 1/2 binary32) (*.f32 u1 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) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32))) (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)))))) |
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(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))) |
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(* (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)))))))) |
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(* (sqrt (pow u1 3)) (pow (sqrt -1) 2)) |
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(* (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))))) |
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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)))) |
(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))))) |
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(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))) |
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(pow u1 3) |
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(* (pow u1 3) (+ 1 (/ 1 u1))) |
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u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 u1)) |
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(pow u1 2) |
(*.f32 u1 u1) |
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(pow u1 2) |
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(* (pow u1 2) (+ 1 (/ 1 u1))) |
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(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
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(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3)))))) |
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(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3)))))) |
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(* 1/2 (sqrt (pow u1 5))) |
(*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 5 binary32)))) |
(* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
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(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 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1))) |
(-.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 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 5/16 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) u1)) u1)) |
u1 |
(* u1 (+ 1 (* -1 u1))) |
(*.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(* u1 (+ 1 (* u1 (- u1 1)))) |
(*.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))) |
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(- 1 (/ 1 u1)) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) |
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) |
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal -1 binary32) u1))) |
1 |
#s(literal 1 binary32) |
(- 1 (/ 1 u1)) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) |
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) |
(-.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)) |
(* 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 (*.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 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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) (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))) |
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(fma.f32 u1 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(fma.f32 u1 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(* 1/2 (* (sqrt (pow u1 5)) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 5 binary32))))) |
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))))) |
(*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) |
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (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))))))) |
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (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))))))) |
(* -1/2 (* (sqrt (pow u1 5)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 5 binary32))))) |
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))) |
(*.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))) |
(*.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))) |
(+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))) |
(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) |
(+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) |
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))) |
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))))))))) |
(fma.f32 u1 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/10000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) |
(*.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 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))) |
Compiled 32 220 to 3 805 computations (88.2% saved)
53 alts after pruning (50 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 300 | 41 | 1 341 |
| Fresh | 13 | 9 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 316 | 53 | 1 369 |
| Status | Accuracy | Program |
|---|---|---|
| 84.4% | (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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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)))))) | |
| 67.6% | (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) | |
| 92.9% | (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)))) | |
| ▶ | 74.4% | (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (sqrt.f32 u1)) |
| 82.8% | (fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) | |
| 70.5% | (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) | |
| 79.0% | (/.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)))) | |
| 98.7% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) | |
| 78.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 82.5% | (*.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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) | |
| 78.7% | (*.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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 85.5% | (*.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.4% | (*.f32 (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 #s(literal 1/2 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 80.4% | (*.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))) | |
| ▶ | 87.7% | (*.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)))) |
| 87.6% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) | |
| 98.0% | (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) | |
| 98.8% | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 89.6% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 78.6% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) | |
| ▶ | 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))) |
| 66.6% | (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (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))))))) | |
| 89.8% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 82.8% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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))) | |
| 84.5% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) | |
| ✓ | 89.9% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 85.1% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 96.0% | (*.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))) | |
| 98.8% | (*.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.9% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 78.8% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) | |
| 90.9% | (*.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))) |
| ▶ | 99.1% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.7% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (/.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))) | |
| 78.6% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) | |
| 90.8% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 92.8% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) | |
| 89.7% | (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.9% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.6% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 73.2% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 73.3% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) | |
| 70.2% | (sqrt.f32 (fma.f32 u1 u1 u1)) | |
| 78.9% | (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) | |
| ✓ | 79.1% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 60.9% | (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) | |
| 79.1% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 79.1% | (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) | |
| 75.0% | (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) | |
| ▶ | 62.6% | (sqrt.f32 u1) |
| 20.2% | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 2 055 to 1 324 computations (35.6% 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 | (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (sqrt.f32 u1)) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) |
| ✓ | cost-diff | 96 | (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1)) |
| ✓ | cost-diff | 512 | (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) 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 | (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) |
| 16 650× | accelerator-lowering-fma.f32 |
| 16 650× | accelerator-lowering-fma.f64 |
| 5 242× | *-lowering-*.f32 |
| 5 242× | *-lowering-*.f64 |
| 1 870× | neg-lowering-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 253 |
| 1 | 90 | 249 |
| 2 | 250 | 239 |
| 3 | 785 | 219 |
| 4 | 2783 | 219 |
| 5 | 6340 | 219 |
| 0 | 8516 | 212 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt (/ 1 (/ (- 1 u1) u1))) |
(/ 1 (/ (- 1 u1) u1)) |
1 |
(/ (- 1 u1) u1) |
(- 1 u1) |
u1 |
(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) |
(+ (* (* u1 u1) (+ (* (sqrt (/ 1 u1)) (+ 1/2 (* 1/2 u1))) (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1)))) (sqrt u1)) |
(* u1 u1) |
u1 |
(+ (* (sqrt (/ 1 u1)) (+ 1/2 (* 1/2 u1))) (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1))) |
(sqrt (/ 1 u1)) |
(/ 1 u1) |
1 |
(+ 1/2 (* 1/2 u1)) |
1/2 |
(* 1/2 u1) |
(* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1)) |
(* (sqrt u1) 1/2) |
(sqrt u1) |
(* (- 1 (/ 1/4 u1)) u1) |
(- 1 (/ 1/4 u1)) |
(/ 1/4 u1) |
1/4 |
(* (* (/ 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 (/ 1 (/ (- 1 u1) 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 (/ 1 (/ (- 1 u1) u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/ 1 (/ (- 1 u1) u1)) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
1 |
#s(literal 1 binary32) |
(/ (- 1 u1) u1) |
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) |
(- 1 u1) |
(-.f32 #s(literal 1 binary32) 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 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) |
(+ (* (* u1 u1) (+ (* (sqrt (/ 1 u1)) (+ 1/2 (* 1/2 u1))) (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1)))) (sqrt u1)) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 0 binary32)) (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1/8 binary32)) #s(literal 1 binary32)))) |
(* u1 u1) |
(*.f32 u1 u1) |
u1 |
(+ (* (sqrt (/ 1 u1)) (+ 1/2 (* 1/2 u1))) (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1))) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1/8 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 0 binary32))) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(/ 1 u1) |
(/.f32 #s(literal 1 binary32) u1) |
1 |
#s(literal 1 binary32) |
(+ 1/2 (* 1/2 u1)) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(* 1/2 u1) |
(*.f32 u1 #s(literal 1/2 binary32)) |
(* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1)) |
(*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1/8 binary32))) |
(* (sqrt u1) 1/2) |
(fma.f32 (sqrt.f32 u1) #s(literal 1/2 binary32) #s(literal 0 binary32)) |
(sqrt u1) |
(sqrt.f32 u1) |
(* (- 1 (/ 1/4 u1)) u1) |
(+.f32 u1 #s(literal -1/4 binary32)) |
(- 1 (/ 1/4 u1)) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) |
(/ 1/4 u1) |
(/.f32 #s(literal 1/4 binary32) u1) |
1/4 |
#s(literal 1/4 binary32) |
(* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (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 | 99.6% | (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.4% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | 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 | 99.3% | (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1)) |
| ✓ | accuracy | 99.3% | (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1) |
| ✓ | accuracy | 99.3% | (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (sqrt.f32 u1)) |
| ✓ | accuracy | 99.0% | (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) |
| ✓ | accuracy | 99.7% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.6% | (*.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 | 99.5% | (/.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 | 99.6% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.6% | (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) |
| ✓ | accuracy | 99.2% | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 105.0ms | 247× | 0 | valid |
| 10.0ms | 9× | 5 | exit |
Compiled 246 to 42 computations (82.9% saved)
ival-mult: 54.0ms (55.9% of total)ival-div: 12.0ms (12.4% of total)ival-sqrt: 9.0ms (9.3% of total)const: 7.0ms (7.2% of total)ival-add: 5.0ms (5.2% of total)ival-sub: 4.0ms (4.1% of total)ival-cos: 3.0ms (3.1% of total)adjust: 1.0ms (1% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (- 1 u1) u1))> |
#<alt (* (sqrt (/ 1 (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (sqrt (/ 1 (/ (- 1 u1) u1)))> |
#<alt (/ (- 1 u1) u1)> |
#<alt (sqrt u1)> |
#<alt (* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1))))> |
#<alt (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1)> |
#<alt (* u2 -98696044010906577398881/5000000000000000000000)> |
#<alt (sqrt (/ u1 (- 1 u1)))> |
#<alt (* (- 1 (/ 1/4 u1)) u1)> |
#<alt (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1))> |
#<alt (+ 1/2 (* 1/2 u1))> |
#<alt (+ (* (* u1 u1) (+ (* (sqrt (/ 1 u1)) (+ 1/2 (* 1/2 u1))) (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1)))) (sqrt u1))> |
#<alt (* (/ 1 (sqrt (- 1 u1))) (sqrt u1))> |
#<alt (* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2)))> |
#<alt (/ 1 (sqrt (- 1 u1)))> |
#<alt (sqrt (- 1 u1))> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (/ u1 (- 1 u1))> |
#<alt (+ (* (sqrt (/ 1 u1)) (+ 1/2 (* 1/2 u1))) (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1)))> |
| Outputs |
|---|
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)> |
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<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)))))))> |
#<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)))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<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))))> |
#<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)))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<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)))> |
#<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)))> |
#<alt (sqrt (/ u1 (- 1 u1)))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))> |
#<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)))))))))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))> |
#<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))))))))))> |
#<alt (sqrt -1)> |
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))> |
#<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))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))> |
#<alt (/ 1 u1)> |
#<alt (/ (+ 1 (* -1 u1)) u1)> |
#<alt (/ (+ 1 (* -1 u1)) u1)> |
#<alt (/ (+ 1 (* -1 u1)) u1)> |
#<alt -1> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt -1> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ u1 (- 1 u1)))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))> |
#<alt (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))> |
#<alt (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))> |
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (+ (* (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))))))))> |
#<alt (+ (* (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))))))))))> |
#<alt (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))> |
#<alt (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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)))))))> |
#<alt (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))> |
#<alt (+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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)))))> |
#<alt 1> |
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))> |
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))> |
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))> |
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))> |
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))> |
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))> |
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))> |
#<alt (* -98696044010906577398881/5000000000000000000000 (pow u2 2))> |
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))> |
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))> |
#<alt (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))> |
#<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))))))))))> |
#<alt (sqrt -1)> |
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))> |
#<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))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))> |
#<alt -1/4> |
#<alt (- u1 1/4)> |
#<alt (- u1 1/4)> |
#<alt (- u1 1/4)> |
#<alt u1> |
#<alt (* u1 (- 1 (* 1/4 (/ 1 u1))))> |
#<alt (* u1 (- 1 (* 1/4 (/ 1 u1))))> |
#<alt (* u1 (- 1 (* 1/4 (/ 1 u1))))> |
#<alt u1> |
#<alt (* -1 (* u1 (- (* 1/4 (/ 1 u1)) 1)))> |
#<alt (* -1 (* u1 (- (* 1/4 (/ 1 u1)) 1)))> |
#<alt (* -1 (* u1 (- (* 1/4 (/ 1 u1)) 1)))> |
#<alt (* -1/8 (sqrt u1))> |
#<alt (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (* 1/2 (sqrt (pow u1 3)))> |
#<alt (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 u1)))))> |
#<alt (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 u1)))))> |
#<alt (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 u1)))))> |
#<alt (* -1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))> |
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))> |
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))> |
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 u1))> |
#<alt (+ 1/2 (* 1/2 u1))> |
#<alt (+ 1/2 (* 1/2 u1))> |
#<alt (* 1/2 u1)> |
#<alt (* u1 (+ 1/2 (* 1/2 (/ 1 u1))))> |
#<alt (* u1 (+ 1/2 (* 1/2 (/ 1 u1))))> |
#<alt (* u1 (+ 1/2 (* 1/2 (/ 1 u1))))> |
#<alt (* 1/2 u1)> |
#<alt (* u1 (+ 1/2 (* 1/2 (/ 1 u1))))> |
#<alt (* u1 (+ 1/2 (* 1/2 (/ 1 u1))))> |
#<alt (* u1 (+ 1/2 (* 1/2 (/ 1 u1))))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt u1)))))))> |
#<alt (+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3)))))))))> |
#<alt (* 1/2 (sqrt (pow u1 7)))> |
#<alt (* (pow u1 4) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))> |
#<alt (* (pow u1 4) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))> |
#<alt (* (pow u1 4) (+ (sqrt (/ 1 (pow u1 7))) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))))> |
#<alt (* -1/2 (* (sqrt (pow u1 7)) (pow (sqrt -1) 2)))> |
#<alt (* (pow u1 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (* (pow u1 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (* (pow u1 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))> |
#<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))))))))))> |
#<alt (sqrt -1)> |
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))> |
#<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))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))> |
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<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)))))))> |
#<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)))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<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))))> |
#<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)))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<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)))> |
#<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)))> |
#<alt (sqrt (/ u1 (- 1 u1)))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))> |
#<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)))))))))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 u1))> |
#<alt (+ 1 (* u1 (+ 1/2 (* 3/8 u1))))> |
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))> |
#<alt (* (sqrt (/ 1 u1)) (sqrt -1))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))> |
#<alt (+ (* -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))))> |
#<alt (+ (* -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)))))> |
#<alt (* (sqrt (/ 1 u1)) (sqrt -1))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))> |
#<alt (+ (* -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))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 u1))> |
#<alt (+ 1 (* u1 (- (* -1/8 u1) 1/2)))> |
#<alt (+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))> |
#<alt (* (sqrt u1) (sqrt -1))> |
#<alt (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))> |
#<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)))))> |
#<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))))))> |
#<alt (* -1 (* (sqrt u1) (sqrt -1)))> |
#<alt (* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))> |
#<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))))))> |
#<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)))))))> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)> |
#<alt (* 1/2 (sqrt (/ 1 u1)))> |
#<alt (/ (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt u1))))) u1)> |
#<alt (/ (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))) u1)> |
#<alt (/ (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))) u1)> |
#<alt (* 1/2 (sqrt (pow u1 3)))> |
#<alt (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))> |
#<alt (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))> |
#<alt (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))> |
#<alt (* -1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))> |
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | u1 | @ | -inf | (/ 1 (sqrt (- 1 u1))) |
| 1.0ms | u1 | @ | inf | (* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1)))) |
| 1.0ms | u1 | @ | 0 | (* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1)))) |
| 1.0ms | u2 | @ | inf | (* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1)))) |
| 1.0ms | u1 | @ | -inf | (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1)) |
| 1× | batch-egg-rewrite |
| 5 746× | accelerator-lowering-fma.f32 |
| 5 746× | accelerator-lowering-fma.f64 |
| 4 190× | *-lowering-*.f32 |
| 4 190× | *-lowering-*.f64 |
| 4 180× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 171 |
| 1 | 204 | 166 |
| 2 | 1654 | 164 |
| 0 | 8368 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (- 1 u1) u1)) |
(* (sqrt (/ 1 (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt (/ 1 (/ (- 1 u1) u1))) |
(/ (- 1 u1) u1) |
(sqrt u1) |
(* (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (/ u1 (- 1 u1)))) |
(+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) |
(* u2 -98696044010906577398881/5000000000000000000000) |
(sqrt (/ u1 (- 1 u1))) |
(* (- 1 (/ 1/4 u1)) u1) |
(* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1)) |
(+ 1/2 (* 1/2 u1)) |
(+ (* (* u1 u1) (+ (* (sqrt (/ 1 u1)) (+ 1/2 (* 1/2 u1))) (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1)))) (sqrt u1)) |
(* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) |
(* (* (/ 1 (sqrt (- 1 u1))) (sqrt u1)) (cos (* 314159265359/50000000000 u2))) |
(/ 1 (sqrt (- 1 u1))) |
(sqrt (- 1 u1)) |
(* 314159265359/50000000000 u2) |
(/ u1 (- 1 u1)) |
(+ (* (sqrt (/ 1 u1)) (+ 1/2 (* 1/2 u1))) (* (* (sqrt u1) 1/2) (* (- 1 (/ 1/4 u1)) u1))) |
| Outputs |
|---|
(neg.f32 (/.f32 u1 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(exp.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(exp.f32 (fma.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))) |
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32)) |
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(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1) (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 u1 (*.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1) (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))) (/.f32 (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1) (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))) (/.f32 (*.f32 u1 (*.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))) (*.f32 (/.f32 (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1) (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))) (/.f32 (*.f32 u1 (*.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))))))) |
(*.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)))) |
(*.f32 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))) (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (-.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1))) (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1)))) |
(*.f32 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))) (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))) (-.f32 (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1) (*.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1))))))) |
(*.f32 (-.f32 (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1) (*.f32 u1 (*.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))))) (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 u1 (sqrt.f32 u1))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (-.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1))) (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1))))) |
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1) (*.f32 u1 (*.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1)) (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))))))) |
(*.f32 (fma.f32 u1 (*.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))) (neg.f32 (/.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))) u1))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1))))) |
| 1× | egg-herbie |
| 21 140× | accelerator-lowering-fma.f32 |
| 21 140× | accelerator-lowering-fma.f64 |
| 6 280× | *-lowering-*.f32 |
| 6 280× | *-lowering-*.f64 |
| 5 210× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 423 | 4138 |
| 1 | 1317 | 3676 |
| 2 | 4526 | 3369 |
| 0 | 8089 | 3166 |
| 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))) |
(+ (* 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))) |
(/ 1 u1) |
(/ (+ 1 (* -1 u1)) u1) |
(/ (+ 1 (* -1 u1)) u1) |
(/ (+ 1 (* -1 u1)) u1) |
-1 |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
-1 |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
(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))) |
(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))) |
-1/4 |
(- u1 1/4) |
(- u1 1/4) |
(- u1 1/4) |
u1 |
(* u1 (- 1 (* 1/4 (/ 1 u1)))) |
(* u1 (- 1 (* 1/4 (/ 1 u1)))) |
(* u1 (- 1 (* 1/4 (/ 1 u1)))) |
u1 |
(* -1 (* u1 (- (* 1/4 (/ 1 u1)) 1))) |
(* -1 (* u1 (- (* 1/4 (/ 1 u1)) 1))) |
(* -1 (* u1 (- (* 1/4 (/ 1 u1)) 1))) |
(* -1/8 (sqrt u1)) |
(+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (pow u1 3)))) |
(+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (pow u1 3)))) |
(+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (pow u1 3)))) |
(* 1/2 (sqrt (pow u1 3))) |
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 u1))))) |
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 u1))))) |
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 u1))))) |
(* -1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))) |
1/2 |
(+ 1/2 (* 1/2 u1)) |
(+ 1/2 (* 1/2 u1)) |
(+ 1/2 (* 1/2 u1)) |
(* 1/2 u1) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(* 1/2 u1) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt u1))))))) |
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))))) |
(* 1/2 (sqrt (pow u1 7))) |
(* (pow u1 4) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(* (pow u1 4) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))) |
(* (pow u1 4) (+ (sqrt (/ 1 (pow u1 7))) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))) |
(* -1/2 (* (sqrt (pow u1 7)) (pow (sqrt -1) 2))) |
(* (pow u1 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* (pow u1 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* (pow u1 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (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)))) |
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))))))) |
(* 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) |
(* 1/2 (sqrt (/ 1 u1))) |
(/ (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt u1))))) u1) |
(/ (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))) u1) |
(/ (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))) u1) |
(* 1/2 (sqrt (pow u1 3))) |
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))) |
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))) |
(* -1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
| 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)))))) |
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #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 (/.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)) |
(* (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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 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 u1 (*.f32 (*.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))))) (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 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 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.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)))) (+ (* -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 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.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)))))))) |
(+ (* -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 #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)) (*.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)))))))) |
(* (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 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 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))) |
(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 (sqrt.f32 #s(literal -1 binary32)) #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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(* (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)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 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 (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)))) |
(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 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) 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)) |
(/ 1 u1) |
(/.f32 #s(literal 1 binary32) u1) |
(/ (+ 1 (* -1 u1)) u1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
(/ (+ 1 (* -1 u1)) u1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
(/ (+ 1 (* -1 u1)) u1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
-1 |
#s(literal -1 binary32) |
(- (/ 1 u1) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
(- (/ 1 u1) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
(- (/ 1 u1) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
-1 |
#s(literal -1 binary32) |
(- (/ 1 u1) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
(- (/ 1 u1) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
(- (/ 1 u1) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) 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) |
(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 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (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))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (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))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (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 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (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))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (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))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))) |
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1 |
#s(literal 1 binary32) |
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(* -98696044010906577398881/5000000000000000000000 u2) |
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(sqrt u1) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(- (+ (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)))) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
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#s(literal -1/4 binary32) |
(- u1 1/4) |
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(- u1 1/4) |
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u1 |
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u1 |
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(* -1/8 (sqrt u1)) |
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(* -1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) |
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(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/2 u1)) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/2 u1)) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/2 u1)) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(* 1/2 u1) |
(*.f32 u1 #s(literal 1/2 binary32)) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(* 1/2 u1) |
(*.f32 u1 #s(literal 1/2 binary32)) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(* u1 (+ 1/2 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(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) (* u1 (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt u1))))))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(* 1/2 (sqrt (pow u1 7))) |
(*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 7 binary32)))) |
(* (pow u1 4) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3/8 binary32) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(* (pow u1 4) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))) |
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(* (pow u1 4) (+ (sqrt (/ 1 (pow u1 7))) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))) |
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(* -1/2 (* (sqrt (pow u1 7)) (pow (sqrt -1) 2))) |
(*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 7 binary32)))) |
(* (pow u1 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
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(* (pow u1 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -5/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) u1))) |
(* (pow u1 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
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(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)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 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)))) |
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(- (+ (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 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) 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) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
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(*.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))) |
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(fma.f32 u1 (*.f32 (*.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))))) (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 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 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) |
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(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
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(*.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))) |
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(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
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(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
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(+ (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))))))))) |
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(* (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))) |
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(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
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(* (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)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 u1)) |
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) |
(+ 1 (* u1 (+ 1/2 (* 3/8 u1)))) |
(fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(* (sqrt (/ 1 u1)) (sqrt -1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)) (*.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))))) |
(+ (* -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)))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 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))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* -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))))) |
(fma.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 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))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))) |
(* (sqrt (/ 1 u1)) (sqrt -1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))) |
(*.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)))) |
(+ (* -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)))) |
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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)) (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))) (*.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))))))) |
(* 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 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 5 binary32))) (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))) (*.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)))))))) |
(* -1 (* (sqrt u1) (sqrt -1))) |
(*.f32 (sqrt.f32 u1) (-.f32 #s(literal 0 binary32) (sqrt.f32 #s(literal -1 binary32)))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(neg.f32 (*.f32 (*.f32 u1 (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))))) |
(* -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 (neg.f32 u1) (*.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 (neg.f32 u1) (*.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) #s(literal 1/16 binary32)))))) |
(* 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)))))) |
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #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 (/.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)) |
(* 1/2 (sqrt (/ 1 u1))) |
(*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) |
(/ (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt u1))))) u1) |
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) u1) |
(/ (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))) u1) |
(/.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) u1) |
(/ (+ (* 1/2 (sqrt u1)) (* u1 (+ (* -1/8 (sqrt u1)) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))) u1) |
(/.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) u1) |
(* 1/2 (sqrt (pow u1 3))) |
(*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) |
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3/8 binary32) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (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) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3/8 binary32)))) |
(* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (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) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3/8 binary32)))) |
(* -1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) |
(*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(*.f32 (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -5/8 binary32) u1)))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -5/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) u1))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -5/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) u1))) |
Compiled 35 881 to 3 309 computations (90.8% saved)
63 alts after pruning (58 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 392 | 23 | 1 415 |
| Fresh | 10 | 35 | 45 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 405 | 63 | 1 468 |
| Status | Accuracy | Program |
|---|---|---|
| 84.4% | (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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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)))))) | |
| 67.6% | (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) | |
| 92.9% | (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)))) | |
| 71.7% | (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) | |
| 82.8% | (fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) | |
| 74.4% | (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) | |
| ▶ | 73.6% | (fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
| 70.5% | (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) | |
| 87.4% | (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 87.5% | (/.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))) | |
| 98.7% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 79.0% | (/.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)))) | |
| 62.3% | (/.f32 u1 (sqrt.f32 u1)) | |
| ▶ | 87.4% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
| 62.5% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) | |
| 78.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 82.5% | (*.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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) | |
| 87.7% | (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| 87.4% | (*.f32 (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 #s(literal 1/2 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.5% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 80.4% | (*.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))) | |
| 87.5% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) | |
| 87.6% | (*.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))) | |
| 66.4% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) | |
| 98.0% | (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) | |
| 87.2% | (*.f32 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) | |
| 98.4% | (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) | |
| 78.6% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) | |
| 62.3% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) | |
| 87.7% | (*.f32 (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| 85.2% | (*.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))) | |
| 98.0% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 97.9% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 66.6% | (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (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))))))) | |
| 89.8% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 82.8% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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))) | |
| 84.5% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) | |
| ✓ | 89.9% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ▶ | 85.1% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 96.0% | (*.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))) | |
| 87.9% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 78.8% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) | |
| 90.9% | (*.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))) |
| ✓ | 99.1% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 90.8% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 92.8% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) | |
| 89.7% | (*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 98.9% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.3% | (*.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) | |
| 73.2% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 73.3% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) | |
| ▶ | 70.2% | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| 78.9% | (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) | |
| ✓ | 79.1% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 60.9% | (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) | |
| 79.1% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 79.1% | (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) | |
| 75.0% | (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) | |
| ✓ | 62.6% | (sqrt.f32 u1) |
| 20.2% | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 2 224 to 1 450 computations (34.8% 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 | (fma.f32 u1 u1 u1) |
| ✓ | cost-diff | 0 | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 0 | (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
| ✓ | cost-diff | -32 | (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) |
| ✓ | cost-diff | 0 | (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 u1) |
| ✓ | cost-diff | 320 | (fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
| ✓ | cost-diff | 0 | (fma.f32 u1 u1 u1) |
| ✓ | cost-diff | 0 | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) |
| 2 184× | accelerator-lowering-fma.f32 |
| 2 184× | accelerator-lowering-fma.f64 |
| 1 098× | *-lowering-*.f32 |
| 1 098× | *-lowering-*.f64 |
| 440× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 181 |
| 1 | 67 | 175 |
| 2 | 126 | 172 |
| 3 | 291 | 172 |
| 4 | 430 | 172 |
| 5 | 489 | 172 |
| 6 | 544 | 172 |
| 7 | 661 | 172 |
| 8 | 812 | 172 |
| 9 | 843 | 172 |
| 10 | 940 | 172 |
| 11 | 1197 | 172 |
| 12 | 1641 | 172 |
| 13 | 2367 | 172 |
| 14 | 2891 | 172 |
| 15 | 2995 | 172 |
| 16 | 3013 | 172 |
| 17 | 3019 | 172 |
| 18 | 3019 | 172 |
| 19 | 3019 | 172 |
| 20 | 3020 | 172 |
| 0 | 3020 | 160 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (cos (* 314159265359/50000000000 u2))) |
(sqrt (* (/ 1 (- 1 u1)) u1)) |
(* (/ 1 (- 1 u1)) u1) |
(/ 1 (- 1 u1)) |
1 |
(- 1 u1) |
u1 |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
(sqrt (+ (* u1 u1) u1)) |
(+ (* u1 u1) u1) |
u1 |
(+ (* u1 (* (sqrt u1) (+ (* u1 3/8) 1/2))) (sqrt u1)) |
u1 |
(* (sqrt u1) (+ (* u1 3/8) 1/2)) |
(sqrt u1) |
(+ (* u1 3/8) 1/2) |
3/8 |
1/2 |
(/ 1 (/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1))) |
1 |
(/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1)) |
(sqrt (+ (/ 1 u1) -1)) |
(+ (/ 1 u1) -1) |
(/ 1 u1) |
u1 |
-1 |
(+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) |
u2 |
(* u2 -98696044010906577398881/5000000000000000000000) |
-98696044010906577398881/5000000000000000000000 |
(* (sqrt (+ (* u1 u1) u1)) (cos (* 314159265359/50000000000 u2))) |
(sqrt (+ (* u1 u1) u1)) |
(+ (* u1 u1) u1) |
u1 |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
314159265359/50000000000 |
u2 |
| Outputs |
|---|
(* (sqrt (* (/ 1 (- 1 u1)) 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 (- 1 u1)) u1)) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(* (/ 1 (- 1 u1)) u1) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(/ 1 (- 1 u1)) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
1 |
#s(literal 1 binary32) |
(- 1 u1) |
(-.f32 #s(literal 1 binary32) 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 (+ (* u1 u1) u1)) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(+ (* u1 u1) u1) |
(fma.f32 u1 u1 u1) |
u1 |
(+ (* u1 (* (sqrt u1) (+ (* u1 3/8) 1/2))) (sqrt u1)) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal 0 binary32)) |
u1 |
(* (sqrt u1) (+ (* u1 3/8) 1/2)) |
(fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 0 binary32)) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (* u1 3/8) 1/2) |
(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
3/8 |
#s(literal 3/8 binary32) |
1/2 |
#s(literal 1/2 binary32) |
(/ 1 (/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1))) |
(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
1 |
#s(literal 1 binary32) |
(/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1)) |
(/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(sqrt (+ (/ 1 u1) -1)) |
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) |
(+ (/ 1 u1) -1) |
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) |
(/ 1 u1) |
(/.f32 #s(literal 1 binary32) u1) |
u1 |
-1 |
#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) |
(* (sqrt (+ (* u1 u1) u1)) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(sqrt (+ (* u1 u1) u1)) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(+ (* u1 u1) u1) |
(fma.f32 u1 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 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| ✓ | accuracy | 99.7% | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 99.6% | (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) |
| ✓ | accuracy | 99.4% | (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
| ✓ | accuracy | 99.2% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.9% | (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
| ✓ | accuracy | 100.0% | (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
| ✓ | accuracy | 100.0% | (sqrt.f32 u1) |
| ✓ | accuracy | 99.3% | (fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
| ✓ | accuracy | 99.1% | (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) |
| ✓ | accuracy | 100.0% | (fma.f32 u1 u1 u1) |
| ✓ | accuracy | 99.7% | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| ✓ | accuracy | 99.7% | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.6% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.2% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 78.0ms | 256× | 0 | valid |
Compiled 171 to 36 computations (78.9% saved)
ival-add: 18.0ms (28.7% of total)ival-mult: 14.0ms (22.3% of total)const: 11.0ms (17.5% of total)ival-div: 7.0ms (11.2% of total)ival-sqrt: 6.0ms (9.6% of total)ival-cos: 4.0ms (6.4% of total)ival-sub: 1.0ms (1.6% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 (- 1 u1)) u1)> |
#<alt (* (sqrt (* (/ 1 (- 1 u1)) u1)) (cos (* 314159265359/50000000000 u2)))> |
#<alt (sqrt (* (/ 1 (- 1 u1)) u1))> |
#<alt (/ 1 (- 1 u1))> |
#<alt (sqrt (+ (* u1 u1) u1))> |
#<alt (+ (* u1 u1) u1)> |
#<alt (+ (* u1 (* (sqrt u1) (+ (* u1 3/8) 1/2))) (sqrt u1))> |
#<alt (sqrt u1)> |
#<alt (+ (* u1 3/8) 1/2)> |
#<alt (* (sqrt u1) (+ (* u1 3/8) 1/2))> |
#<alt (/ 1 (/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1)))> |
#<alt (/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1))> |
#<alt (sqrt (+ (/ 1 u1) -1))> |
#<alt (+ (/ 1 u1) -1)> |
#<alt (* (sqrt (+ (* u1 u1) u1)) (cos (* 314159265359/50000000000 u2)))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* u2 -98696044010906577398881/5000000000000000000000)> |
| Outputs |
|---|
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 u1)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)> |
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<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)))))))> |
#<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)))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<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))))> |
#<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)))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<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)))> |
#<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)))> |
#<alt (sqrt (/ u1 (- 1 u1)))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))> |
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))> |
#<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)))))))))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))> |
#<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))))))))))> |
#<alt (sqrt -1)> |
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))> |
#<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))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))> |
#<alt 1> |
#<alt (+ 1 u1)> |
#<alt (+ 1 (* u1 (+ 1 u1)))> |
#<alt (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))> |
#<alt (/ -1 u1)> |
#<alt (* -1 (/ (+ 1 (/ 1 u1)) u1))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)> |
#<alt (/ -1 u1)> |
#<alt (* -1 (/ (+ 1 (/ 1 u1)) u1))> |
#<alt (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))> |
#<alt (+ (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))))))))> |
#<alt u1> |
#<alt (* u1 (+ 1 (* 1/2 (/ 1 u1))))> |
#<alt (* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))> |
#<alt (* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2))))> |
#<alt (* -1 u1)> |
#<alt (* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1)))))> |
#<alt (* -1 (* u1 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 u1)) 1/2) u1)))))> |
#<alt (* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 u1)) 1/8) u1)) 1/2) u1)))))> |
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 u1))> |
#<alt (pow u1 2)> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (pow u1 2)> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* u1 (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1)))))> |
#<alt (+ (sqrt u1) (* u1 (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1)))))> |
#<alt (* 3/8 (sqrt (pow u1 5)))> |
#<alt (* (pow u1 3) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))> |
#<alt (* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))> |
#<alt (* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))> |
#<alt (* -3/8 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (pow u1 3) (+ (* 3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (sqrt u1)> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 3/8 u1))> |
#<alt (+ 1/2 (* 3/8 u1))> |
#<alt (+ 1/2 (* 3/8 u1))> |
#<alt (* 3/8 u1)> |
#<alt (* u1 (+ 3/8 (* 1/2 (/ 1 u1))))> |
#<alt (* u1 (+ 3/8 (* 1/2 (/ 1 u1))))> |
#<alt (* u1 (+ 3/8 (* 1/2 (/ 1 u1))))> |
#<alt (* 3/8 u1)> |
#<alt (* u1 (+ 3/8 (* 1/2 (/ 1 u1))))> |
#<alt (* u1 (+ 3/8 (* 1/2 (/ 1 u1))))> |
#<alt (* u1 (+ 3/8 (* 1/2 (/ 1 u1))))> |
#<alt (* 1/2 (sqrt u1))> |
#<alt (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1)))> |
#<alt (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1)))> |
#<alt (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1)))> |
#<alt (* 3/8 (sqrt (pow u1 3)))> |
#<alt (* (pow u1 2) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))> |
#<alt (* (pow u1 2) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))> |
#<alt (* (pow u1 2) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))> |
#<alt (* -3/8 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))> |
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))> |
#<alt (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (+ (* (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))))))))> |
#<alt (+ (* (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))))))))))> |
#<alt (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))> |
#<alt (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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)))))))> |
#<alt (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))> |
#<alt (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1)))) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 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))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (sqrt (/ 1 (- (/ 1 u1) 1)))> |
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1))))))> |
#<alt (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)> |
#<alt (/ (+ (* (sqrt u1) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* -1/8 (* (sqrt u1) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))) u1)> |
#<alt (/ (+ (* (sqrt u1) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))))) u1)> |
#<alt (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))> |
#<alt (+ (* 1/2 (/ 1 (* u1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (- (+ (/ 1/2 (* u1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (/ 1/8 (* (pow u1 2) (* (pow (sqrt -1) 3) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))> |
#<alt (- (+ (/ 1/2 (* u1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (pow (sqrt -1) 5) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* 1/8 (/ 1 (* (pow u1 2) (* (pow (sqrt -1) 3) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))> |
#<alt (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))> |
#<alt (+ (* 1/2 (/ 1 (* u1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (+ (* -1 (/ (- (* 1/8 (/ 1 (* u1 (* (pow (sqrt -1) 3) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (* 1/2 (/ 1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) u1)) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (* (pow (sqrt -1) 5) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) u1)) (* 1/2 (/ 1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) u1)) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))> |
#<alt (sqrt (- (/ 1 u1) 1))> |
#<alt (+ (sqrt (- (/ 1 u1) 1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (- (/ 1 u1) 1)))))> |
#<alt (+ (sqrt (- (/ 1 u1) 1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (- (/ 1 u1) 1))) (* 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ 1 u1) 1)))))))> |
#<alt (+ (sqrt (- (/ 1 u1) 1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (sqrt (- (/ 1 u1) 1))) (* 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ 1 u1) 1)))))))))> |
#<alt (* -5000000000000000000000/98696044010906577398881 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1))))> |
#<alt (/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1))))) (pow u2 2))> |
#<alt (/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (+ (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) (* -125000000000000000000000000000000000000000000000000000000000000000/961389193575684075633145058384385882649239799132134631991269883031841 (* (/ 1 (pow u2 4)) (sqrt (- (/ 1 u1) 1)))))) (pow u2 2))> |
#<alt (/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (+ (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) (+ (* -125000000000000000000000000000000000000000000000000000000000000000/961389193575684075633145058384385882649239799132134631991269883031841 (* (/ 1 (pow u2 4)) (sqrt (- (/ 1 u1) 1)))) (* -625000000000000000000000000000000000000000000000000000000000000000000000000000000000000/94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921 (* (/ 1 (pow u2 6)) (sqrt (- (/ 1 u1) 1))))))) (pow u2 2))> |
#<alt (* -5000000000000000000000/98696044010906577398881 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1))))> |
#<alt (/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1))))) (pow u2 2))> |
#<alt (/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (+ (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) (* -125000000000000000000000000000000000000000000000000000000000000000/961389193575684075633145058384385882649239799132134631991269883031841 (* (/ 1 (pow u2 4)) (sqrt (- (/ 1 u1) 1)))))) (pow u2 2))> |
#<alt (/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (+ (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) (+ (* -125000000000000000000000000000000000000000000000000000000000000000/961389193575684075633145058384385882649239799132134631991269883031841 (* (/ 1 (pow u2 4)) (sqrt (- (/ 1 u1) 1)))) (* -625000000000000000000000000000000000000000000000000000000000000000000000000000000000000/94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921 (* (/ 1 (pow u2 6)) (sqrt (- (/ 1 u1) 1))))))) (pow u2 2))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)> |
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)> |
#<alt (/ (+ (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)> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))> |
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))> |
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))> |
#<alt (/ 1 u1)> |
#<alt (/ (+ 1 (* -1 u1)) u1)> |
#<alt (/ (+ 1 (* -1 u1)) u1)> |
#<alt (/ (+ 1 (* -1 u1)) u1)> |
#<alt -1> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt -1> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt (- (/ 1 u1) 1)> |
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))> |
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))> |
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* 1/16 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))> |
#<alt (* u1 (cos (* 314159265359/50000000000 u2)))> |
#<alt (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))> |
#<alt (* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))> |
#<alt (* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 1/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))))> |
#<alt (* -1 (* u1 (cos (* 314159265359/50000000000 u2))))> |
#<alt (* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))> |
#<alt (* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))))> |
#<alt (* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (cos (* 314159265359/50000000000 u2))) (* 1/16 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))))> |
#<alt (sqrt (+ u1 (pow u1 2)))> |
#<alt (+ (sqrt (+ u1 (pow u1 2))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (pow u1 2))))))> |
#<alt (+ (sqrt (+ u1 (pow u1 2))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (pow u1 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (pow u1 2))))))))> |
#<alt (+ (sqrt (+ u1 (pow u1 2))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (pow u1 2)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (pow u1 2)))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2))))> |
#<alt 1> |
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))> |
#<alt (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))> |
#<alt (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (cos (* 314159265359/50000000000 u2))> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* 314159265359/50000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
#<alt (* -98696044010906577398881/5000000000000000000000 u2)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | u2 | @ | inf | (* (sqrt (* (/ 1 (- 1 u1)) u1)) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u1 | @ | 0 | (/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1)) |
| 1.0ms | u1 | @ | inf | (/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1)) |
| 1.0ms | u2 | @ | inf | (/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1)) |
| 1.0ms | u1 | @ | -inf | (/ 1 (/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1))) |
| 1× | batch-egg-rewrite |
| 5 922× | accelerator-lowering-fma.f32 |
| 5 922× | accelerator-lowering-fma.f64 |
| 4 622× | *-lowering-*.f32 |
| 4 622× | *-lowering-*.f64 |
| 4 184× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 134 |
| 1 | 169 | 125 |
| 2 | 1224 | 125 |
| 0 | 8428 | 110 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (- 1 u1)) u1) |
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (cos (* 314159265359/50000000000 u2))) |
(sqrt (* (/ 1 (- 1 u1)) u1)) |
(/ 1 (- 1 u1)) |
(sqrt (+ (* u1 u1) u1)) |
(+ (* u1 u1) u1) |
(+ (* u1 (* (sqrt u1) (+ (* u1 3/8) 1/2))) (sqrt u1)) |
(sqrt u1) |
(+ (* u1 3/8) 1/2) |
(* (sqrt u1) (+ (* u1 3/8) 1/2)) |
(/ 1 (/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1))) |
(/ (sqrt (+ (/ 1 u1) -1)) (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1)) |
(sqrt (+ (/ 1 u1) -1)) |
(+ (/ 1 u1) -1) |
(* (sqrt (+ (* u1 u1) u1)) (cos (* 314159265359/50000000000 u2))) |
(cos (* 314159265359/50000000000 u2)) |
(* 314159265359/50000000000 u2) |
(* u2 -98696044010906577398881/5000000000000000000000) |
| Outputs |
|---|
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (+.f32 #s(literal -1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) |
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) u1) (*.f32 u1 #s(literal -1 binary32)))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1)) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) u1))) |
(/.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal -1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(/.f32 (neg.f32 u1) (+.f32 #s(literal -1 binary32) u1)) |
(/.f32 (neg.f32 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) |
(/.f32 (neg.f32 u1) (*.f32 (+.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))) |
(/.f32 (*.f32 u1 #s(literal -1 binary32)) (+.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 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) u1)) |
(/.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (neg.f32 (fma.f32 u1 u1 u1)))))) |
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) |
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(/.f32 (*.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 u1 #s(literal -1 binary32))) (-.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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) |
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
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(*.f32 (*.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) u1))) |
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(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) |
(*.f32 (-.f32 #s(literal 0 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)))) |
(*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32))) |
(expm1.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) |
(*.f32 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
| 1× | egg-herbie |
| 10 480× | accelerator-lowering-fma.f32 |
| 10 480× | accelerator-lowering-fma.f64 |
| 6 870× | *-lowering-*.f32 |
| 6 870× | *-lowering-*.f64 |
| 3 050× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 580 | 4018 |
| 1 | 1792 | 3525 |
| 2 | 6077 | 3346 |
| 0 | 8298 | 3143 |
| 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))) |
(+ (* 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))) |
1 |
(+ 1 u1) |
(+ 1 (* u1 (+ 1 u1))) |
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))) |
(/ -1 u1) |
(* -1 (/ (+ 1 (/ 1 u1)) u1)) |
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1) |
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1) |
(/ -1 u1) |
(* -1 (/ (+ 1 (/ 1 u1)) u1)) |
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1)) |
(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))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* u1 (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))))) |
(+ (sqrt u1) (* u1 (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))))) |
(* 3/8 (sqrt (pow u1 5))) |
(* (pow u1 3) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(* -3/8 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2))) |
(* -1 (* (pow u1 3) (+ (* 3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(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))) |
1/2 |
(+ 1/2 (* 3/8 u1)) |
(+ 1/2 (* 3/8 u1)) |
(+ 1/2 (* 3/8 u1)) |
(* 3/8 u1) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(* 3/8 u1) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(* 1/2 (sqrt u1)) |
(+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))) |
(+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))) |
(+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))) |
(* 3/8 (sqrt (pow u1 3))) |
(* (pow u1 2) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* (pow u1 2) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* (pow u1 2) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* -3/8 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 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 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1)))) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 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))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(sqrt (/ 1 (- (/ 1 u1) 1))) |
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- (/ 1 u1) 1)))))) |
(* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1) |
(/ (+ (* (sqrt u1) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* -1/8 (* (sqrt u1) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))) u1) |
(/ (+ (* (sqrt u1) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))))) u1) |
(/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) |
(+ (* 1/2 (/ 1 (* u1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(- (+ (/ 1/2 (* u1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (/ 1/8 (* (pow u1 2) (* (pow (sqrt -1) 3) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) |
(- (+ (/ 1/2 (* u1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (pow (sqrt -1) 5) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) (* 1/8 (/ 1 (* (pow u1 2) (* (pow (sqrt -1) 3) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))) |
(/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) |
(+ (* 1/2 (/ 1 (* u1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(+ (* -1 (/ (- (* 1/8 (/ 1 (* u1 (* (pow (sqrt -1) 3) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (* 1/2 (/ 1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) u1)) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (* (pow (sqrt -1) 5) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) u1)) (* 1/2 (/ 1 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))) u1)) (/ (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) |
(sqrt (- (/ 1 u1) 1)) |
(+ (sqrt (- (/ 1 u1) 1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (- (/ 1 u1) 1))))) |
(+ (sqrt (- (/ 1 u1) 1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (- (/ 1 u1) 1))) (* 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ 1 u1) 1))))))) |
(+ (sqrt (- (/ 1 u1) 1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (sqrt (- (/ 1 u1) 1))) (* 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ 1 u1) 1))))))))) |
(* -5000000000000000000000/98696044010906577398881 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) |
(/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1))))) (pow u2 2)) |
(/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (+ (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) (* -125000000000000000000000000000000000000000000000000000000000000000/961389193575684075633145058384385882649239799132134631991269883031841 (* (/ 1 (pow u2 4)) (sqrt (- (/ 1 u1) 1)))))) (pow u2 2)) |
(/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (+ (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) (+ (* -125000000000000000000000000000000000000000000000000000000000000000/961389193575684075633145058384385882649239799132134631991269883031841 (* (/ 1 (pow u2 4)) (sqrt (- (/ 1 u1) 1)))) (* -625000000000000000000000000000000000000000000000000000000000000000000000000000000000000/94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921 (* (/ 1 (pow u2 6)) (sqrt (- (/ 1 u1) 1))))))) (pow u2 2)) |
(* -5000000000000000000000/98696044010906577398881 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) |
(/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1))))) (pow u2 2)) |
(/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (+ (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) (* -125000000000000000000000000000000000000000000000000000000000000000/961389193575684075633145058384385882649239799132134631991269883031841 (* (/ 1 (pow u2 4)) (sqrt (- (/ 1 u1) 1)))))) (pow u2 2)) |
(/ (+ (* -5000000000000000000000/98696044010906577398881 (sqrt (- (/ 1 u1) 1))) (+ (* -25000000000000000000000000000000000000000000/9740909103402808085817682884085781839780052161 (* (/ 1 (pow u2 2)) (sqrt (- (/ 1 u1) 1)))) (+ (* -125000000000000000000000000000000000000000000000000000000000000000/961389193575684075633145058384385882649239799132134631991269883031841 (* (/ 1 (pow u2 4)) (sqrt (- (/ 1 u1) 1)))) (* -625000000000000000000000000000000000000000000000000000000000000000000000000000000000000/94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921 (* (/ 1 (pow u2 6)) (sqrt (- (/ 1 u1) 1))))))) (pow u2 2)) |
(sqrt (/ 1 u1)) |
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1) |
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) 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) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3)))) |
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1))) |
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1))) |
(/ 1 u1) |
(/ (+ 1 (* -1 u1)) u1) |
(/ (+ 1 (* -1 u1)) u1) |
(/ (+ 1 (* -1 u1)) u1) |
-1 |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
-1 |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
(- (/ 1 u1) 1) |
(* (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) (+ (* -1/8 (* (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)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* 1/16 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(* u1 (cos (* 314159265359/50000000000 u2))) |
(* u1 (+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))) |
(* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))) |
(* u1 (+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (+ (* 1/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))) |
(* -1 (* u1 (cos (* 314159265359/50000000000 u2)))) |
(* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))) |
(* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1))))) |
(* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (cos (* 314159265359/50000000000 u2))) (* 1/16 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1))))) |
(sqrt (+ u1 (pow u1 2))) |
(+ (sqrt (+ u1 (pow u1 2))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (pow u1 2)))))) |
(+ (sqrt (+ u1 (pow u1 2))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (pow u1 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (pow u1 2)))))))) |
(+ (sqrt (+ u1 (pow u1 2))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (pow u1 2)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (pow u1 2))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 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)) |
(* 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) |
(* -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) |
| 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)))))) |
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #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 (/.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)) |
(* (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 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #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 (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 u1 (*.f32 u1 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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))) |
(*.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)))) |
(fma.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))))) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -3/8 binary32)) (*.f32 (*.f32 u1 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 (/.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 (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 (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 (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 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/16 binary32)) u1))) (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)))) |
(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))))))))) |
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(* (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))) |
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(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
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(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
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(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
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(sqrt u1) |
(sqrt.f32 u1) |
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(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 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) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
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(- (+ (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)))) |
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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))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
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(+ (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 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/16 binary32)) u1)) (neg.f32 u1))) u1)) |
1 |
#s(literal 1 binary32) |
(+ 1 u1) |
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(+ 1 (* u1 (+ 1 u1))) |
(fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))) |
(fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(/ -1 u1) |
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(* -1 (/ (+ 1 (/ 1 u1)) u1)) |
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) |
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1) |
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1) |
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1) |
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(/ -1 u1) |
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(* -1 (/ (+ 1 (/ 1 u1)) u1)) |
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(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1)) |
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(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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 #s(literal -1/8 binary32) (*.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)))) |
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(* 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 #s(literal 1 binary32) (+.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)))) |
(* -1 u1) |
(neg.f32 u1) |
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1))))) |
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) |
(* -1 (* u1 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 u1)) 1/2) u1))))) |
(fma.f32 u1 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) u1)) u1) (neg.f32 u1)) |
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 u1)) 1/8) u1)) 1/2) u1))))) |
(fma.f32 u1 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) u1)) u1) (neg.f32 u1)) |
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) |
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(fma.f32 u1 u1 u1) |
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(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(pow u1 2) |
(*.f32 u1 u1) |
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(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
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(+ (sqrt u1) (* u1 (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))))) |
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(+ (sqrt u1) (* u1 (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))))) |
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(* 3/8 (sqrt (pow u1 5))) |
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(* (pow u1 3) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
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(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))))) |
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))))) |
(* -3/8 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2))) |
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(* -1 (* (pow u1 3) (+ (* 3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -3/8 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1)))) |
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -3/8 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.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) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 3/8 u1)) |
(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* 3/8 u1)) |
(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* 3/8 u1)) |
(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
(* 3/8 u1) |
(*.f32 u1 #s(literal 3/8 binary32)) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
(* 3/8 u1) |
(*.f32 u1 #s(literal 3/8 binary32)) |
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(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
(* u1 (+ 3/8 (* 1/2 (/ 1 u1)))) |
(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
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(fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) |
(* 1/2 (sqrt u1)) |
(*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) |
(+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3/8 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) |
(+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3/8 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) |
(+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3/8 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) |
(* 3/8 (sqrt (pow u1 3))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3/8 binary32)) |
(* (pow u1 2) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)))) |
(* (pow u1 2) (+ (* 3/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)))) |
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(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)))) |
(* -3/8 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3/8 binary32)) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
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(*.f32 (neg.f32 u1) (-.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32))) u1))) |
(* -1 (* u1 (+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (cos (* 314159265359/50000000000 u2))) (* 1/16 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1))))) |
(neg.f32 (*.f32 u1 (-.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1/8 binary32))) (neg.f32 u1))) u1)))) |
(sqrt (+ u1 (pow u1 2))) |
(sqrt.f32 (fma.f32 u1 u1 u1)) |
(+ (sqrt (+ u1 (pow u1 2))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (pow u1 2)))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(+ (sqrt (+ u1 (pow u1 2))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (pow u1 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (pow u1 2)))))))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(+ (sqrt (+ u1 (pow u1 2))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (pow u1 2)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ 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 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (pow u1 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 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 u2 (*.f32 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 (*.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)) |
(* 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) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
Compiled 23 715 to 2 655 computations (88.8% saved)
77 alts after pruning (68 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 021 | 19 | 1 040 |
| Fresh | 4 | 49 | 53 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 026 | 77 | 1 103 |
| Status | Accuracy | Program |
|---|---|---|
| 84.4% | (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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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)))))) | |
| 80.2% | (fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) | |
| 67.6% | (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) | |
| 92.9% | (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)))) | |
| 71.7% | (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) | |
| 82.8% | (fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) | |
| 74.4% | (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) | |
| ✓ | 73.6% | (fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
| 70.5% | (fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) | |
| 87.4% | (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 87.5% | (/.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))) | |
| 98.7% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 79.0% | (/.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)))) | |
| 62.3% | (/.f32 u1 (sqrt.f32 u1)) | |
| 77.8% | (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) | |
| 62.5% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) | |
| 85.7% | (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) | |
| 78.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 20.4% | (+.f32 u1 #s(literal 1/2 binary32)) | |
| 4.1% | (+.f32 #s(literal -1/2 binary32) (neg.f32 u1)) | |
| 82.5% | (*.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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) | |
| 87.7% | (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| 87.4% | (*.f32 (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 #s(literal 1/2 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.5% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 80.4% | (*.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))) | |
| 87.5% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) | |
| 87.6% | (*.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))) | |
| 66.4% | (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) | |
| 98.0% | (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) | |
| 87.2% | (*.f32 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) | |
| 98.4% | (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) | |
| 78.6% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) | |
| 62.3% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) | |
| 87.7% | (*.f32 (+.f32 (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| 21.3% | (*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 85.2% | (*.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))) | |
| 98.0% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 97.9% | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 66.6% | (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (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))))))) | |
| 89.8% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 82.8% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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))) | |
| 84.5% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) | |
| ✓ | 89.9% | (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 80.2% | (*.f32 (sqrt.f32 (fma.f32 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))) | |
| 78.8% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) | |
| 78.8% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) | |
| ✓ | 85.1% | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 96.0% | (*.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))) | |
| 87.9% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 78.8% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) | |
| 90.9% | (*.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))) |
| ✓ | 99.1% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 90.8% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) | |
| 92.8% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) | |
| 70.1% | (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) | |
| 92.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) | |
| 90.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) | |
| ✓ | 98.9% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 85.0% | (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.3% | (*.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) | |
| 73.2% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 73.3% | (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) | |
| ✓ | 70.2% | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| ✓ | 79.1% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 60.9% | (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) | |
| 79.1% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 70.2% | (sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) | |
| 79.1% | (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) | |
| 70.2% | (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)) | |
| 70.1% | (sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) | |
| 75.0% | (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) | |
| ✓ | 62.6% | (sqrt.f32 u1) |
| 4.4% | (neg.f32 u1) | |
| 19.3% | u1 |
Compiled 3 192 to 1 250 computations (60.8% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (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)))) |
(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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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 (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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) 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 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) 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) #s(literal -1 binary32)))) |
(*.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 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (*.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 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 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))) (sqrt.f32 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) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.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))) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 #s(literal 1/2 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))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #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 (+.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 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 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 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.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)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (/.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 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (pow.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (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 (*.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)))) |
(*.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 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(*.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1/2 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))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
8 calls:
| 69.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 65.0ms | cosTheta_i |
| 57.0ms | u2 |
| 45.0ms | u1 |
| 37.0ms | (*.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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (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)))) |
(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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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 (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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) 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 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) 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) #s(literal -1 binary32)))) |
(*.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 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (*.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 (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))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
8 calls:
| 50.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 46.0ms | cosTheta_i |
| 45.0ms | u2 |
| 42.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 38.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (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)))) |
(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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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 (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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) 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 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) 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 (*.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
7 calls:
| 50.0ms | u1 |
| 43.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 33.0ms | u2 |
| 31.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 29.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | cosTheta_i |
| 97.7% | 2 | u1 |
| 98.2% | 2 | u2 |
| 97.7% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 97.7% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 97.3% | 2 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 98.2% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 42 to 33 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (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)))) |
(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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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 (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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) 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))) |
2 calls:
| 22.0ms | u2 |
| 20.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | u2 |
| 98.2% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 10 to 8 computations (20% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (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)))) |
(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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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 (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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) 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))) |
2 calls:
| 21.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 20.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | u2 |
| 97.7% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 10 to 8 computations (20% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (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)))) |
(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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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 (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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) 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 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
5 calls:
| 30.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 25.0ms | u1 |
| 20.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 20.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 20.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 2 | u1 |
| 96.4% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 96.4% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 97.7% | 2 | u2 |
| 97.7% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 31 to 24 computations (22.6% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (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)))) |
(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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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 (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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (fma.f32 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 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
2 calls:
| 28.0ms | u2 |
| 20.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | u2 |
| 97.7% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 10 to 8 computations (20% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (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)))) |
(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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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 (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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (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 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
3 calls:
| 19.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 19.0ms | u2 |
| 18.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 96.6% | 2 | u2 |
| 96.6% | 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (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)))) |
(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 u2 u2) (*.f32 (*.f32 u2 u2) (*.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 (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)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (+.f32 u1 #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 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)))) |
5 calls:
| 19.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 19.0ms | u1 |
| 19.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 19.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 19.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | u1 |
| 92.9% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 92.9% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 92.9% | 1 | u2 |
| 92.9% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 31 to 24 computations (22.6% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (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)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) u1)) (sqrt.f32 u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) u1)) |
(fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1))) (sqrt.f32 u1)) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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))) |
5 calls:
| 58.0ms | cosTheta_i |
| 52.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 43.0ms | u1 |
| 27.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 16.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 1 | cosTheta_i |
| 92.8% | 1 | u2 |
| 92.8% | 1 | u1 |
| 92.8% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 92.8% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
Compiled 29 to 22 computations (24.1% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
(fma.f32 u1 (fma.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
(fma.f32 u2 (*.f32 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)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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))) |
5 calls:
| 60.0ms | u1 |
| 56.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 55.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 16.0ms | cosTheta_i |
| 15.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | cosTheta_i |
| 92.7% | 1 | u1 |
| 92.7% | 1 | u2 |
| 92.7% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 92.7% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
Compiled 29 to 22 computations (24.1% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (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 (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)))) |
5 calls:
| 53.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 50.0ms | u2 |
| 15.0ms | cosTheta_i |
| 14.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 14.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 1 | u1 |
| 90.9% | 1 | u2 |
| 90.9% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 90.9% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 90.9% | 1 | cosTheta_i |
Compiled 29 to 22 computations (24.1% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u2 (*.f32 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 (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 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
5 calls:
| 26.0ms | cosTheta_i |
| 15.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 14.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 14.0ms | u1 |
| 13.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 1 | u2 |
| 90.7% | 1 | cosTheta_i |
| 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)) |
Compiled 29 to 22 computations (24.1% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 u1 u1 u1)) (+.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
5 calls:
| 20.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 18.0ms | u1 |
| 13.0ms | cosTheta_i |
| 13.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 13.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 1 | u2 |
| 90.8% | 2 | u1 |
| 90.8% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 90.8% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 87.7% | 1 | cosTheta_i |
Compiled 29 to 22 computations (24.1% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (+.f32 (*.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 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 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 (*.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 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) 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 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.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)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) |
| Outputs |
|---|
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
4 calls:
| 21.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 17.0ms | u1 |
| 13.0ms | cosTheta_i |
| 13.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 1 | cosTheta_i |
| 87.7% | 1 | u1 |
| 87.7% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 87.7% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
Compiled 25 to 19 computations (24% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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)))) |
| 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)))) |
5 calls:
| 31.0ms | cosTheta_i |
| 9.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 9.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 8.0ms | u2 |
| 8.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 1 | u2 |
| 87.7% | 1 | cosTheta_i |
| 87.7% | 1 | u1 |
| 87.7% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 87.7% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
Compiled 29 to 22 computations (24.1% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(*.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 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 u1 (-.f32 #s(literal 1 binary32) u1))) |
5 calls:
| 29.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 14.0ms | u2 |
| 8.0ms | cosTheta_i |
| 8.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 8.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 2 | u2 |
| 80.4% | 1 | cosTheta_i |
| 85.8% | 2 | u1 |
| 85.8% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 85.8% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
Compiled 29 to 22 computations (24.1% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
| 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 u1 (-.f32 #s(literal 1 binary32) u1))) |
4 calls:
| 15.0ms | u1 |
| 8.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 8.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 8.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 2 | u2 |
| 84.9% | 2 | u1 |
| 84.9% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 84.9% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
Compiled 25 to 19 computations (24% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
| Outputs |
|---|
(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 u1)) |
5 calls:
| 13.0ms | u1 |
| 6.0ms | cosTheta_i |
| 6.0ms | u2 |
| 6.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 6.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 1 | cosTheta_i |
| 82.3% | 2 | u2 |
| 79.1% | 1 | u1 |
| 79.1% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 79.1% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
Compiled 29 to 22 computations (24.1% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) u1) |
| Outputs |
|---|
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
2 calls:
| 26.0ms | cosTheta_i |
| 5.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 1 | cosTheta_i |
| 79.1% | 1 | u2 |
Compiled 8 to 6 computations (25% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 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)) |
3 calls:
| 4.0ms | cosTheta_i |
| 4.0ms | u1 |
| 4.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 1 | u2 |
| 73.3% | 1 | u1 |
| 73.3% | 1 | cosTheta_i |
Compiled 12 to 9 computations (25% 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 #s(literal 1 binary32) u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(/.f32 u1 (sqrt.f32 u1)) |
| Outputs |
|---|
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
3 calls:
| 38.0ms | u1 |
| 4.0ms | cosTheta_i |
| 4.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 1 | cosTheta_i |
| 70.2% | 1 | u1 |
| 70.2% | 1 | u2 |
Compiled 12 to 9 computations (25% 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 #s(literal 1 binary32) u1) u1)) |
| Outputs |
|---|
(sqrt.f32 (fma.f32 u1 u1 u1)) |
3 calls:
| 3.0ms | cosTheta_i |
| 3.0ms | u1 |
| 3.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 1 | cosTheta_i |
| 70.2% | 1 | u1 |
| 70.2% | 1 | u2 |
Compiled 12 to 9 computations (25% 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) |
3 calls:
| 18.0ms | u1 |
| 2.0ms | cosTheta_i |
| 2.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 1 | u1 |
| 62.6% | 1 | cosTheta_i |
| 62.6% | 1 | u2 |
Compiled 12 to 9 computations (25% 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)) |
3 calls:
| 2.0ms | u2 |
| 2.0ms | u1 |
| 2.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.4% | 1 | u1 |
| 20.4% | 1 | cosTheta_i |
| 20.4% | 1 | u2 |
Compiled 12 to 9 computations (25% saved)
Total -5.0b remaining (-19.4%)
Threshold costs -5b (-19.4%)
| Inputs |
|---|
u1 |
(neg.f32 u1) |
| Outputs |
|---|
u1 |
3 calls:
| 2.0ms | u2 |
| 1.0ms | cosTheta_i |
| 1.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.3% | 1 | u1 |
| 19.3% | 1 | u2 |
| 19.3% | 1 | cosTheta_i |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7972500920295715 | 0.9068351984024048 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7972500920295715 | 0.9068351984024048 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7972500920295715 | 0.9068351984024048 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7972500920295715 | 0.9068351984024048 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7972500920295715 | 0.9068351984024048 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1945164203643799 | 1.232761263847351 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.000986216589808464 | 0.0011476909276098013 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00970407109707594 | 0.01076375599950552 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0011675867717713118 | 0.0012910600053146482 |
Compiled 17 to 17 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0011419638758525252 | 0.0013331070076674223 |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
| 62× | *-commutative_binary32 |
| 12× | +-commutative_binary32 |
| 4× | sub-neg_binary32 |
| 2× | neg-sub0_binary32 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 617 |
| 1 | 141 | 617 |
| 2 | 144 | 617 |
| 3 | 146 | 617 |
| 4 | 147 | 617 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) 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))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 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 (*.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #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 13421773/16777216 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 (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 13421773/16777216 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 13421773/16777216 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 (*.f32 (+.f32 u1 #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 13421773/16777216 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 5033165/4194304 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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 8589935/8589934592 binary32)) (*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (fma.f32 (*.f32 u2 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 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 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5153961/4294967296 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 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(if (<=.f32 u2 #s(literal 5153961/4294967296 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 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) 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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 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 (*.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #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 13421773/16777216 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 (*.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 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 (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 13421773/16777216 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 (fma.f32 u1 u1 u1) u1)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 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 13421773/16777216 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 13421773/16777216 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 (*.f32 (+.f32 u1 #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 13421773/16777216 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 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 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 13421773/16777216 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 5033165/4194304 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 5033165/4194304 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 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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) (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) u1)) u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 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 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) |
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 8589935/8589934592 binary32)) (*.f32 (sqrt.f32 (fma.f32 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 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 8589935/8589934592 binary32)) (*.f32 (sqrt.f32 (fma.f32 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) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
(*.f32 (fma.f32 (*.f32 u2 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 (*.f32 u2 u2) #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 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 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 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 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) u1)))) |
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5153961/4294967296 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 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5153961/4294967296 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) u1)))) |
(if (<=.f32 u2 #s(literal 5153961/4294967296 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 u1))) |
(if (<=.f32 u2 #s(literal 5153961/4294967296 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(sqrt.f32 (+.f32 (*.f32 u1 u1) u1)) |
(sqrt.f32 (+.f32 u1 (*.f32 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 |
| 21 140× | accelerator-lowering-fma.f32 |
| 21 140× | accelerator-lowering-fma.f64 |
| 13 044× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 134 |
| 1 | 169 | 125 |
| 2 | 1224 | 125 |
| 0 | 8428 | 110 |
| 0 | 552 | 4588 |
| 1 | 1770 | 3944 |
| 2 | 6018 | 3760 |
| 0 | 8559 | 3568 |
| 0 | 39 | 171 |
| 1 | 204 | 166 |
| 2 | 1654 | 164 |
| 0 | 8368 | 152 |
| 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 | 580 | 4018 |
| 1 | 1792 | 3525 |
| 2 | 6077 | 3346 |
| 0 | 8298 | 3143 |
| 0 | 36 | 182 |
| 1 | 189 | 170 |
| 2 | 1417 | 162 |
| 0 | 8616 | 151 |
| 0 | 423 | 4138 |
| 1 | 1317 | 3676 |
| 2 | 4526 | 3369 |
| 0 | 8089 | 3166 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 205 to 528 computations (56.2% saved)
(abs u2)
(abs cosTheta_i)
Compiled 1 716 to 562 computations (67.2% saved)
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