
Time bar (total: 12.5s)
| 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)
| 1.7s | 8 256× | 0 | valid |
| 1.0ms | 5× | 0 | invalid |
const: 469.0ms (35% of total)ival-sqrt: 223.0ms (16.6% of total)ival-div: 150.0ms (11.2% of total)ival-<=: 139.0ms (10.4% of total)ival-mult: 121.0ms (9% of total)ival-cos: 118.0ms (8.8% of total)ival-sub: 56.0ms (4.2% of total)ival-and: 33.0ms (2.5% of total)ival->: 23.0ms (1.7% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 1× | 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 | 106 |
| 1 | 78 | 104 |
| 2 | 128 | 104 |
| 3 | 215 | 102 |
| 4 | 361 | 102 |
| 5 | 611 | 102 |
| 6 | 775 | 102 |
| 7 | 871 | 102 |
| 8 | 910 | 102 |
| 9 | 930 | 102 |
| 10 | 934 | 102 |
| 0 | 10 | 11 |
| 0 | 16 | 11 |
| 1 | 22 | 11 |
| 2 | 26 | 11 |
| 3 | 31 | 11 |
| 4 | 38 | 11 |
| 5 | 48 | 11 |
| 6 | 63 | 11 |
| 7 | 86 | 11 |
| 8 | 108 | 11 |
| 9 | 116 | 11 |
| 10 | 118 | 11 |
| 0 | 118 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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))) |
(abs u2)
(abs cosTheta_i)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u1) |
| 0 | 0 | - | 0 | - | u2 |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 314159265359/50000000000 binary32) |
| 0 | 0 | - | 0 | - | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 0 | 0 | - | 0 | - | u1 |
| 0 | 0 | - | 0 | - | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 0 | 0 | - | 0 | - | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 0 | 0 | - | 0 | - | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 49.0ms | 512× | 0 | valid |
Compiled 104 to 48 computations (53.8% saved)
ival-mult: 10.0ms (30.3% of total)const: 7.0ms (21.2% of total)ival-cos: 5.0ms (15.1% of total)ival-div: 4.0ms (12.1% of total)ival-sqrt: 3.0ms (9.1% of total)ival-sub: 2.0ms (6.1% 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 |
|---|---|---|
| ▶ | 99.0% | (*.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× | lower-+.f64 |
| 36× | lower-+.f32 |
| 26× | sub-neg |
| 26× | lower--.f64 |
| 24× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 22 | 36 |
| 2 | 26 | 36 |
| 3 | 31 | 36 |
| 4 | 38 | 36 |
| 5 | 48 | 36 |
| 6 | 63 | 36 |
| 7 | 86 | 36 |
| 8 | 108 | 36 |
| 9 | 116 | 36 |
| 10 | 118 | 36 |
| 0 | 118 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#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))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.6% | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 25.0ms | 256× | 0 | valid |
Compiled 38 to 13 computations (65.8% saved)
const: 5.0ms (29.7% of total)ival-mult: 3.0ms (17.8% of total)ival-sub: 3.0ms (17.8% of total)ival-cos: 3.0ms (17.8% of total)ival-div: 2.0ms (11.9% of total)ival-sqrt: 2.0ms (11.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))> |
#<alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))> |
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))> |
#<alt (-.f32 #s(literal 1 binary32) u1)> |
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) 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 | u2 | @ | inf | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u1 | @ | 0 | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u2 | @ | -inf | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u2 | @ | 0 | (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
| 1× | egg-herbie |
| 21 824× | lower-fma.f64 |
| 21 824× | lower-fma.f32 |
| 6 728× | lower-*.f64 |
| 6 728× | lower-*.f32 |
| 4 106× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 906 |
| 1 | 523 | 815 |
| 2 | 1543 | 747 |
| 3 | 4760 | 699 |
| 0 | 8231 | 673 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
1 |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(* -1 u1) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* -1 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
| Outputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (+.f32 #s(literal -3/8 binary32) (/.f32 #s(literal -5/16 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1)))) (neg.f32 u1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) u1)) u1)) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(fma.f32 (*.f32 u1 u1) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1)) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1))) u1)) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) u1)) u1)) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 u1) |
(neg.f32 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 1× | batch-egg-rewrite |
| 3 704× | lower-/.f64 |
| 3 702× | lower-/.f32 |
| 3 286× | lower-*.f64 |
| 3 282× | lower-*.f32 |
| 2 456× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 0 | 16 | 28 |
| 1 | 46 | 28 |
| 2 | 237 | 28 |
| 3 | 1953 | 28 |
| 0 | 9692 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(*.f32 #s(literal 314159265359/50000000000 binary32) 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)))) |
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(/.f32 (neg.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))) (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (+.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))) (neg.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (neg.f32 (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (+.f32 u1 #s(literal -1 binary32))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))))) |
(/.f32 (neg.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))))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) |
(/.f32 (neg.f32 (-.f32 (*.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 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (neg.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (neg.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) |
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 (*.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))))) |
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))) |
(*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) |
(*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32))) |
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32))) |
(*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) |
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32))) |
(*.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) |
(*.f32 (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 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
Compiled 16 095 to 2 490 computations (84.5% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 567 | 24 | 591 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 567 | 25 | 592 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 71.5% | (*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 73.8% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 89.5% | (*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 85.8% | (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.6% | (*.f32 (sqrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.6% | (*.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))) | |
| ▶ | 99.1% | (*.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 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 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))) (fma.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.9% | (*.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))) | |
| 99.0% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 99.0% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 99.0% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.9% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 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))) | |
| ▶ | 91.4% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 87.2% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 93.7% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 92.6% | (*.f32 #s(approx (sqrt (/ u1 (- 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 75.8% | (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) | |
| ▶ | 92.6% | #s(approx (* (sqrt (/ u1 (- 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))))) |
| 90.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))))) | |
| 93.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))))) | |
| ▶ | 83.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
Compiled 1 188 to 725 computations (39% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.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)))))) |
| ✓ | cost-diff | 0 | (*.f32 u1 u1) |
| ✓ | cost-diff | 448 | (fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) |
| ✓ | cost-diff | 3520 | (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)))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 704 | (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| ✓ | cost-diff | 3520 | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | cost-diff | 64 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) |
| ✓ | cost-diff | 416 | (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) |
| ✓ | cost-diff | 3520 | (*.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))) |
| 34 688× | lower-fma.f64 |
| 34 680× | lower-fma.f32 |
| 5 622× | lower-*.f64 |
| 5 606× | lower-*.f32 |
| 3 710× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 353 |
| 0 | 85 | 395 |
| 1 | 145 | 391 |
| 2 | 354 | 383 |
| 3 | 1199 | 308 |
| 4 | 4828 | 308 |
| 0 | 8619 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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))) |
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) |
(neg.f32 (fma.f32 u1 u1 u1)) |
(fma.f32 u1 u1 u1) |
u1 |
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) |
#s(literal -1 binary32) |
(*.f32 u1 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
u1 |
(fma.f32 u1 u1 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) |
(+.f32 u1 #s(literal 1 binary32)) |
u1 |
(/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) |
(sqrt.f32 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (sqrt (/ u1 (- 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))))) |
(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 u1 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)))))) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#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))))) |
#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) |
(fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) |
(/.f32 #s(literal -1/4 binary32) u1) |
#s(literal -1/4 binary32) |
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) |
(+.f32 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(/.f32 #s(literal 1 binary32) u1) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
(*.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))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) |
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(neg.f32 (fma.f32 u1 u1 u1)) |
(fma.f32 u1 u1 u1) |
u1 |
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 u1 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
u1 |
(fma.f32 u1 u1 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 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 u1 #s(literal 1 binary32)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) |
(+.f32 u1 #s(literal 1 binary32)) |
u1 |
(/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) |
(sqrt.f32 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (sqrt (/ u1 (- 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))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 u1))) |
(*.f32 u1 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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#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 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
#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)))) |
(fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 u1) |
(fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) |
(+.f32 u1 #s(literal -1/4 binary32)) |
(/.f32 #s(literal -1/4 binary32) u1) |
#s(literal -1/4 binary32) |
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) |
(+.f32 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(/.f32 #s(literal 1 binary32) u1) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (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)))) |
| ✓ | accuracy | 99.2% | (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.1% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 98.9% | (fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) |
| ✓ | accuracy | 99.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) |
| ✓ | accuracy | 99.1% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 99.1% | (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
| ✓ | accuracy | 99.8% | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| ✓ | accuracy | 99.6% | (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | accuracy | 99.1% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 100.0% | (-.f32 #s(literal 1 binary32) u1) |
| ✓ | accuracy | 99.6% | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.6% | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.6% | (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) |
| ✓ | accuracy | 99.6% | (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
| ✓ | accuracy | 99.5% | (*.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))) |
| ✓ | accuracy | 99.1% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 97.0ms | 248× | 0 | valid |
| 7.0ms | 8× | 5 | exit |
Compiled 373 to 45 computations (87.9% saved)
ival-div: 31.0ms (38.7% of total)ival-mult: 22.0ms (27.5% of total)ival-sqrt: 8.0ms (10% of total)ival-add: 8.0ms (10% of total)const: 4.0ms (5% of total)ival-cos: 3.0ms (3.7% of total)adjust: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-sub: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.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)))> |
#<alt (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))> |
#<alt (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))> |
#<alt (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))> |
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))> |
#<alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))> |
#<alt (-.f32 #s(literal 1 binary32) u1)> |
#<alt (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))> |
#<alt (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))> |
#<alt (fma.f32 u1 (fma.f32 u1 u1 u1) u1)> |
#<alt (fma.f32 u1 u1 u1)> |
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))> |
#<alt (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))> |
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))> |
#<alt (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))> |
#<alt (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))))> |
#<alt (fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1)> |
#<alt (*.f32 u1 u1)> |
#<alt (*.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))))))> |
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)> |
#<alt (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))> |
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))> |
#<alt (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))> |
#<alt (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))))> |
| Outputs |
|---|
#<alt (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))> |
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))> |
#<alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))> |
#<alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))> |
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))> |
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))> |
#<alt (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))> |
#<alt (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))> |
#<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) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))> |
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))> |
#<alt (+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))> |
#<alt (+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))))> |
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))> |
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))> |
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))> |
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))> |
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))> |
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))> |
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))> |
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))> |
#<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 (- (pow u1 2) 1)> |
#<alt (- (pow u1 2) 1)> |
#<alt (- (pow u1 2) 1)> |
#<alt (pow u1 2)> |
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))> |
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))> |
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))> |
#<alt (pow u1 2)> |
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))> |
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))> |
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))> |
#<alt (* (sqrt u1) (pow (sqrt -1) 2))> |
#<alt (+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))> |
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))> |
#<alt (+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))> |
#<alt (+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))> |
#<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 (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 (* -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 (+ (* 1/2 (* (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))))))> |
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#<alt (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))> |
#<alt (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))> |
#<alt (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))> |
#<alt (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))> |
#<alt (/ (+ (* 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* -1/4 (sqrt u1)))))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))) u1)> |
#<alt (/ (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* -1/4 (sqrt u1))))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2))))))) u1)> |
#<alt (/ (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* -1/4 (sqrt u1))))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2))))))) u1)> |
#<alt (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2))))> |
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1))))> |
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1)))))> |
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1)))))> |
#<alt (* -1/2 (* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))> |
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1))))> |
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))> |
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))> |
#<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 (/ 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))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (sqrt (/ 1 u1))> |
#<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 (* (sqrt u1) (pow (sqrt -1) 2))> |
#<alt (* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))))))> |
#<alt (sqrt (/ 1 u1))> |
#<alt (/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (* -1/4 (sqrt u1))))) u1)> |
#<alt (/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (+ (sqrt (pow u1 3)) (* -1/4 (sqrt u1)))))) u1)> |
#<alt (/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (+ (sqrt (pow u1 3)) (* -1/4 (sqrt u1)))))) u1)> |
#<alt (sqrt (pow u1 3))> |
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (sqrt (/ 1 (pow u1 3))) (* -1/4 (sqrt (/ 1 (pow u1 3)))))))> |
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (sqrt (/ 1 (pow u1 3))) (+ (sqrt (/ 1 (pow u1 5))) (* -1/4 (sqrt (/ 1 (pow u1 3))))))))> |
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (sqrt (/ 1 (pow u1 3))) (+ (sqrt (/ 1 (pow u1 5))) (* -1/4 (sqrt (/ 1 (pow u1 3))))))))> |
#<alt (* -1 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))> |
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1))))> |
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1))))> |
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1))))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | u1 | @ | inf | (+ (* (* u1 u1) (* (cos (* 314159265359/50000000000 u2)) (* 1/2 (+ (* (sqrt u1) (+ (* u1 (/ -1/4 u1)) u1)) (* (+ u1 1) (sqrt (/ 1 u1))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
| 2.0ms | u2 | @ | inf | (+ (* (* u1 u1) (* (cos (* 314159265359/50000000000 u2)) (* 1/2 (+ (* (sqrt u1) (+ (* u1 (/ -1/4 u1)) u1)) (* (+ u1 1) (sqrt (/ 1 u1))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
| 2.0ms | u1 | @ | 0 | (/ 1 (sqrt (+ u1 1))) |
| 2.0ms | u2 | @ | 0 | (* (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) |
| 2.0ms | u1 | @ | 0 | (* (cos (* 314159265359/50000000000 u2)) (* 1/2 (+ (* (sqrt u1) (+ (* u1 (/ -1/4 u1)) u1)) (* (+ u1 1) (sqrt (/ 1 u1)))))) |
| 1× | egg-herbie |
| 14 728× | lower-fma.f64 |
| 14 728× | lower-fma.f32 |
| 8 108× | lower-*.f64 |
| 8 108× | lower-*.f32 |
| 4 228× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 677 | 5962 |
| 1 | 2143 | 5155 |
| 2 | 7382 | 5155 |
| 0 | 8304 | 4870 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* 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) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) |
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))))) |
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))))))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
-1 |
(- (pow u1 2) 1) |
(- (pow u1 2) 1) |
(- (pow u1 2) 1) |
(pow u1 2) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(pow u1 2) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1)))))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))) |
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 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) |
(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 (* -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 (+ (* 1/2 (* (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)))) |
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(+ (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)))) |
(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) |
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(+ (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 |
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(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
(pow (sqrt -1) 2) |
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)) |
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(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(cos (* 314159265359/50000000000 u2)) |
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))) |
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* -5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))) |
(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(sqrt (/ u1 (+ 1 u1))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
1 |
(+ 1 (* -1/2 u1)) |
(+ 1 (* u1 (- (* 3/8 u1) 1/2))) |
(+ 1 (* u1 (- (* u1 (+ 3/8 (* -5/16 u1))) 1/2))) |
(sqrt (/ 1 u1)) |
(+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 3))))) |
(+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))) |
(+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (+ 1 (* 1/4 u1)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))) |
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -1/4 (/ u1 (pow (sqrt -1) 2))))))) (pow u1 3))) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
1 |
(+ 1 (* 1/2 u1)) |
(+ 1 (* u1 (+ 1/2 (* -1/8 u1)))) |
(+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/16 u1) 1/8))))) |
(sqrt u1) |
(* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* u1 (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) |
(* (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 (* u1 (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* -1/4 (sqrt u1)))))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* -1/4 (sqrt u1))))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(* 1/2 (* (sqrt (pow u1 7)) (cos (* 314159265359/50000000000 u2)))) |
(* (pow u1 4) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1)))) |
(* (pow u1 4) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1))))) |
(* (pow u1 4) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1)) (* (sqrt (/ 1 (pow u1 7))) (cos (* 314159265359/50000000000 u2))))))) |
(* -1/2 (* (sqrt (pow u1 7)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* (pow u1 4) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)))) |
(* (pow u1 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) |
(* (pow u1 4) (+ (* -1 (/ (+ (* -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 (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (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) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))) |
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))))))) |
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u1 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))))) |
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u1 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt u1)) (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (pow u1 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))))))))))))) |
(+ (* 1/2 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* 1/2 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* 1/2 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* 1/2 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* 1/2 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* 1/2 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* 1/2 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* 1/2 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
-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))) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(pow u1 2) |
(* 1/2 (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))) |
(+ (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) (* 1/2 (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) |
(+ (* 1/2 (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))))))) |
(+ (* 1/2 (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))))))) |
(* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) |
(* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) |
(* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) |
(* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) |
(* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) |
(* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) |
(* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) |
(* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* (sqrt u1) (- u1 1/4)) (* (sqrt (/ 1 u1)) (+ 1 u1))))) |
(* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) |
(/ (+ (* 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* -1/4 (sqrt u1)))))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))) u1) |
(/ (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* -1/4 (sqrt u1))))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2))))))) u1) |
(/ (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* -1/4 (sqrt u1))))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2))))))) u1) |
(* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1)))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1))))) |
(* -1/2 (* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
(* 314159265359/50000000000 u2) |
1 |
(+ 1 (* -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 (/ 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)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(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))))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))) |
(sqrt (/ 1 u1)) |
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (* -1/4 (sqrt u1))))) u1) |
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (+ (sqrt (pow u1 3)) (* -1/4 (sqrt u1)))))) u1) |
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (+ (sqrt (pow u1 3)) (* -1/4 (sqrt u1)))))) u1) |
(sqrt (pow u1 3)) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (sqrt (/ 1 (pow u1 3))) (* -1/4 (sqrt (/ 1 (pow u1 3))))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (sqrt (/ 1 (pow u1 3))) (+ (sqrt (/ 1 (pow u1 5))) (* -1/4 (sqrt (/ 1 (pow u1 3)))))))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (sqrt (/ 1 (pow u1 3))) (+ (sqrt (/ 1 (pow u1 5))) (* -1/4 (sqrt (/ 1 (pow u1 3)))))))) |
(* -1 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) |
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)))) |
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)))) |
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)))) |
| Outputs |
|---|
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (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)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) |
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 u1))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1)) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(+ (* -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))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) u1)) |
(+ (* -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))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1))) |
(* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) |
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))))) |
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))) |
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) 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 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))) u1)) |
-1 |
#s(literal -1 binary32) |
(- (pow u1 2) 1) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
(- (pow u1 2) 1) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
(- (pow u1 2) 1) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(neg.f32 (sqrt.f32 u1)) |
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (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)) (neg.f32 (sqrt.f32 u1))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (*.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 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1))) |
(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) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))) |
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))) |
(fma.f32 #s(literal 5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))))) |
(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 (/ (+ (* 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 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) 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))) |
(-.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 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) 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 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))) u1)) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 #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 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (+.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 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (+.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 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) u1)) u1)) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32) (*.f32 #s(literal 5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (neg.f32 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)) |
(fma.f32 u1 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1)) |
(* u1 (- (/ 1 u1) 1)) |
(fma.f32 u1 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1)) |
(* u1 (- (/ 1 u1) 1)) |
(fma.f32 u1 (/.f32 #s(literal 1 binary32) u1) (neg.f32 u1)) |
(* -1 u1) |
(neg.f32 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* 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 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.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 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.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)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.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)))) (+ (* -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 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 #s(literal -5/16 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 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 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 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)))))) |
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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 (- 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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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))) |
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(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
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u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(pow u1 3) |
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(* (pow u1 3) (+ 1 (/ 1 u1))) |
(*.f32 u1 (fma.f32 u1 u1 (/.f32 (*.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))) |
(*.f32 u1 (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))) |
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(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))) |
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u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
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(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1)) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1)) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1)) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1)) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1)) |
(sqrt u1) |
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1 |
#s(literal 1 binary32) |
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(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1))) |
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(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
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(pow (sqrt -1) 2) |
#s(literal -1 binary32) |
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(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
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(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
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(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
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(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
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(sqrt (/ u1 (+ 1 u1))) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))) |
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
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(fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
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(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
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(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1)))) |
(*.f32 (*.f32 (*.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)) (/.f32 (*.f32 #s(literal 3/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1)))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1))))) |
(*.f32 u1 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1))))))) |
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (* -1/4 (sqrt (/ 1 u1))))) u1))))) |
(*.f32 u1 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (/.f32 (*.f32 #s(literal 3/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1))))))) |
(* -1/2 (* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)))) |
(*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 5/4 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) |
(*.f32 (*.f32 u1 u1) (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 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 5/4 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32))) (neg.f32 u1)))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (cos (* 314159265359/50000000000 u2)) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) u1)) (* -1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))) |
(*.f32 (*.f32 u1 u1) (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 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 5/4 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32))) (neg.f32 u1)))) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1) |
(/.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) u1) |
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1) |
(/.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) u1) |
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1) |
(/.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3))))) |
(*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3))))) |
(*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3))))) |
(*.f32 u1 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(neg.f32 (sqrt.f32 u1)) |
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))) |
(*.f32 (neg.f32 u1) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) |
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))) |
(*.f32 (neg.f32 u1) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) |
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2)))))) |
(*.f32 (neg.f32 u1) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) |
(sqrt (/ 1 u1)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) |
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (* -1/4 (sqrt u1))))) u1) |
(/.f32 (fma.f32 #s(literal 3/4 binary32) (*.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1)) u1) |
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (+ (sqrt (pow u1 3)) (* -1/4 (sqrt u1)))))) u1) |
(/.f32 (fma.f32 u1 (fma.f32 #s(literal 3/4 binary32) (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1)) u1) |
(/ (+ (sqrt u1) (* u1 (+ (sqrt u1) (+ (sqrt (pow u1 3)) (* -1/4 (sqrt u1)))))) u1) |
(/.f32 (fma.f32 u1 (fma.f32 #s(literal 3/4 binary32) (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 u1)) u1) |
(sqrt (pow u1 3)) |
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (sqrt (/ 1 (pow u1 3))) (* -1/4 (sqrt (/ 1 (pow u1 3))))))) |
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 3/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) |
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (sqrt (/ 1 (pow u1 3))) (+ (sqrt (/ 1 (pow u1 5))) (* -1/4 (sqrt (/ 1 (pow u1 3)))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 3/4 binary32) (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 2) (+ (sqrt (/ 1 u1)) (+ (sqrt (/ 1 (pow u1 3))) (+ (sqrt (/ 1 (pow u1 5))) (* -1/4 (sqrt (/ 1 (pow u1 3)))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 3/4 binary32) (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 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) |
(neg.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)))) |
(*.f32 (*.f32 u1 u1) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -5/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) |
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)))) |
(*.f32 (*.f32 u1 u1) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 5/4 binary32) (neg.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) u1))) |
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) u1)))) |
(*.f32 (*.f32 u1 u1) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 5/4 binary32) (neg.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))))) u1))) |
| 1× | batch-egg-rewrite |
| 4 670× | lower-fma.f64 |
| 4 662× | lower-fma.f32 |
| 4 504× | lower-/.f64 |
| 4 490× | lower-/.f32 |
| 4 474× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 228 |
| 0 | 78 | 252 |
| 1 | 281 | 192 |
| 2 | 1994 | 178 |
| 0 | 9002 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) |
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) |
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(-.f32 #s(literal 1 binary32) u1) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(fma.f32 u1 u1 u1) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 u1 #s(literal 1 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)))) |
(fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) |
(*.f32 u1 u1) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (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 #s(literal 314159265359/50000000000 binary32) u2) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) |
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) |
(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)))) |
| Outputs |
|---|
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 (fma.f32 u1 u1 u1)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 (fma.f32 u1 u1 u1))))) (neg.f32 (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))) |
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(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (sqrt.f32 u1) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (sqrt.f32 u1))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (neg.f32 (sqrt.f32 u1)))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (+.f32 u1 #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (+.f32 u1 #s(literal -1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (+.f32 u1 #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (+.f32 u1 #s(literal -1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)) (sqrt.f32 u1) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (-.f32 #s(literal -1/4 binary32) u1) (sqrt.f32 u1))) |
(/.f32 (-.f32 (*.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal -1/4 binary32)) (+.f32 u1 #s(literal -1/4 binary32)))) (fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (neg.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1))))) (*.f32 (fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (neg.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)))) (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (*.f32 (fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (neg.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)))) (fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (neg.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32))) (*.f32 u1 (*.f32 (+.f32 u1 #s(literal -1/4 binary32)) (+.f32 u1 #s(literal -1/4 binary32)))) (/.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (sqrt.f32 u1)))))) (neg.f32 (neg.f32 (fma.f32 u1 (*.f32 (+.f32 u1 #s(literal -1/4 binary32)) (+.f32 u1 #s(literal -1/4 binary32))) (*.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32))))))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal -1/4 binary32)) (+.f32 u1 #s(literal -1/4 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))) (neg.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (neg.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (*.f32 (+.f32 u1 #s(literal -1/4 binary32)) (+.f32 u1 #s(literal -1/4 binary32)))))) (neg.f32 (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)))))) |
(/.f32 (fma.f32 #s(literal -1/64 binary32) (*.f32 u1 (sqrt.f32 u1)) (pow.f32 (fma.f32 u1 (sqrt.f32 u1) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1))) #s(literal 3 binary32))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -1/4 binary32)) (*.f32 (sqrt.f32 u1) #s(literal -1/4 binary32)) (-.f32 (*.f32 (fma.f32 u1 (sqrt.f32 u1) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1))) (fma.f32 u1 (sqrt.f32 u1) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1/4 binary32)) (fma.f32 u1 (sqrt.f32 u1) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1))))))) |
(/.f32 (+.f32 (pow.f32 (+.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) #s(literal 3 binary32)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))) (fma.f32 (+.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) (+.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) (-.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (+.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/4 binary32))) (*.f32 u1 (sqrt.f32 u1)))))) |
(*.f32 (fma.f32 (*.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32))) (*.f32 u1 (*.f32 (+.f32 u1 #s(literal -1/4 binary32)) (+.f32 u1 #s(literal -1/4 binary32)))) (/.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 (+.f32 u1 #s(literal -1/4 binary32)) (+.f32 u1 #s(literal -1/4 binary32))) (*.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)))))))) |
(*.f32 (-.f32 (*.f32 u1 (*.f32 (+.f32 u1 #s(literal -1/4 binary32)) (+.f32 u1 #s(literal -1/4 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 u1) (+.f32 u1 #s(literal -1/4 binary32)) (neg.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)))))) |
Compiled 14 675 to 2 036 computations (86.1% saved)
34 alts after pruning (31 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 706 | 22 | 728 |
| Fresh | 10 | 9 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 719 | 34 | 753 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.7% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 98.7% | (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 71.5% | (*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 71.2% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 68.3% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 64.2% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 73.5% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.6% | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 75.7% | (*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 89.5% | (*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.5% | (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.6% | (*.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))) | |
| 95.5% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 83.1% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 98.7% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 99.0% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | 99.0% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.9% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.9% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.2% | (*.f32 (sqrt.f32 #s(approx (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 91.4% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 88.1% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 86.6% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 83.6% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 77.0% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 75.8% | (*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 92.6% | (*.f32 #s(approx (sqrt (/ u1 (- 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 64.1% | #s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
| ▶ | 93.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
| 95.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) | |
| 90.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))) | |
| 90.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))))) | |
| ▶ | 93.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))))) |
| ✓ | 83.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
Compiled 1 399 to 888 computations (36.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | cost-diff | 0 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| ✓ | cost-diff | 0 | (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | cost-diff | 0 | (*.f32 u2 u2) |
| ✓ | cost-diff | 768 | (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| ✓ | cost-diff | 928 | (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.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))) (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)))) |
| ✓ | cost-diff | 320 | (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))) |
| ✓ | cost-diff | 0 | (+.f32 u1 #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | cost-diff | 352 | (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
| ✓ | cost-diff | 704 | (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) |
| 5 236× | lower-fma.f64 |
| 5 226× | lower-fma.f32 |
| 3 204× | lower-*.f64 |
| 3 176× | lower-*.f32 |
| 1 332× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 442 |
| 0 | 95 | 420 |
| 1 | 175 | 394 |
| 2 | 405 | 392 |
| 3 | 925 | 389 |
| 4 | 1953 | 389 |
| 5 | 2631 | 365 |
| 6 | 3488 | 361 |
| 7 | 4238 | 355 |
| 8 | 4910 | 352 |
| 9 | 5711 | 352 |
| 10 | 6798 | 352 |
| 11 | 7646 | 352 |
| 12 | 7814 | 352 |
| 13 | 7838 | 352 |
| 0 | 8088 | 348 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) |
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
u1 |
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) |
(+.f32 u1 #s(literal 1 binary32)) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
(/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) |
(*.f32 u1 (*.f32 u1 u1)) |
(*.f32 u1 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
u1 |
(+.f32 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 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.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(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 u2 u2) |
u2 |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) |
(fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 u2 u2) |
u2 |
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) |
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(sqrt.f32 u1) |
u1 |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 (neg.f32 u1))) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) |
(sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 (neg.f32 u1))) #s(literal 1 binary32)))) |
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 (neg.f32 u1))) #s(literal 1 binary32))) |
u1 |
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) |
(+.f32 u1 #s(literal 1 binary32)) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
(/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) |
(*.f32 u1 (*.f32 u1 u1)) |
(*.f32 u1 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
u1 |
(+.f32 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(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))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(*.f32 u2 u2) |
u2 |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) |
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) |
(fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (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) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) |
(*.f32 u2 u2) |
u2 |
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 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 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) |
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(sqrt.f32 u1) |
u1 |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.4% | (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
| ✓ | accuracy | 99.3% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 99.1% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 99.5% | (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| ✓ | accuracy | 99.3% | (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) |
| ✓ | accuracy | 99.0% | (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
| ✓ | accuracy | 98.8% | (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| ✓ | accuracy | 99.6% | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.5% | (*.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)))) |
| ✓ | accuracy | 99.0% | (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
| ✓ | accuracy | 98.7% | (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
| ✓ | accuracy | 100.0% | (+.f32 u1 #s(literal 1 binary32)) |
| ✓ | accuracy | 99.6% | (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
| ✓ | accuracy | 99.2% | (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
| ✓ | accuracy | 99.2% | (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) |
| ✓ | accuracy | 99.1% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| ✓ | accuracy | 98.9% | (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
| 112.0ms | 247× | 0 | valid |
| 22.0ms | 9× | 5 | exit |
Compiled 464 to 53 computations (88.6% saved)
ival-mult: 35.0ms (31.5% of total)ival-add: 26.0ms (23.4% of total)ival-div: 17.0ms (15.3% of total)const: 14.0ms (12.6% of total)ival-sqrt: 11.0ms (9.9% of total)ival-sub: 3.0ms (2.7% of total)ival-cos: 3.0ms (2.7% of total)adjust: 2.0ms (1.8% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))> |
#<alt (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))> |
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))> |
#<alt (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))> |
#<alt (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))> |
#<alt (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))> |
#<alt (+.f32 u1 #s(literal 1 binary32))> |
#<alt (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)))> |
#<alt (*.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))))> |
#<alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))> |
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))> |
#<alt (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))> |
#<alt (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))> |
#<alt (*.f32 u2 u2)> |
#<alt (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))> |
#<alt (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))> |
#<alt (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))> |
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)> |
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))> |
#<alt (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))> |
#<alt (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))> |
#<alt (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))> |
#<alt (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))> |
#<alt (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))> |
#<alt (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))> |
#<alt (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))> |
#<alt (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))> |
| Outputs |
|---|
#<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 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 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2)))))))> |
#<alt (+ (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (pow u2 2))))> |
#<alt (+ (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2)))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (pow u2 2))))))> |
#<alt (+ (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2)))))))))))))> |
#<alt (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2)))> |
#<alt (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (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 (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 (pow (sqrt -1) 2)> |
#<alt (+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))> |
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))> |
#<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 1> |
#<alt (+ 1 u1)> |
#<alt (+ 1 u1)> |
#<alt (+ 1 u1)> |
#<alt u1> |
#<alt (* u1 (+ 1 (/ 1 u1)))> |
#<alt (* u1 (+ 1 (/ 1 u1)))> |
#<alt (* u1 (+ 1 (/ 1 u1)))> |
#<alt u1> |
#<alt (* u1 (+ 1 (/ 1 u1)))> |
#<alt (* u1 (+ 1 (/ 1 u1)))> |
#<alt (* u1 (+ 1 (/ 1 u1)))> |
#<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) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))> |
#<alt (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))> |
#<alt (* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))> |
#<alt (* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))> |
#<alt (* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))> |
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#<alt (* -98696044010906577398881/5000000000000000000000 (sqrt -1))> |
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (/ 1 (* u1 (sqrt -1)))))> |
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1)))))> |
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1))))))> |
#<alt (* -98696044010906577398881/5000000000000000000000 (sqrt -1))> |
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -98696044010906577398881/10000000000000000000000 (/ (sqrt -1) u1)))> |
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* 296088132032719732196643/40000000000000000000000 (/ (sqrt -1) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))) u1)))> |
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* -98696044010906577398881/16000000000000000000000 (/ (sqrt -1) u1))) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))) u1)))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))> |
#<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)))))))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | u1 | @ | -inf | (+ (* (sqrt (/ u1 (- 1 u1))) (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) |
| 6.0ms | u2 | @ | 0 | (* (sqrt (/ u1 (- (/ 1 (* (+ u1 1) (+ (* u1 u1) 1))) (/ (* u1 (* u1 (* u1 u1))) (* (+ u1 1) (+ (* u1 u1) 1)))))) (cos (* 314159265359/50000000000 u2))) |
| 2.0ms | u2 | @ | inf | (* (sqrt (/ u1 (- (/ 1 (* (+ u1 1) (+ (* u1 u1) 1))) (/ (* u1 (* u1 (* u1 u1))) (* (+ u1 1) (+ (* u1 u1) 1)))))) (cos (* 314159265359/50000000000 u2))) |
| 2.0ms | u1 | @ | 0 | (/ (* u1 (* u1 (* u1 u1))) (* (+ u1 1) (+ (* u1 u1) 1))) |
| 1.0ms | u1 | @ | inf | (+ (* (sqrt (/ u1 (- 1 u1))) (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) |
| 1× | egg-herbie |
| 11 238× | lower-fma.f64 |
| 11 238× | lower-fma.f32 |
| 6 078× | lower-*.f64 |
| 6 078× | lower-*.f32 |
| 4 446× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 693 | 6891 |
| 1 | 2184 | 6096 |
| 2 | 7672 | 6075 |
| 0 | 8023 | 5717 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(+ 1 (* -1 u1)) |
(* -1 u1) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* u1 (- (/ 1 u1) 1)) |
(* -1 u1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(* (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 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) |
(+ (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2)))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))))))))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(sqrt u1) |
(+ (sqrt u1) (* -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))))) |
(pow (sqrt -1) 2) |
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
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))) |
1 |
(+ 1 u1) |
(+ 1 u1) |
(+ 1 u1) |
u1 |
(* u1 (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
u1 |
(* u1 (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
1 |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)) |
(* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)) |
(* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) |
(+ (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))))) |
(+ (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))))))) |
(* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) |
(+ (* -1/2 (/ (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))))) |
(* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) |
(+ (* 1/2 (/ (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) u1)) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* -3/8 (/ (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) u1))) u1)) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) u1)) (* 3/8 (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))) u1)) (* -1/2 (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))) u1)) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) |
(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)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
(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) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))))))))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) |
(+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1)))))) |
(+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1)))))))) |
(+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1)))))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1)))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/16000000000000000000000 (sqrt -1))) u1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1)))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) |
(* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(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)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))) |
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))) |
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))) |
(+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))) |
(+ (sqrt -1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) |
(- (+ (sqrt -1) (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1))))) u1))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) (+ (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (pow u1 2)) (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1))))) u1))))) (/ 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)))) (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) (+ (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (pow u1 2)) (+ (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))))) (pow u1 3)) (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1))))) u1))))))) (/ 1/2 (* u1 (sqrt -1)))) |
(+ (sqrt -1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) |
(+ (sqrt -1) (+ (* -1 (/ (+ (* -1/2 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))))) u1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) |
(+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (sqrt -1)) (* (pow u2 2) (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (+ (* -1/2 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (sqrt -1)))))) u1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) |
(+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/16 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/16000000000000000000000 (sqrt -1))))) u1)) (+ (* 3/8 (sqrt -1)) (* (pow u2 2) (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) u1)) (+ (* -1/2 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (sqrt -1)))))) u1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 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) |
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
1 |
(+ 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) |
1 |
(+ 1 (* -1 u1)) |
(+ 1 (* u1 (- (pow u1 3) 1))) |
(+ 1 (* u1 (- (* (pow u1 3) (+ 1 (* -1 u1))) 1))) |
(/ 1 (pow u1 3)) |
(/ (- 1 (/ 1 u1)) (pow u1 3)) |
(/ (- (+ 1 (/ 1 (pow u1 4))) (/ 1 u1)) (pow u1 3)) |
(/ (- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 u1) (/ 1 (pow u1 5)))) (pow u1 3)) |
(/ 1 (pow u1 3)) |
(* -1 (/ (- (/ 1 u1) 1) (pow u1 3))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (pow u1 3)) 1) u1)) 1) (pow u1 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) (pow u1 3))) 1) u1)) 1) (pow u1 3))) |
(pow u1 4) |
(* (pow u1 4) (+ 1 (* -1 u1))) |
(* (pow u1 4) (+ 1 (* u1 (- (pow u1 3) 1)))) |
(* (pow u1 4) (+ 1 (* u1 (- (* (pow u1 3) (+ 1 (* -1 u1))) 1)))) |
u1 |
(* u1 (- 1 (/ 1 u1))) |
(* u1 (- (+ 1 (/ 1 (pow u1 4))) (/ 1 u1))) |
(* u1 (- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 u1) (/ 1 (pow u1 5))))) |
u1 |
(* -1 (* u1 (- (/ 1 u1) 1))) |
(* -1 (* u1 (- (* -1 (/ (- (/ 1 (pow u1 3)) 1) u1)) 1))) |
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) (pow u1 3))) 1) u1)) 1))) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(pow u1 4) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 u2) |
(* -98696044010906577398881/5000000000000000000000 (sqrt u1)) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (sqrt (pow u1 3)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1)))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* -98696044010906577398881/10000000000000000000000 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(* -98696044010906577398881/5000000000000000000000 (sqrt -1)) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (/ 1 (* u1 (sqrt -1))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1)))))) |
(* -98696044010906577398881/5000000000000000000000 (sqrt -1)) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -98696044010906577398881/10000000000000000000000 (/ (sqrt -1) u1))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* 296088132032719732196643/40000000000000000000000 (/ (sqrt -1) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))) u1))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* -98696044010906577398881/16000000000000000000000 (/ (sqrt -1) u1))) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))) u1))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
1 |
(+ 1 (* -1/2 u1)) |
(+ 1 (* u1 (- (* -1/8 u1) 1/2))) |
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2))) |
(* (sqrt u1) (sqrt -1)) |
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(* -1 (* (sqrt u1) (sqrt -1))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
| Outputs |
|---|
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)))) |
(neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) 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 (/.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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(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)) #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 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 u1 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)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 u1 u1) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -5/16 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 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 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 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 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)))) (neg.f32 u1))) (neg.f32 u1))) |
(sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) |
(+ (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (pow u2 2)))) |
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (*.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(+ (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2)))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (pow u2 2)))))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(+ (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))))))))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(* (sqrt (/ u1 (- (/ 1 (* (+ 1 u1) (+ 1 (pow u1 2)))) (/ (pow u1 4) (* (+ 1 u1) (+ 1 (pow u1 2))))))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 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) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 #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))))) (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)))) |
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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 (-.f32 (*.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))) u1)) u1)) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 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)))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (sqrt.f32 u1)) |
1 |
#s(literal 1 binary32) |
(- 1 (* 1/2 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) |
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) u1)) |
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) u1)) (/.f32 #s(literal 5/16 binary32) (*.f32 u1 (*.f32 u1 u1)))) |
(pow (sqrt -1) 2) |
#s(literal -1 binary32) |
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) u1)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1)) u1)) u1)) |
u1 |
(* u1 (+ 1 (* -1 u1))) |
(fma.f32 u1 (neg.f32 u1) u1) |
(* u1 (+ 1 (* u1 (- u1 1)))) |
(fma.f32 u1 (fma.f32 u1 u1 (neg.f32 u1)) u1) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #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 (pow u1 2))) (/ 1 u1)) |
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) 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 #s(literal -1 binary32) 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)) |
1 |
#s(literal 1 binary32) |
(+ 1 u1) |
(+.f32 #s(literal 1 binary32) u1) |
(+ 1 u1) |
(+.f32 #s(literal 1 binary32) u1) |
(+ 1 u1) |
(+.f32 #s(literal 1 binary32) u1) |
u1 |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) u1) |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) u1) |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) u1) |
u1 |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) u1) |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) u1) |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) u1) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #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) (- (* 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)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) |
(* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 4 binary32))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 4 binary32))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) |
(* (pow u2 4) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) |
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 4 binary32))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2))))) |
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 4 binary32))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))))) |
(* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) |
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) |
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))))) |
(fma.f32 u1 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal 1 binary32))) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(+ (* (sqrt u1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal 1 binary32))))))) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(+ (* -1/2 (/ (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (pow u2 2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4)))))) |
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(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
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(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
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(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
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(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))))) |
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(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
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(sqrt u1) |
(sqrt.f32 u1) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
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(- (+ (sqrt -1) (* -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))) |
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u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
-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) |
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(fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 98696044010906577398881/10000000000000000000000 binary32) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -98696044010906577398881/16000000000000000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -296088132032719732196643/40000000000000000000000 binary32))) (neg.f32 u1))) (neg.f32 u1))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/2 u1)) |
(fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)) |
(+ 1 (* u1 (- (* -1/8 u1) 1/2))) |
(fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/16 binary32) #s(literal -1/8 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) |
(* (sqrt u1) (sqrt -1)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 #s(literal -1 binary32))) |
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) u1))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/8 binary32)))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(*.f32 u1 (fma.f32 #s(literal 1/16 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 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) u1))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/8 binary32))))))) |
(* -1 (* (sqrt u1) (sqrt -1))) |
(*.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(* -1 (* u1 (+ (* 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 1/2 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)))))) |
(neg.f32 (*.f32 u1 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/8 binary32)))))) |
(* -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) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) u1))) (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))))) (*.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× | batch-egg-rewrite |
| 5 784× | lower-fma.f64 |
| 5 774× | lower-fma.f32 |
| 4 292× | lower-*.f64 |
| 4 264× | lower-*.f32 |
| 4 198× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 323 |
| 0 | 78 | 305 |
| 1 | 293 | 195 |
| 2 | 2589 | 195 |
| 0 | 9380 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) |
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) |
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
(+.f32 u1 #s(literal 1 binary32)) |
(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 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.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 u2 u2) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) |
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
| Outputs |
|---|
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32) (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))) |
(+.f32 #s(literal 1 binary32) (neg.f32 u1)) |
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) #s(literal 1 binary32))) |
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(+.f32 (neg.f32 u1) #s(literal 1 binary32)) |
(+.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) |
(pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(fma.f32 u1 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(fma.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(fma.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) |
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(*.f32 (sqrt.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))))) |
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #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) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) |
Compiled 25 234 to 2 761 computations (89.1% saved)
44 alts after pruning (39 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 729 | 17 | 746 |
| Fresh | 4 | 22 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 736 | 44 | 780 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) | |
| 92.9% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) | |
| 88.8% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) | |
| 95.1% | (/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 93.2% | (/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 90.2% | (/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 98.7% | (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 95.2% | (/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 93.3% | (/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 90.3% | (/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 82.7% | (/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 71.2% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 68.3% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| ▶ | 64.2% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| 73.5% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 75.7% | (*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.3% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) | |
| 89.5% | (*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.5% | (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.6% | (*.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))) | |
| 95.5% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 83.1% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 98.7% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 99.0% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ▶ | 98.9% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ▶ | 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))) |
| 87.2% | (*.f32 (sqrt.f32 #s(approx (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 91.4% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 88.1% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 86.6% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 83.6% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| ▶ | 77.0% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| 98.4% | (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 96.4% | (*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 75.8% | (*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 92.6% | (*.f32 #s(approx (sqrt (/ u1 (- 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.3% | (exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))) | |
| 90.6% | #s(approx (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) | |
| ✓ | 64.1% | #s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
| 83.0% | #s(approx (* (sqrt (/ u1 (- (/ 1 (* (+ u1 1) (+ (* u1 u1) 1))) (/ (* u1 (* u1 (* u1 u1))) (* (+ u1 1) (+ (* u1 u1) 1)))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) | |
| ▶ | 95.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) |
| 90.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))))) | |
| ✓ | 93.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))))) |
| ✓ | 83.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
Compiled 1 751 to 1 136 computations (35.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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))) |
| ✓ | cost-diff | 3360 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| ✓ | cost-diff | 0 | (*.f32 u2 u2) |
| ✓ | cost-diff | 64 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | cost-diff | 320 | (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))) |
| ✓ | cost-diff | 704 | (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)))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| ✓ | cost-diff | 704 | (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| ✓ | 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 | 224 | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) |
| ✓ | cost-diff | 3360 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 3 760× | lower-fma.f64 |
| 3 750× | lower-fma.f32 |
| 1 694× | lower-*.f64 |
| 1 676× | lower-*.f32 |
| 938× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 302 |
| 0 | 90 | 314 |
| 1 | 148 | 286 |
| 2 | 310 | 278 |
| 3 | 873 | 275 |
| 4 | 1762 | 275 |
| 5 | 1873 | 275 |
| 6 | 1939 | 275 |
| 7 | 2046 | 275 |
| 8 | 2279 | 275 |
| 9 | 2601 | 275 |
| 10 | 2888 | 275 |
| 11 | 3166 | 275 |
| 12 | 3263 | 275 |
| 13 | 3323 | 275 |
| 14 | 3344 | 275 |
| 15 | 3356 | 275 |
| 16 | 3369 | 275 |
| 17 | 3378 | 275 |
| 18 | 3387 | 275 |
| 19 | 3394 | 275 |
| 20 | 3402 | 275 |
| 21 | 3405 | 275 |
| 0 | 3405 | 271 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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))) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) u1) |
u1 |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
u1 |
(fma.f32 u1 u1 u1) |
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) |
(+.f32 u1 #s(literal 1 binary32)) |
u1 |
(/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) |
(sqrt.f32 u1) |
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) |
(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 u2 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 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(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))) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) |
(fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
(*.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.f32 (/.f32 #s(literal 1 binary32) (-.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))) |
#s(literal 1 binary32) |
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) u1) |
u1 |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
| Outputs |
|---|
(*.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 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) |
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) u1) |
u1 |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
u1 |
(fma.f32 u1 u1 u1) |
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) |
(+.f32 u1 #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) u1) |
u1 |
(/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) |
(sqrt.f32 u1) |
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) 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 #s(approx (/ u1 (- 1 u1)) (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 u2 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)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (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))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(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))) |
(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)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) |
(fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
(*.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 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #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 (/.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))) |
#s(literal 1 binary32) |
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) u1) |
u1 |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) |
| ✓ | accuracy | 99.5% | (*.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 | 99.1% | (/.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) |
| ✓ | accuracy | 99.6% | (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)))) |
| ✓ | accuracy | 99.2% | (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
| ✓ | accuracy | 99.0% | (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
| ✓ | accuracy | 98.9% | (*.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)))) |
| ✓ | accuracy | 99.5% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| ✓ | accuracy | 99.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) |
| ✓ | accuracy | 99.0% | (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
| ✓ | accuracy | 100.0% | (fma.f32 u1 u1 u1) |
| ✓ | accuracy | 100.0% | (fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
| ✓ | accuracy | 99.6% | (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| ✓ | accuracy | 99.5% | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.5% | (*.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 | 99.1% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 91.0ms | 256× | 0 | valid |
Compiled 315 to 46 computations (85.4% saved)
ival-mult: 20.0ms (28.5% of total)const: 14.0ms (20% of total)ival-div: 13.0ms (18.5% of total)ival-add: 8.0ms (11.4% of total)ival-sqrt: 8.0ms (11.4% of total)ival-sub: 3.0ms (4.3% of total)ival-cos: 3.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))> |
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)> |
#<alt (*.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)))> |
#<alt (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))> |
#<alt (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))> |
#<alt (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))> |
#<alt (fma.f32 u1 (fma.f32 u1 u1 u1) u1)> |
#<alt (fma.f32 u1 u1 u1)> |
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))> |
#<alt (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))> |
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))> |
#<alt (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))> |
#<alt (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))))> |
#<alt (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)))> |
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))> |
#<alt (*.f32 u2 u2)> |
#<alt (*.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)))> |
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))> |
#<alt (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))> |
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)> |
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))> |
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))> |
#<alt (*.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))))> |
#<alt (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))> |
#<alt (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))> |
| Outputs |
|---|
#<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 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 (* (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)))))> |
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#<alt (sqrt -1)> |
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#<alt u1> |
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#<alt u1> |
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#<alt 1> |
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#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))> |
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#<alt 1> |
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#<alt 1> |
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#<alt (sqrt (/ u1 (- 1 u1)))> |
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#<alt (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))> |
#<alt (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))))))> |
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#<alt (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))> |
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#<alt (+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))))> |
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#<alt (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))> |
#<alt (+ (sqrt -1) (* (pow u2 2) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))))> |
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93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | u1 | @ | -inf | (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000))) |
| 2.0ms | u1 | @ | 0 | (* (/ 1 (- 1 u1)) u1) |
| 2.0ms | u1 | @ | inf | (+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)))) (sqrt (/ u1 (- 1 u1)))) |
| 1.0ms | u1 | @ | 0 | (+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)))) (sqrt (/ u1 (- 1 u1)))) |
| 1.0ms | u1 | @ | -inf | (+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) (+ (* u2 (* u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)))) (sqrt (/ u1 (- 1 u1)))) |
| 1× | egg-herbie |
| 12 600× | lower-fma.f64 |
| 12 600× | lower-fma.f32 |
| 6 778× | lower-*.f64 |
| 6 778× | lower-*.f32 |
| 4 116× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 628 | 6676 |
| 1 | 1900 | 5885 |
| 2 | 6279 | 5367 |
| 0 | 8114 | 5028 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)) |
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))) |
(* (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) |
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(+ (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)))) |
(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) (* (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))))) |
(pow (sqrt -1) 2) |
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
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(+ (* (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))))) |
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(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(sqrt (/ u1 (+ 1 u1))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
1 |
(+ 1 (* -1/2 u1)) |
(+ 1 (* u1 (- (* 3/8 u1) 1/2))) |
(+ 1 (* u1 (- (* u1 (+ 3/8 (* -5/16 u1))) 1/2))) |
(sqrt (/ 1 u1)) |
(+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 3))))) |
(+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))) |
(+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (+ 1 (* 1/4 u1)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))) |
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -1/4 (/ u1 (pow (sqrt -1) 2))))))) (pow u1 3))) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
1 |
(+ 1 (* 1/2 u1)) |
(+ 1 (* u1 (+ 1/2 (* -1/8 u1)))) |
(+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/16 u1) 1/8))))) |
(sqrt u1) |
(* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* u1 (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))) |
(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))))))))) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6))) |
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))) |
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6))))))) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6))) |
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))) |
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6))))))) |
(+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) |
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))))))) |
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))))))))))) |
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))))))))))))) |
(+ (sqrt -1) (* (pow u2 2) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))))))) (/ 1/2 (* u1 (sqrt -1)))) |
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-98696044010906577398881/5000000000000000000000 |
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) |
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) |
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) |
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) |
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))))) |
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))))) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) |
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) |
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))))) |
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
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(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
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(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(pow u2 2) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
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(sqrt (/ 1 (- (/ 1 u1) 1))) |
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(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) |
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(* (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)))) |
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(sqrt -1) |
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(+ (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) |
(* 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 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 (/ 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)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
(sqrt (/ 1 u1)) |
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(+ (* 1/2 (* (sqrt (pow u1 3)) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) (* (sqrt u1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) |
(+ (* (sqrt u1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))))) |
(+ (* (sqrt u1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (- 1 (* 1/4 (/ 1 u1))) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))))))) |
(* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) |
(+ (* -1/2 (/ (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) |
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))))) |
(* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) |
(+ (* 1/2 (/ (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) u1)) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) (* -3/8 (/ (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) u1))) u1)) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) u1)) (* 3/8 (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) u1)) (* -1/2 (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)))) u1)) (* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000))) |
(* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (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))))))) |
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #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 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 u2 #s(literal 314159265359/50000000000 binary32))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) u1)) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 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 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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 u2 #s(literal 314159265359/50000000000 binary32))) (+.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 u2 #s(literal 314159265359/50000000000 binary32))) (+.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 u2 #s(literal 314159265359/50000000000 binary32))) #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 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.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 u2 #s(literal 314159265359/50000000000 binary32))) (+.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 u2 #s(literal 314159265359/50000000000 binary32))) (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 u2 #s(literal 314159265359/50000000000 binary32))) (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 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.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 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) |
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(sqrt.f32 #s(literal -1 binary32)) |
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(sqrt u1) |
(sqrt.f32 u1) |
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(sqrt -1) |
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(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32))) |
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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))))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) |
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) |
(pow u1 3) |
(*.f32 u1 (*.f32 u1 u1)) |
(* (pow u1 3) (+ 1 (/ 1 u1))) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) (neg.f32 (*.f32 u1 (*.f32 u1 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) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(fma.f32 u1 u1 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) |
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 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)))))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal -1/2 binary32)))) (sqrt.f32 u1)) |
1 |
#s(literal 1 binary32) |
(- 1 (* 1/2 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) |
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) u1)) |
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) u1)) (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (*.f32 u1 u1)))) |
(pow (sqrt -1) 2) |
#s(literal -1 binary32) |
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) u1)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1)) u1)) u1)) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 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)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))) |
(fma.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 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 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/2 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.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 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1))) |
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))) |
(fma.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(+ (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)))))) |
(fma.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) (*.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 u1 u1)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal -5/16 binary32) u1)))) |
(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) |
(neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1) (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(-.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1))) u1)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(-.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (fma.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 #s(literal -3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) (neg.f32 u1))) u1)) |
(sqrt (/ u1 (+ 1 u1))) |
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))) |
(fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (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 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))))) |
(fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.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))))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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 (- (* 3/8 u1) 1/2))) |
(fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u1 (- (* u1 (+ 3/8 (* -5/16 u1))) 1/2))) |
(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.f32 (/.f32 #s(literal 1 binary32) u1)) |
(+ (sqrt (/ 1 u1)) (* -1/2 (sqrt (/ 1 (pow u1 3))))) |
(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))) |
(+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))) |
(fma.f32 #s(literal 1/2 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)))) |
(+ (sqrt (/ 1 u1)) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (+ 1 (* 1/4 u1)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))) |
(fma.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) |
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)) |
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) |
(+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) |
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) |
(+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
(fma.f32 #s(literal 1/2 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)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -1/4 (/ u1 (pow (sqrt -1) 2))))))) (pow u1 3))) (+ (* -1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) |
(-.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1/4 binary32) (/.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (*.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 (+ 1/2 (* -1/8 u1)))) |
(fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/16 u1) 1/8))))) |
(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.f32 u1) |
(* u1 (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3)))))) |
(*.f32 u1 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) |
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))) |
(*.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))) |
(*.f32 u1 (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt.f32 u1) |
(* -1 (* u1 (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 u1)) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))) |
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-98696044010906577398881/5000000000000000000000 |
#s(literal -98696044010906577398881/5000000000000000000000 binary32) |
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) |
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u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
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(* (sqrt -1) (- (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))) 98696044010906577398881/5000000000000000000000)) |
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(* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) |
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (* -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) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) |
(+ (* -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) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(+ (* -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) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))) |
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
| 1× | batch-egg-rewrite |
| 5 522× | lower-fma.f64 |
| 5 512× | lower-fma.f32 |
| 4 290× | lower-*.f64 |
| 4 272× | lower-*.f32 |
| 3 846× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 222 |
| 0 | 88 | 216 |
| 1 | 287 | 194 |
| 2 | 1958 | 192 |
| 0 | 8661 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1) |
(*.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))) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(fma.f32 u1 u1 u1) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 u1 #s(literal 1 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)))) |
(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))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 u2 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.f32 (/.f32 #s(literal 1 binary32) (-.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))) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) |
(*.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)))) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
| Outputs |
|---|
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) |
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1))) |
(exp.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(exp.f32 (*.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) #s(literal 2 binary32))) |
(fabs.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) |
(pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 1 binary32)) |
(pow.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(literal 2 binary32)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32)) |
(pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))) |
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(/.f32 (neg.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (-.f32 (*.f32 u2 (*.f32 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))) (neg.f32 (-.f32 (*.f32 u2 (*.f32 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))))) |
(/.f32 (fma.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (*.f32 (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/1423828125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))) (fma.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (*.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (-.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))) (*.f32 (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) |
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) |
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1)) |
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) |
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) |
(*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))) |
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) |
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) |
(*.f32 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) |
Compiled 10 893 to 1 652 computations (84.8% saved)
55 alts after pruning (48 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 652 | 21 | 673 |
| Fresh | 7 | 27 | 34 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 662 | 55 | 717 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) | |
| 92.9% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) | |
| 88.8% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) | |
| 95.1% | (/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 93.2% | (/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 90.2% | (/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 98.7% | (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 95.2% | (/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 90.3% | (/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 82.7% | (/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 82.8% | (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) | |
| 71.2% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 73.5% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 64.2% | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 64.0% | (*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 75.7% | (*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 65.4% | (*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 98.3% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) | |
| 89.5% | (*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.5% | (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.6% | (*.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))) | |
| 95.5% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 83.1% | (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| ✓ | 99.0% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 95.3% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) | |
| 90.4% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) | |
| 95.3% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) | |
| 93.5% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))) | |
| 90.4% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) | |
| 83.0% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 98.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.1% | (*.f32 (sqrt.f32 (*.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 87.2% | (*.f32 (sqrt.f32 #s(approx (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 91.4% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 88.1% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 86.6% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| 83.6% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) | |
| ✓ | 77.0% | (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| 98.4% | (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 96.4% | (*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 64.1% | (*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 75.8% | (*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 65.4% | (*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 19.6% | (*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 3.5% | (*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) | |
| 92.6% | (*.f32 #s(approx (sqrt (/ u1 (- 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.3% | (exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))) | |
| 70.4% | #s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (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))))) | |
| 71.2% | #s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.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))))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) | |
| ✓ | 64.1% | #s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
| ✓ | 95.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) |
| ✓ | 93.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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))))) |
| 90.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) | |
| ✓ | 83.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| 82.9% | #s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
Compiled 2 559 to 1 010 computations (60.5% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))) |
#s(approx (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (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))))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- (/ 1 (* (+ u1 1) (+ (* u1 u1) 1))) (/ (* u1 (* u1 (* u1 u1))) (* (+ u1 1) (+ (* u1 u1) 1)))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.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))))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) |
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #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 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 #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) #s(literal 1 binary32)))) (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 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 #s(approx (sqrt (/ u1 (- 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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (-.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 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
#s(approx (* (sqrt (/ u1 (- 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))))) |
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.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))))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 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))) (fma.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
(*.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))) |
8 calls:
| 62.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 24.0ms | cosTheta_i |
| 24.0ms | u2 |
| 23.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 22.0ms | (sqrt.f32 (/.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 |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))) |
#s(approx (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (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))))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- (/ 1 (* (+ u1 1) (+ (* u1 u1) 1))) (/ (* u1 (* u1 (* u1 u1))) (* (+ u1 1) (+ (* u1 u1) 1)))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.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))))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) |
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #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 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 #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) #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:
| 40.0ms | u1 |
| 28.0ms | u2 |
| 21.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 19.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 18.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | cosTheta_i |
| 99.0% | 1 | u1 |
| 99.0% | 1 | u2 |
| 99.0% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 99.0% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 99.0% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 99.0% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 99.0% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))) |
#s(approx (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (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))))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- (/ 1 (* (+ u1 1) (+ (* u1 u1) 1))) (/ (* u1 (* u1 (* u1 u1))) (* (+ u1 1) (+ (* u1 u1) 1)))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.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))))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) |
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) |
8 calls:
| 28.0ms | u2 |
| 16.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 16.0ms | u1 |
| 15.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 14.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | u2 |
| 95.6% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 95.6% | 1 | cosTheta_i |
| 95.6% | 1 | u1 |
| 98.7% | 2 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 95.6% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 95.6% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 95.6% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))) |
#s(approx (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (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))))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- (/ 1 (* (+ u1 1) (+ (* u1 u1) 1))) (/ (* u1 (* u1 (* u1 u1))) (* (+ u1 1) (+ (* u1 u1) 1)))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u2 u2) (*.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))))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) |
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 #s(approx (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))))) |
2 calls:
| 13.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 12.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 95.6% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))) |
#s(approx (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (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))))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- (/ 1 (* (+ u1 1) (+ (* u1 u1) 1))) (/ (* u1 (* u1 (* u1 u1))) (* (+ u1 1) (+ (* u1 u1) 1)))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 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 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
8 calls:
| 12.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 12.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 11.0ms | u1 |
| 11.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 11.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 1 | cosTheta_i |
| 95.5% | 1 | u1 |
| 95.5% | 1 | u2 |
| 95.5% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 95.5% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 95.5% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 95.5% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 95.5% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))) |
#s(approx (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (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))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) |
8 calls:
| 21.0ms | u2 |
| 11.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 10.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 10.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 10.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | cosTheta_i |
| 95.3% | 1 | u1 |
| 95.3% | 1 | u2 |
| 95.3% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 95.3% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 95.3% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 95.3% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 95.3% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))) |
#s(approx (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) |
8 calls:
| 12.0ms | cosTheta_i |
| 11.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 10.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 9.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 9.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | cosTheta_i |
| 95.3% | 1 | u1 |
| 95.3% | 1 | u2 |
| 95.3% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 95.3% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 95.3% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 95.3% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 95.3% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))) |
#s(approx (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))) |
8 calls:
| 11.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 9.0ms | u1 |
| 9.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 9.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 9.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 1 | u2 |
| 93.6% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 93.6% | 1 | cosTheta_i |
| 93.6% | 1 | u1 |
| 93.6% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 93.6% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 93.6% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 93.6% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))) |
8 calls:
| 12.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 9.0ms | u1 |
| 9.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 8.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 7.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 1 | cosTheta_i |
| 93.5% | 1 | u1 |
| 93.5% | 1 | u2 |
| 93.5% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 93.5% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 93.5% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 93.5% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 93.5% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
8 calls:
| 10.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 8.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 8.0ms | u1 |
| 7.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 7.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 1 | cosTheta_i |
| 90.5% | 1 | u1 |
| 90.5% | 1 | u2 |
| 90.5% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 90.5% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 90.5% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 90.5% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 90.5% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
8 calls:
| 7.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 6.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 5.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 5.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 4.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 1 | cosTheta_i |
| 89.2% | 2 | u1 |
| 89.1% | 2 | u2 |
| 89.2% | 2 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 89.2% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 89.2% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 89.1% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 89.1% | 2 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ 1 (- (/ 1 u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) |
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ 1 (sqrt (+ u1 1))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
8 calls:
| 5.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 4.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 4.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 4.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 4.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 1 | cosTheta_i |
| 83.0% | 1 | u2 |
| 83.0% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 83.0% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 83.0% | 1 | u1 |
| 83.0% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 83.0% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 83.0% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
8 calls:
| 3.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 2.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 2.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 2.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 2.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.4% | 1 | u2 |
| 65.4% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 65.4% | 1 | cosTheta_i |
| 65.4% | 1 | u1 |
| 65.4% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 65.4% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 65.4% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 65.4% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 56 to 44 computations (21.4% saved)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
8 calls:
| 3.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 2.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 2.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 2.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 2.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.6% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 19.6% | 1 | u1 |
| 19.6% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 19.6% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 19.6% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 19.6% | 1 | u2 |
| 19.6% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 19.6% | 1 | cosTheta_i |
Compiled 56 to 44 computations (21.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
8 calls:
| 2.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 1.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 1.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 1.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 1.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.5% | 1 | u1 |
| 3.5% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 3.5% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 3.5% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 3.5% | 1 | cosTheta_i |
| 3.5% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 3.5% | 1 | u2 |
| 3.5% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 56 to 44 computations (21.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.07323125749826431 | 0.07343578338623047 |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.10962516069412231 | 0.11176146566867828 |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
| 60× | *-commutative_binary32 |
| 20× | +-commutative_binary32 |
| 18× | sub-neg_binary32 |
| 14× | neg-sub0_binary32 |
| 14× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 461 |
| 1 | 133 | 461 |
| 2 | 145 | 461 |
| 3 | 161 | 461 |
| 4 | 173 | 461 |
| 5 | 177 | 461 |
| 6 | 179 | 461 |
| 1× | saturated |
| Inputs |
|---|
(*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 9851581/134217728 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #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)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 7381975/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.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 (neg.f32 (/.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 (/.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 9851581/134217728 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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)))))) |
(if (<=.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 9851581/134217728 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (fma.f32 u1 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #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)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)) #s(approx (cos (* 314159265359/50000000000 u2)) (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 #s(approx (cos (* 314159265359/50000000000 u2)) (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))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.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)) #s(approx (cos (* 314159265359/50000000000 u2)) (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)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))) |
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 7381975/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))) |
(if (<=.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 7381975/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #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)))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) (sqrt.f32 u1))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal 1 binary32))) |
(*.f32 #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) #s(approx (/ (/ 1 (sqrt (+ u1 1))) (/ 1 (sqrt u1))) #s(literal -1 binary32))) |
| 21 824× | lower-fma.f64 |
| 21 824× | lower-fma.f32 |
| 14 728× | lower-fma.f64 |
| 14 728× | lower-fma.f32 |
| 12 600× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 906 |
| 1 | 523 | 815 |
| 2 | 1543 | 747 |
| 3 | 4760 | 699 |
| 0 | 8231 | 673 |
| 0 | 10 | 28 |
| 0 | 16 | 28 |
| 1 | 46 | 28 |
| 2 | 237 | 28 |
| 3 | 1953 | 28 |
| 0 | 9692 | 28 |
| 0 | 40 | 323 |
| 0 | 78 | 305 |
| 1 | 293 | 195 |
| 2 | 2589 | 195 |
| 0 | 9380 | 190 |
| 0 | 628 | 6676 |
| 1 | 1900 | 5885 |
| 2 | 6279 | 5367 |
| 0 | 8114 | 5028 |
| 0 | 42 | 228 |
| 0 | 78 | 252 |
| 1 | 281 | 192 |
| 2 | 1994 | 178 |
| 0 | 9002 | 177 |
| 0 | 677 | 5962 |
| 1 | 2143 | 5155 |
| 2 | 7382 | 5155 |
| 0 | 8304 | 4870 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 616 to 284 computations (53.9% saved)
(abs cosTheta_i)
(abs u2)
Compiled 1 450 to 728 computations (49.8% saved)
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