
Time bar (total: 15.0s)
| 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 39 to 27 computations (30.8% saved)
...c/correct-round.rkt:119:19: 75.0ms (25% of total)ival-mult: 44.0ms (14.7% of total)ival-log: 38.0ms (12.7% of total)ival-<=: 35.0ms (11.7% of total)ival-pi: 27.0ms (9% of total)ival-cos: 22.0ms (7.3% of total)ival-sqrt: 13.0ms (4.3% of total)ival-sub: 12.0ms (4% of total)ival->: 12.0ms (4% of total)ival-and: 9.0ms (3% of total)ival-neg: 9.0ms (3% of total)const: 2.0ms (0.7% of total)backward-pass: 1.0ms (0.3% of total)| 1.8s | 8256× | 0 | valid |
| 1.0ms | 4× | 0 | precondition |
...c/correct-round.rkt:119:19: 368.0ms (26.1% of total)ival-log: 225.0ms (16% of total)ival-mult: 201.0ms (14.3% of total)ival-<=: 166.0ms (11.8% of total)ival-cos: 123.0ms (8.7% of total)ival-sqrt: 82.0ms (5.8% of total)ival-sub: 54.0ms (3.8% of total)ival-pi: 51.0ms (3.6% of total)ival->: 48.0ms (3.4% of total)ival-neg: 41.0ms (2.9% of total)ival-and: 39.0ms (2.8% of total)const: 8.0ms (0.6% of total)backward-pass: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 1672× | fma-define |
| 1668× | fnmadd-define |
| 1174× | sum3-define |
| 716× | fmsub-define |
| 668× | fnmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 135 |
| 1 | 99 | 121 |
| 2 | 191 | 121 |
| 3 | 344 | 121 |
| 4 | 617 | 121 |
| 5 | 1232 | 121 |
| 6 | 1708 | 121 |
| 7 | 2334 | 121 |
| 8 | 3912 | 121 |
| 9 | 4671 | 121 |
| 10 | 4762 | 121 |
| 11 | 4776 | 121 |
| 12 | 4788 | 121 |
| 0 | 13 | 13 |
| 1 | 25 | 12 |
| 2 | 38 | 12 |
| 3 | 48 | 12 |
| 4 | 62 | 12 |
| 5 | 79 | 12 |
| 6 | 101 | 12 |
| 7 | 115 | 12 |
| 8 | 127 | 12 |
| 9 | 128 | 12 |
| 0 | 128 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| Outputs |
|---|
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| Inputs |
|---|
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) |
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))) |
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))) |
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))) |
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))) |
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2))) |
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i))) |
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1))) |
| Outputs |
|---|
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2)))) |
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2)))) |
(* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) |
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1)))) |
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2)))) |
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) u2)))) |
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))) |
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2))))) |
(neg (* (sqrt (neg (log (- 1 (neg u1))))) (cos (* (* 2 (PI)) u2)))) |
(fnmsub (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p u1))) 0) |
(neg (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) (neg u2))))) |
(* (sqrt (neg (log1p (neg u1)))) (neg (cos (* 2 (* (PI) u2))))) |
(* (sqrt (neg (log (- 1 cosTheta_i)))) (cos (* (* 2 (PI)) u2))) |
(* (cos (* 2 (* (PI) u2))) (sqrt (neg (log1p (neg cosTheta_i))))) |
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) cosTheta_i))) |
(* (sqrt (neg (log1p (neg u1)))) (cos (* 2 (* (PI) cosTheta_i)))) |
(* (sqrt (neg (log (- 1 u2)))) (cos (* (* 2 (PI)) u1))) |
(* (sqrt (neg (log1p (neg u2)))) (cos (* u1 (* 2 (PI))))) |
(abs cosTheta_i)
(abs u2)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 209 | 6 | (0.9999725222587585 0.005620001349598169 2.4491234853485366e-6) | 8 | (0.999944806098938 0.018761545419692993 3.170098406002353e-9) | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 0 | 0 | - | 0 | - | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 2 binary32) (PI.f32)) |
| 0 | 0 | - | 0 | - | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 0 | 0 | - | 0 | - | u1 |
| 0 | 0 | - | 0 | - | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 0 | 0 | - | 0 | - | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary32) |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | u2 |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u1) |
| 108.0ms | 512× | 0 | valid |
Compiled 124 to 44 computations (64.5% saved)
ival-log: 35.0ms (47% of total)ival-mult: 11.0ms (14.8% of total)ival-cos: 10.0ms (13.4% of total)ival-pi: 8.0ms (10.7% of total)ival-sub: 3.0ms (4% of total)ival-sqrt: 3.0ms (4% of total)ival-neg: 2.0ms (2.7% of total)const: 1.0ms (1.3% of total)backward-pass: 0.0ms (0% of total)Compiled 15 to 13 computations (13.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ▶ | 54.8% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
Compiled 31 to 27 computations (12.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log1p.f32 (neg.f32 u1)) |
| ✓ | cost-diff | 0 | (neg.f32 (log1p.f32 (neg.f32 u1))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | cost-diff | 32 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| ✓ | cost-diff | 32 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| ✓ | cost-diff | 32 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| ✓ | cost-diff | 32 | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 40× | sum3-define |
| 40× | *-lowering-*.f32 |
| 40× | *-lowering-*.f64 |
| 32× | +-lowering-+.f64 |
| 32× | +-lowering-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 90 |
| 1 | 41 | 90 |
| 2 | 55 | 90 |
| 3 | 65 | 90 |
| 4 | 84 | 90 |
| 5 | 104 | 90 |
| 6 | 121 | 90 |
| 7 | 136 | 90 |
| 8 | 137 | 90 |
| 0 | 137 | 90 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
(sqrt (neg (log (- 1 u1)))) |
(neg (log (- 1 u1))) |
(log (- 1 u1)) |
(- 1 u1) |
1 |
u1 |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2)))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
2 |
(* (PI) u2) |
(PI) |
u2 |
| Outputs |
|---|
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(sqrt (neg (log (- 1 u1)))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (- 1 u1))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (- 1 u1)) |
(log1p.f32 (neg.f32 u1)) |
(- 1 u1) |
(-.f32 #s(literal 1 binary32) u1) |
1 |
#s(literal 1 binary32) |
u1 |
(cos (* (* 2 (PI)) u2)) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(* (* 2 (PI)) u2) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
(* 2 (PI)) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
2 |
#s(literal 2 binary32) |
(PI) |
(PI.f32) |
u2 |
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2)))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (neg u1)))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (neg u1))) |
(log1p.f32 (neg.f32 u1)) |
(neg u1) |
(neg.f32 u1) |
u1 |
(cos (* 2 (* (PI) u2))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(* 2 (* (PI) u2)) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
2 |
#s(literal 2 binary32) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
(PI) |
(PI.f32) |
u2 |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | accuracy | 99.8% | (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
| ✓ | accuracy | 99.6% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | accuracy | 98.9% | (*.f32 (PI.f32) u2) |
| ✓ | accuracy | 99.8% | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| ✓ | accuracy | 99.6% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| ✓ | accuracy | 52.7% | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 65.0ms | 256× | 0 | valid |
Compiled 98 to 23 computations (76.5% saved)
ival-mult: 12.0ms (25.4% of total)ival-log: 10.0ms (21.2% of total)ival-cos: 7.0ms (14.8% of total)compiled-spec: 7.0ms (14.8% of total)ival-sqrt: 4.0ms (8.5% of total)ival-neg: 4.0ms (8.5% of total)ival-sub: 2.0ms (4.2% of total)ival-pi: 1.0ms (2.1% of total)ival-add: 1.0ms (2.1% of total)const: 1.0ms (2.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))> |
#<alt (sqrt (neg (log (- 1 u1))))> |
#<alt (neg (log (- 1 u1)))> |
#<alt (log (- 1 u1))> |
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2))))> |
#<alt (sqrt (neg (log (+ 1 (neg u1)))))> |
#<alt (neg (log (+ 1 (neg u1))))> |
#<alt (log (+ 1 (neg u1)))> |
#<alt (* (* 2 (PI)) u2)> |
#<alt (cos (* (* 2 (PI)) u2))> |
#<alt (* (PI) u2)> |
#<alt (cos (* 2 (* (PI) u2)))> |
| Outputs |
|---|
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))> |
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))> |
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))> |
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))> |
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))> |
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))> |
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))> |
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))> |
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (sqrt u1) (pow (sqrt -1) 2))> |
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))> |
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))> |
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))> |
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))> |
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))> |
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))> |
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))> |
#<alt u1> |
#<alt (* u1 (+ 1 (* 1/2 u1)))> |
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))> |
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))> |
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))> |
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))> |
#<alt (log (/ -1 u1))> |
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))> |
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))> |
#<alt (* -1 u1)> |
#<alt (* u1 (- (* -1/2 u1) 1))> |
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))> |
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))> |
#<alt (* -1 (log (/ -1 u1)))> |
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))> |
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))> |
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))> |
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))> |
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))> |
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))> |
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))> |
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))> |
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))> |
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))> |
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))> |
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))> |
#<alt (* (sqrt u1) (pow (sqrt -1) 2))> |
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))> |
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))> |
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))> |
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))> |
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))> |
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))> |
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))> |
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))> |
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))> |
#<alt u1> |
#<alt (* u1 (+ 1 (* 1/2 u1)))> |
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))> |
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))> |
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))> |
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))> |
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))> |
#<alt (log (/ -1 u1))> |
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))> |
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))> |
#<alt (* -1 u1)> |
#<alt (* u1 (- (* -1/2 u1) 1))> |
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))> |
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))> |
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))> |
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))> |
#<alt (* -1 (log (/ -1 u1)))> |
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))> |
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))> |
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt 1> |
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt 1> |
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
#<alt (cos (* 2 (* u2 (PI))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | u2 | @ | inf | (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| 3.0ms | u1 | @ | 0 | (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| 2.0ms | u2 | @ | 0 | (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| 2.0ms | u1 | @ | inf | (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| 1.0ms | u1 | @ | -inf | (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| 1× | batch-egg-rewrite |
| 2534× | fma-lowering-fma.f32 |
| 2534× | fma-lowering-fma.f64 |
| 1736× | *-lowering-*.f32 |
| 1736× | *-lowering-*.f64 |
| 1582× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 68 |
| 1 | 94 | 68 |
| 2 | 538 | 60 |
| 3 | 4579 | 60 |
| 0 | 8446 | 60 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
(sqrt (neg (log (- 1 u1)))) |
(neg (log (- 1 u1))) |
(log (- 1 u1)) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (PI) u2)))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(* (* 2 (PI)) u2) |
(cos (* (* 2 (PI)) u2)) |
(* (PI) u2) |
(cos (* 2 (* (PI) u2))) |
| Outputs |
|---|
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) |
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) |
(+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) |
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(fma.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))) |
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (neg.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) |
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))))) |
(-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)) |
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)) |
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 4 binary32)) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32)) |
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32))) (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))))) |
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))))) |
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) |
(*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 1 binary32))))) |
(*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)) |
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))) |
(*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))) |
| 1× | egg-herbie |
| 5686× | *-lowering-*.f32 |
| 5686× | *-lowering-*.f64 |
| 3272× | +-lowering-+.f64 |
| 3272× | +-lowering-+.f32 |
| 2386× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 306 | 3514 |
| 1 | 982 | 2874 |
| 2 | 3481 | 2640 |
| 0 | 8034 | 2640 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) |
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1)))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1)))))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(log (/ -1 u1)) |
(- (/ 1 u1) (* -1 (log (/ -1 u1)))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1)))) |
(* -1 u1) |
(* u1 (- (* -1/2 u1) 1)) |
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) |
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 u1)))) |
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1)) |
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1)) |
(* -1 (log (/ -1 u1))) |
(- (* -1 (log (/ -1 u1))) (/ 1 u1)) |
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) |
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) |
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1)))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1)))))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(log (/ -1 u1)) |
(- (/ 1 u1) (* -1 (log (/ -1 u1)))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1)))) |
(* -1 u1) |
(* u1 (- (* -1/2 u1) 1)) |
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) |
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) |
(+ (log -1) (* -1 (log (/ 1 u1)))) |
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1)) |
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1)) |
(* -1 (log (/ -1 u1))) |
(- (* -1 (log (/ -1 u1))) (/ 1 u1)) |
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) |
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
| Outputs |
|---|
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+.f32 (*.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/6 binary32)) #s(literal -1 binary32)))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (*.f32 u1 #s(literal -1/2 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 (*.f32 #s(literal -1/6 binary32) u1) #s(literal -1/4 binary32)))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
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(neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) |
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal -1/2 binary32) u1))) |
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) #s(literal 1 binary32)))) u1)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(-.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/8 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)))) u1))) u1)) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) |
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 u1)) |
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) |
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) |
(log (/ -1 u1)) |
(log.f32 (/.f32 #s(literal -1 binary32) u1)) |
(- (/ 1 u1) (* -1 (log (/ -1 u1)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1)))) |
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1)))) |
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1)) |
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- (* -1/2 u1) 1)) |
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 #s(literal -1/2 binary32)))) |
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) |
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 #s(literal -1/3 binary32)))))) |
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) |
(*.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal -1/3 binary32) (*.f32 u1 #s(literal -1/4 binary32)))))))) |
(+ (log -1) (* -1 (log (/ 1 u1)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) |
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1)) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1))) |
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1))) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1)) |
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/3 binary32) u1)) u1)) u1)) |
(* -1 (log (/ -1 u1))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) |
(- (* -1 (log (/ -1 u1))) (/ 1 u1)) |
(-.f32 (/.f32 #s(literal -1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))) |
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) |
(-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))) |
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) |
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
Compiled 14387 to 1281 computations (91.1% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 20 | 535 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 515 | 22 | 537 |
| Status | Accuracy | Program |
|---|---|---|
| 76.9% | (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 95.5% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 89.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ▶ | 87.3% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 74.6% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))) | |
| 99.0% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 99.0% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))))) | |
| ▶ | 99.0% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
| 98.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)))) | |
| 99.0% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))) | |
| 94.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))) | |
| ▶ | 91.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| 98.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))) | |
| ▶ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))) |
| ✓ | 99.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ▶ | 83.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
| 51.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| ✓ | 54.8% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 49.0% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) | |
| 78.9% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
Compiled 1033 to 711 computations (31.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
| ✓ | cost-diff | 32 | (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) |
| ✓ | cost-diff | 32 | (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) |
| ✓ | cost-diff | 32 | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ✓ | cost-diff | 64 | (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | cost-diff | 64 | (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
| ✓ | cost-diff | 192 | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
| ✓ | cost-diff | 192 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
| ✓ | cost-diff | 0 | (log1p.f32 (neg.f32 u1)) |
| ✓ | cost-diff | 0 | (neg.f32 (log1p.f32 (neg.f32 u1))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | cost-diff | 0 | (log1p.f32 (neg.f32 u1)) |
| ✓ | cost-diff | 0 | (neg.f32 (log1p.f32 (neg.f32 u1))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | cost-diff | 64 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
| ✓ | cost-diff | 9824 | (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) |
| ✓ | cost-diff | 9824 | (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) |
| ✓ | cost-diff | 9824 | (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))))) |
| ✓ | cost-diff | 9824 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))) |
| 3890× | associate-*r* |
| 3410× | *-lowering-*.f32 |
| 3410× | *-lowering-*.f64 |
| 1570× | associate-*l* |
| 1144× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 390 |
| 1 | 121 | 353 |
| 2 | 271 | 290 |
| 3 | 625 | 287 |
| 4 | 1413 | 287 |
| 5 | 1927 | 287 |
| 6 | 2217 | 287 |
| 7 | 2644 | 287 |
| 8 | 2818 | 287 |
| 9 | 3014 | 287 |
| 10 | 3280 | 287 |
| 11 | 3713 | 287 |
| 12 | 4084 | 287 |
| 13 | 4313 | 287 |
| 14 | 4339 | 287 |
| 15 | 4351 | 287 |
| 16 | 4351 | 287 |
| 17 | 5800 | 287 |
| 18 | 5873 | 287 |
| 19 | 5874 | 287 |
| 20 | 6262 | 287 |
| 21 | 6262 | 287 |
| 22 | 6262 | 287 |
| 23 | 7032 | 287 |
| 0 | 7032 | 287 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))) |
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))) |
2 |
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))) |
(pow (PI) 1/3) |
(PI) |
1/3 |
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))) |
(* u2 (pow (PI) 1/3)) |
u2 |
(* (sqrt (neg (log (+ 1 (neg u1))))) 1) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
1 |
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))) |
1 |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
u2 |
(* u2 (* -2 (* (PI) (PI)))) |
(* -2 (* (PI) (PI))) |
-2 |
(* (PI) (PI)) |
(PI) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))) |
1 |
(/ 1 (* 1 (cos (* 2 (* (PI) u2))))) |
(* 1 (cos (* 2 (* (PI) u2)))) |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
2 |
(* (PI) u2) |
(PI) |
u2 |
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2))) |
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) |
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))) |
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))) |
(log (+ 1 (* u1 (* u1 u1)))) |
(* u1 (* u1 u1)) |
u1 |
(* u1 u1) |
(log (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 u1)) |
(+ 1 u1) |
1 |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
| Outputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (neg u1)))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (neg u1))) |
(log1p.f32 (neg.f32 u1)) |
(neg u1) |
(neg.f32 u1) |
u1 |
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
2 |
#s(literal 2 binary32) |
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))) |
(*.f32 (PI.f32) u2) |
(pow (PI) 1/3) |
(pow.f32 (PI.f32) #s(literal 1/3 binary32)) |
(PI) |
(PI.f32) |
1/3 |
#s(literal 1/3 binary32) |
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))) |
(*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) |
(* u2 (pow (PI) 1/3)) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) |
u2 |
(* (sqrt (neg (log (+ 1 (neg u1))))) 1) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (neg u1)))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (neg u1))) |
(log1p.f32 (neg.f32 u1)) |
(neg u1) |
(neg.f32 u1) |
u1 |
1 |
#s(literal 1 binary32) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -2 binary32))))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (neg u1)))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (neg u1))) |
(log1p.f32 (neg.f32 u1)) |
(neg u1) |
(neg.f32 u1) |
u1 |
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -2 binary32)))))) |
1 |
#s(literal 1 binary32) |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (*.f32 u2 #s(literal -2 binary32))))) |
u2 |
(* u2 (* -2 (* (PI) (PI)))) |
(*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) |
(* -2 (* (PI) (PI))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) |
-2 |
#s(literal -2 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI) |
(PI.f32) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (neg u1)))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (neg u1))) |
(log1p.f32 (neg.f32 u1)) |
(neg u1) |
(neg.f32 u1) |
u1 |
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
1 |
#s(literal 1 binary32) |
(/ 1 (* 1 (cos (* 2 (* (PI) u2))))) |
(/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(* 1 (cos (* 2 (* (PI) u2)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(cos (* 2 (* (PI) u2))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(* 2 (* (PI) u2)) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
2 |
#s(literal 2 binary32) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
(PI) |
(PI.f32) |
u2 |
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))))) |
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) |
(sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))) |
(-.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) |
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))) |
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(log (+ 1 (* u1 (* u1 u1)))) |
(log1p.f32 (*.f32 u1 (*.f32 u1 u1))) |
(* u1 (* u1 u1)) |
(*.f32 u1 (*.f32 u1 u1)) |
u1 |
(* u1 u1) |
(*.f32 u1 u1) |
(log (+ 1 (* u1 (+ 1 u1)))) |
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) |
(* u1 (+ 1 u1)) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) |
(+ 1 u1) |
(+.f32 #s(literal 1 binary32) u1) |
1 |
#s(literal 1 binary32) |
(cos (* (* 2 (PI)) u2)) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(* (* 2 (PI)) u2) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
(* 2 (PI)) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
2 |
#s(literal 2 binary32) |
(PI) |
(PI.f32) |
u2 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| ✓ | accuracy | 99.1% | (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) |
| ✓ | accuracy | 99.1% | (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) |
| ✓ | accuracy | 79.5% | (PI.f32) |
| ✓ | accuracy | 99.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
| ✓ | accuracy | 99.4% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
| ✓ | accuracy | 99.2% | (*.f32 (PI.f32) u2) |
| ✓ | accuracy | 79.5% | (PI.f32) |
| ✓ | accuracy | 99.3% | (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
| ✓ | accuracy | 99.1% | (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | accuracy | 97.6% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 79.5% | (PI.f32) |
| ✓ | accuracy | 100.0% | (neg.f32 (log1p.f32 (neg.f32 u1))) |
| ✓ | accuracy | 100.0% | (neg.f32 u1) |
| ✓ | accuracy | 100.0% | (log1p.f32 (neg.f32 u1)) |
| ✓ | accuracy | 99.8% | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | accuracy | 99.5% | (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
| ✓ | accuracy | 99.2% | (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) |
| ✓ | accuracy | 99.1% | (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) |
| ✓ | accuracy | 79.5% | (PI.f32) |
| 132.0ms | 56× | 5 | exit |
| 120.0ms | 73× | 1 | valid |
| 73.0ms | 127× | 0 | valid |
Compiled 392 to 47 computations (88% saved)
ival-mult: 62.0ms (24.8% of total)compiled-spec: 46.0ms (18.4% of total)backward-pass: 44.0ms (17.6% of total)ival-log: 21.0ms (8.4% of total)ival-add: 18.0ms (7.2% of total)ival-cos: 13.0ms (5.2% of total)ival-pow: 11.0ms (4.4% of total)ival-sqrt: 8.0ms (3.2% of total)...c/correct-round.rkt:119:19: 7.0ms (2.8% of total)ival-neg: 7.0ms (2.8% of total)ival-div: 6.0ms (2.4% of total)ival-pi: 2.0ms (0.8% of total)ival-sub: 2.0ms (0.8% of total)const: 1.0ms (0.4% of total)| Inputs |
|---|
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))))> |
#<alt (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))> |
#<alt (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))> |
#<alt (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))> |
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) 1)> |
#<alt (sqrt (neg (log (+ 1 (neg u1)))))> |
#<alt (neg (log (+ 1 (neg u1))))> |
#<alt (log (+ 1 (neg u1)))> |
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))> |
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))))> |
#<alt (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))> |
#<alt (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))> |
#<alt (* 1 (cos (* 2 (* (PI) u2))))> |
#<alt (* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2)))> |
#<alt (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))))> |
#<alt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))> |
#<alt (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))> |
#<alt (PI)> |
#<alt (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))> |
#<alt (* u2 (pow (PI) 1/3))> |
#<alt (neg u1)> |
#<alt (* (PI) (PI))> |
#<alt (* u2 (* -2 (* (PI) (PI))))> |
#<alt (* u2 (* u2 (* -2 (* (PI) (PI)))))> |
#<alt (* (PI) u2)> |
#<alt (log (+ 1 (* u1 (+ 1 u1))))> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* (* 2 (PI)) u2)> |
| Outputs |
|---|
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))> |
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))> |
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))> |
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))> |
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))> |
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#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt u1> |
#<alt (* u1 (+ 1 (* 1/2 u1)))> |
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))> |
#<alt (* -2 (log (/ 1 u1)))> |
#<alt (+ (* -2 (log (/ 1 u1))) (/ 1 u1))> |
#<alt (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))> |
#<alt (- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3))))> |
#<alt (* -2 (log (/ -1 u1)))> |
#<alt (+ (* -2 (log (/ -1 u1))) (/ 1 u1))> |
#<alt (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))> |
#<alt (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))> |
#<alt u1> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 u1))> |
#<alt (* u1 (+ 1 u1))> |
#<alt (pow u1 2)> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (pow u1 2)> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | u2 | @ | inf | (* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2))) |
| 11.0ms | u1 | @ | -inf | (* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2))) |
| 2.0ms | u2 | @ | 0 | (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))) |
| 2.0ms | u2 | @ | 0 | (* u2 (pow (PI) 1/3)) |
| 1.0ms | u2 | @ | 0 | (* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2))) |
| 1× | batch-egg-rewrite |
| 3630× | *-lowering-*.f32 |
| 3630× | *-lowering-*.f64 |
| 2480× | /-lowering-/.f32 |
| 2480× | /-lowering-/.f64 |
| 1456× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 233 |
| 1 | 233 | 156 |
| 2 | 1666 | 145 |
| 0 | 8537 | 145 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))))) |
(cos (* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))))) |
(* 2 (* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))))) |
(* (pow (PI) 1/3) (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))) |
(* (sqrt (neg (log (+ 1 (neg u1))))) 1) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2))))))) |
(/ 1 (/ 1 (* 1 (cos (* 2 (* (PI) u2)))))) |
(/ 1 (* 1 (cos (* 2 (* (PI) u2))))) |
(* 1 (cos (* 2 (* (PI) u2)))) |
(* (sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) (cos (* (* 2 (PI)) u2))) |
(sqrt (neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))))) |
(neg (- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1)))))) |
(- (log (+ 1 (* u1 (* u1 u1)))) (log (+ 1 (* u1 (+ 1 u1))))) |
(PI) |
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))) |
(* u2 (pow (PI) 1/3)) |
(neg u1) |
(* (PI) (PI)) |
(* u2 (* -2 (* (PI) (PI)))) |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
(* (PI) u2) |
(log (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 u1)) |
(* (* 2 (PI)) u2) |
| Outputs |
|---|
(exp.f32 (+.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)) (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(exp.f32 (+.f32 (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)))) |
(exp.f32 (-.f32 (*.f32 (log.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/2 binary32)) (neg.f32 (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) |
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32)) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (/.f32 (*.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 4 binary32)))))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(/.f32 (neg.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(/.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(*.f32 (/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(*.f32 (/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(*.f32 (/.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1/2 binary32)))) |
(neg.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(cos.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) |
(exp.f32 (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32))) |
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))) |
(pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1/2 binary32)) |
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
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(*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)) |
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (*.f32 u2 #s(literal -2 binary32))) (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 #s(literal -2 binary32)))) |
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) |
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 #s(literal -2 binary32))) u2) |
(*.f32 (*.f32 (*.f32 u2 (*.f32 u2 #s(literal -2 binary32))) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) |
(*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u2 #s(literal -2 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) |
(*.f32 (*.f32 u2 (*.f32 u2 #s(literal -2 binary32))) (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) |
(*.f32 (*.f32 #s(literal 1 binary32) u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 #s(literal -2 binary32)))) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 #s(literal -2 binary32)))) u2) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) |
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2)) |
(*.f32 (PI.f32) u2) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) |
(*.f32 u2 (PI.f32)) |
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) |
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) u2)) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) |
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32)) |
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) |
(log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) |
(+.f32 (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))) |
(+.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) |
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) |
(-.f32 (log.f32 (-.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))) |
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+.f32 u1 (*.f32 u1 u1)) |
(+.f32 (*.f32 u1 u1) u1) |
(fma.f32 #s(literal 1 binary32) u1 (*.f32 u1 u1)) |
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1) |
(fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) |
(fma.f32 u1 u1 u1) |
(fma.f32 (neg.f32 u1) (neg.f32 u1) u1) |
(fma.f32 #s(literal -1 binary32) (*.f32 u1 (neg.f32 u1)) u1) |
(fma.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) u1 u1) |
(-.f32 u1 (*.f32 u1 (neg.f32 u1))) |
(-.f32 u1 (*.f32 (neg.f32 u1) u1)) |
(-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 (*.f32 u1 u1))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (-.f32 u1 (*.f32 u1 u1)))) |
(/.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 u1 (*.f32 u1 u1))))) |
(/.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1)) (-.f32 u1 (*.f32 u1 u1))) |
(/.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal 1 binary32) u1)) |
(/.f32 (neg.f32 (+.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1)))) (neg.f32 (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (*.f32 u1 (*.f32 u1 u1)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) u1))) (neg.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (+.f32 #s(literal 1 binary32) u1))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) u1)) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (neg.f32 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) |
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1) |
(*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) u1) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))) |
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)) |
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32))) |
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) |
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) #s(literal 2 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) |
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
| 1× | egg-herbie |
| 6826× | *-lowering-*.f32 |
| 6826× | *-lowering-*.f64 |
| 3490× | +-lowering-+.f64 |
| 3490× | +-lowering-+.f32 |
| 1710× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 659 | 7046 |
| 1 | 2271 | 5647 |
| 0 | 8267 | 5647 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) |
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1)))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
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u1 |
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(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) |
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(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
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(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) |
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) |
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(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1)))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
1 |
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
1 |
(+ 1 (* 2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4 (pow (PI) 4)) (* 2/3 (pow (PI) 4))))) (* -2 (pow (PI) 2))))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -4/45 (pow (PI) 6)) (+ (* 4/3 (pow (PI) 6)) (* 2 (* (pow (PI) 2) (+ (* -4 (pow (PI) 4)) (* 2/3 (pow (PI) 4))))))))) (+ (* -4 (pow (PI) 4)) (* 2/3 (pow (PI) 4))))) (* -2 (pow (PI) 2))))) |
(/ 1 (cos (* 2 (* u2 (PI))))) |
(/ 1 (cos (* 2 (* u2 (PI))))) |
(/ 1 (cos (* 2 (* u2 (PI))))) |
(/ 1 (cos (* 2 (* u2 (PI))))) |
(/ 1 (cos (* 2 (* u2 (PI))))) |
(/ 1 (cos (* 2 (* u2 (PI))))) |
(/ 1 (cos (* 2 (* u2 (PI))))) |
(/ 1 (cos (* 2 (* u2 (PI))))) |
1 |
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(cos (* 2 (* u2 (PI)))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) |
(sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))) |
(+ (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))))) |
(+ (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))))))) |
(+ (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))))))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (* u1 (+ 1 u1)))) (log (+ 1 (pow u1 3)))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -5/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -5/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1)))))))))) |
(sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) |
(+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))) |
(+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))) |
(+ (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))))) |
(sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) |
(+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) |
(+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1))) |
(+ (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1))) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3)))))) |
(- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))) |
(- (+ (* -2 (log (/ 1 u1))) (/ 1 u1)) (* -3 (log (/ 1 u1)))) |
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ 1 u1)))) |
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (* -3 (log (/ 1 u1))) (* 5/3 (/ 1 (pow u1 3))))) |
(- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))) |
(- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (+ (log -1) (* -3 (log (/ -1 u1))))) |
(- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))) |
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 5/3 (/ 1 u1))) u1)) 1) u1))) (+ (log -1) (* -3 (log (/ -1 u1))))) |
(* -1 u1) |
(* u1 (- (* -1/2 u1) 1)) |
(* u1 (- (* u1 (- (* 5/3 u1) 1/2)) 1)) |
(* u1 (- (* u1 (- (* u1 (+ 5/3 (* -1/4 u1))) 1/2)) 1)) |
(- (* -3 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))) |
(- (* -3 (log (/ 1 u1))) (+ (* -2 (log (/ 1 u1))) (/ 1 u1))) |
(- (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) (* -2 (log (/ 1 u1)))) |
(- (+ (* -3 (log (/ 1 u1))) (* 5/3 (/ 1 (pow u1 3)))) (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))) |
(- (+ (log -1) (* -3 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))) |
(- (+ (log -1) (* -3 (log (/ -1 u1)))) (+ (* -2 (log (/ -1 u1))) (/ 1 u1))) |
(- (+ (log -1) (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -2 (log (/ -1 u1)))) |
(- (+ (log -1) (+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- (* 5/3 (/ 1 u1)) 1/2) u1))) u1)))) (* -2 (log (/ -1 u1)))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (pow (PI) 2))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* u2 (cbrt (PI))) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3)))))) |
(* -2 (log (/ 1 u1))) |
(+ (* -2 (log (/ 1 u1))) (/ 1 u1)) |
(+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) |
(- (+ (* -2 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* 2/3 (/ 1 (pow u1 3)))) |
(* -2 (log (/ -1 u1))) |
(+ (* -2 (log (/ -1 u1))) (/ 1 u1)) |
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) |
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 u1)) |
(pow u1 2) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(pow u1 2) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
| Outputs |
|---|
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32)))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
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1 |
#s(literal 1 binary32) |
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1 |
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(cos (* 2 (* u2 (PI)))) |
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1 |
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1 |
#s(literal 1 binary32) |
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(cos (* 2 (* u2 (PI)))) |
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(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) |
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32))) |
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1))) |
(-.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -2/3 binary32) u1)) (neg.f32 u1))) u1)) |
u1 |
(* u1 (+ 1 u1)) |
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
(* u1 (+ 1 u1)) |
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
(* u1 (+ 1 u1)) |
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32))) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
Compiled 58144 to 5072 computations (91.3% saved)
41 alts after pruning (37 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1919 | 29 | 1948 |
| Fresh | 7 | 8 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1929 | 41 | 1970 |
| Status | Accuracy | Program |
|---|---|---|
| 68.2% | (pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) | |
| 83.3% | (+.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))))) | |
| 90.0% | (*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 90.3% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))) | |
| ▶ | 88.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| 95.5% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 81.6% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) | |
| 93.6% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) | |
| 86.9% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 93.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 80.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) | |
| 89.7% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) | |
| 83.5% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 89.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 77.3% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) | |
| 83.9% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32)) | |
| ▶ | 74.6% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 48.5% | (*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 46.3% | (*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) | |
| 97.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32))) | |
| 97.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1/2 binary32))) | |
| 98.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32))) | |
| 99.0% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 99.0% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))))) | |
| ▶ | 91.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
| 98.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))))) | |
| 90.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))) | |
| ▶ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
| 94.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))))) | |
| ✓ | 91.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | 99.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | 83.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
| 51.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| ✓ | 54.8% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 49.0% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) | |
| 78.8% | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) | |
| 73.8% | (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 3.7% | (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) | |
| 78.9% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 69.6% | (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) | |
| ▶ | 3.9% | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
Compiled 1795 to 1274 computations (29% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) |
| ✓ | cost-diff | 32 | (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) |
| ✓ | cost-diff | 32 | (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) |
| ✓ | cost-diff | 32 | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ✓ | cost-diff | 0 | (neg.f32 (log1p.f32 (neg.f32 u1))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | cost-diff | 128 | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
| ✓ | cost-diff | 128 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) |
| ✓ | cost-diff | 0 | (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | cost-diff | 0 | (sqrt.f32 u1) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (neg.f32 (log1p.f32 (neg.f32 u1))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | cost-diff | 32 | (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))) |
| ✓ | cost-diff | 32 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
| 2728× | fma-lowering-fma.f32 |
| 2728× | fma-lowering-fma.f64 |
| 1738× | *-lowering-*.f32 |
| 1738× | *-lowering-*.f64 |
| 1718× | fmm-def |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 415 |
| 1 | 151 | 367 |
| 2 | 398 | 361 |
| 3 | 1148 | 353 |
| 4 | 2225 | 353 |
| 5 | 3692 | 353 |
| 6 | 5333 | 353 |
| 7 | 7114 | 353 |
| 0 | 8039 | 353 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))) |
(+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) |
1/2 |
(* 1/2 (cos (* 2 (* (PI) u2)))) |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
2 |
(* (PI) u2) |
(PI) |
u2 |
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2))) |
(neg (sin (* (PI) u2))) |
(sin (* (PI) u2)) |
(* (sqrt u1) -1) |
(sqrt u1) |
u1 |
-1 |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
u1 |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) |
1 |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) |
1/2 |
(* u1 (+ 1/3 (* u1 1/4))) |
(+ 1/3 (* u1 1/4)) |
1/3 |
(* u1 1/4) |
1/4 |
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))) |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
u2 |
(* u2 (* -2 (* (PI) (PI)))) |
(* -2 (* (PI) (PI))) |
-2 |
(* (PI) (PI)) |
(PI) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))) |
1 |
(/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))) |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
u2 |
(* u2 (* -2 (* (PI) (PI)))) |
(* -2 (* (PI) (PI))) |
-2 |
(* (PI) (PI)) |
(PI) |
(* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) |
(sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) |
(neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))) |
(- (log (+ 1 (* u1 u1))) (log (+ 1 u1))) |
(log (+ 1 (* u1 u1))) |
(* u1 u1) |
u1 |
(log (+ 1 u1)) |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
| Outputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (neg u1)))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (neg u1))) |
(log1p.f32 (neg.f32 u1)) |
(neg u1) |
(neg.f32 u1) |
u1 |
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))) |
(+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))) |
(+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) |
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
1/2 |
#s(literal 1/2 binary32) |
(* 1/2 (cos (* 2 (* (PI) u2)))) |
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(cos (* 2 (* (PI) u2))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(* 2 (* (PI) u2)) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
2 |
#s(literal 2 binary32) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
(PI) |
(PI.f32) |
u2 |
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2))) |
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))) |
(neg (sin (* (PI) u2))) |
(neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) |
(sin (* (PI) u2)) |
(sin.f32 (*.f32 (PI.f32) u2)) |
(* (sqrt u1) -1) |
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) |
(sqrt u1) |
(sqrt.f32 u1) |
u1 |
-1 |
#s(literal -1 binary32) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
u1 |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) |
1 |
#s(literal 1 binary32) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) |
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) |
1/2 |
#s(literal 1/2 binary32) |
(* u1 (+ 1/3 (* u1 1/4))) |
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) |
(+ 1/3 (* u1 1/4)) |
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
1/3 |
#s(literal 1/3 binary32) |
(* u1 1/4) |
(*.f32 u1 #s(literal 1/4 binary32)) |
1/4 |
#s(literal 1/4 binary32) |
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) |
u2 |
(* u2 (* -2 (* (PI) (PI)))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* (PI) (PI))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) |
-2 |
#s(literal -2 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI) |
(PI.f32) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (neg u1)))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (neg u1))) |
(log1p.f32 (neg.f32 u1)) |
(neg u1) |
(neg.f32 u1) |
u1 |
(/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) |
1 |
#s(literal 1 binary32) |
(/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))) |
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) |
u2 |
(* u2 (* -2 (* (PI) (PI)))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* (PI) (PI))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) |
-2 |
#s(literal -2 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI) |
(PI.f32) |
(* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) |
(sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) |
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) |
(neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))) |
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) |
(- (log (+ 1 (* u1 u1))) (log (+ 1 u1))) |
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) |
(log (+ 1 (* u1 u1))) |
(log1p.f32 (*.f32 u1 u1)) |
(* u1 u1) |
(*.f32 u1 u1) |
u1 |
(log (+ 1 u1)) |
(log1p.f32 u1) |
(cos (* (* 2 (PI)) u2)) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(* (* 2 (PI)) u2) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
(* 2 (PI)) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
2 |
#s(literal 2 binary32) |
(PI) |
(PI.f32) |
u2 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) |
| ✓ | accuracy | 99.6% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ✓ | accuracy | 99.4% | (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) |
| ✓ | accuracy | 98.9% | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| ✓ | accuracy | 99.2% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
| ✓ | accuracy | 99.1% | (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
| ✓ | accuracy | 98.9% | (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 99.1% | (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
| ✓ | accuracy | 99.0% | (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
| ✓ | accuracy | 98.9% | (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 100.0% | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
| ✓ | accuracy | 100.0% | (sqrt.f32 u1) |
| ✓ | accuracy | 99.6% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
| ✓ | accuracy | 99.3% | (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))) |
| ✓ | accuracy | 98.9% | (*.f32 (PI.f32) u2) |
| ✓ | accuracy | 98.4% | (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) |
| 136.0ms | 205× | 0 | valid |
| 76.0ms | 51× | 1 | valid |
Compiled 450 to 55 computations (87.8% saved)
ival-mult: 43.0ms (27.1% of total)compiled-spec: 25.0ms (15.7% of total)ival-add: 22.0ms (13.9% of total)ival-log: 16.0ms (10.1% of total)ival-sqrt: 10.0ms (6.3% of total)backward-pass: 10.0ms (6.3% of total)ival-neg: 8.0ms (5% of total)ival-cos: 7.0ms (4.4% of total)...c/correct-round.rkt:119:19: 5.0ms (3.1% of total)ival-div: 4.0ms (2.5% of total)ival-sin: 4.0ms (2.5% of total)const: 2.0ms (1.3% of total)ival-sub: 2.0ms (1.3% of total)ival-pi: 1.0ms (0.6% of total)| Inputs |
|---|
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))> |
#<alt (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))> |
#<alt (sqrt (neg (log (+ 1 (neg u1)))))> |
#<alt (neg (log (+ 1 (neg u1))))> |
#<alt (* (sqrt u1) -1)> |
#<alt (sqrt u1)> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))> |
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))> |
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))> |
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))))> |
#<alt (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))))> |
#<alt (* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2)))> |
#<alt (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))))> |
#<alt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))> |
#<alt (- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))> |
#<alt (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))> |
#<alt (* (PI) u2)> |
#<alt (* (PI) (PI))> |
#<alt (* u2 (* -2 (* (PI) (PI))))> |
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))> |
#<alt (* u2 (* u2 (* -2 (* (PI) (PI)))))> |
#<alt (* (* 2 (PI)) u2)> |
| Outputs |
|---|
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))> |
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))> |
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))> |
#<alt (+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))> |
#<alt (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))> |
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))> |
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))> |
#<alt (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))> |
#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))> |
#<alt (+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))> |
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))> |
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))> |
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#<alt (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))> |
#<alt (+ (* -1/2 (* (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/2 (* (/ (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))> |
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))> |
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))> |
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))> |
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))> |
#<alt (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))> |
#<alt (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))> |
#<alt (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))> |
#<alt (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))> |
#<alt (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))> |
#<alt (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))> |
#<alt (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))> |
#<alt (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (+ (* -3/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))> |
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -3/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))> |
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -3/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 9/16 (/ 1 u1)))))))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))> |
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))))> |
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))> |
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))> |
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))> |
#<alt (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))> |
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))))> |
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))))))> |
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))> |
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 9/16 (/ 1 u1))))))))))> |
#<alt (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))> |
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))))> |
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))))))> |
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))))))> |
#<alt (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))> |
#<alt (+ (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))))> |
#<alt (+ (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)))> |
#<alt (+ (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) u1)))> |
#<alt u1> |
#<alt (* u1 (+ 1 (* -3/2 u1)))> |
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2))))> |
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* 1/4 u1))) 3/2))))> |
#<alt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))> |
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (* -2 (log (/ 1 u1))))> |
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))))> |
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))) (* -2 (log (/ -1 u1))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))) (* -2 (log (/ -1 u1))))> |
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))) (* -2 (log (/ -1 u1))))> |
#<alt (* -1 u1)> |
#<alt (* u1 (- (* 3/2 u1) 1))> |
#<alt (* u1 (- (* u1 (+ 3/2 (* -1/3 u1))) 1))> |
#<alt (* u1 (- (* u1 (+ 3/2 (* u1 (- (* -1/4 u1) 1/3)))) 1))> |
#<alt (- (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1))))> |
#<alt (- (* -2 (log (/ 1 u1))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))> |
#<alt (- (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))> |
#<alt (- (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))))> |
#<alt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (- (* -2 (log (/ -1 u1))) (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))))> |
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- 1 (* 3/2 (/ 1 u1))) u1))) (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 1/3 (/ 1 u1))) u1))) u1))) (+ (log -1) (* -1 (log (/ -1 u1)))))> |
#<alt (* -1 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4)))))> |
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4))))))> |
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))))> |
#<alt (* -1 (pow (sin (* u2 (PI))) 2))> |
#<alt (* -1 (pow (sin (* u2 (PI))) 2))> |
#<alt (* -1 (pow (sin (* u2 (PI))) 2))> |
#<alt (* -1 (pow (sin (* u2 (PI))) 2))> |
#<alt (* -1 (pow (sin (* u2 (PI))) 2))> |
#<alt (* -1 (pow (sin (* u2 (PI))) 2))> |
#<alt (* -1 (pow (sin (* u2 (PI))) 2))> |
#<alt (* -1 (pow (sin (* u2 (PI))) 2))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* u2 (PI))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* -2 (* u2 (pow (PI) 2)))> |
#<alt (* 1/2 u1)> |
#<alt (* u1 (+ 1/2 (* 1/3 u1)))> |
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))> |
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))> |
#<alt (* 1/4 (pow u1 3))> |
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))> |
#<alt (* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))> |
#<alt (* 1/4 (pow u1 3))> |
#<alt (* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))> |
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | u2 | @ | inf | (* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) |
| 37.0ms | u2 | @ | -inf | (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))) |
| 4.0ms | u2 | @ | 0 | (* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) |
| 3.0ms | u1 | @ | inf | (* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) |
| 1.0ms | u2 | @ | inf | (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))) |
| 1× | batch-egg-rewrite |
| 2796× | *-lowering-*.f32 |
| 2796× | *-lowering-*.f64 |
| 2554× | fma-lowering-fma.f32 |
| 2554× | fma-lowering-fma.f64 |
| 1784× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 239 |
| 1 | 307 | 185 |
| 2 | 2544 | 178 |
| 0 | 8269 | 178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))) |
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(* (sqrt u1) -1) |
(sqrt u1) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))))) |
(/ 1 (/ 1 (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))) |
(* (sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) |
(sqrt (neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1))))) |
(neg (- (log (+ 1 (* u1 u1))) (log (+ 1 u1)))) |
(- (log (+ 1 (* u1 u1))) (log (+ 1 u1))) |
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2))) |
(* (PI) u2) |
(* (PI) (PI)) |
(* u2 (* -2 (* (PI) (PI)))) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
(* (* 2 (PI)) u2) |
| Outputs |
|---|
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) |
(fma.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (PI.f32) u2))) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))) (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)))) |
(-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32))) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))) #s(literal 1 binary32)) |
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) |
(/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) #s(literal 1/2 binary32))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(cos.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) |
(+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 1/2 binary32)) |
(+.f32 (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(pow.f32 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
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(*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) |
(*.f32 (*.f32 #s(literal 1 binary32) u2) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2))) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2))) u2) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) |
(*.f32 (*.f32 u2 (*.f32 u2 #s(literal -2 binary32))) (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)) |
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)) |
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))) |
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) |
| 1× | egg-herbie |
| 7162× | *-lowering-*.f32 |
| 7162× | *-lowering-*.f64 |
| 4988× | +-lowering-+.f64 |
| 4988× | +-lowering-+.f32 |
| 1624× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 808 | 7337 |
| 1 | 2881 | 5716 |
| 0 | 8436 | 5716 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))))))) |
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1)))))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(log (/ -1 u1)) |
(- (/ 1 u1) (* -1 (log (/ -1 u1)))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1)))) |
(* -1 (sqrt u1)) |
(* -1 (sqrt u1)) |
(* -1 (sqrt u1)) |
(* -1 (sqrt u1)) |
(* -1 (sqrt u1)) |
(* -1 (sqrt u1)) |
(* -1 (sqrt u1)) |
(* -1 (sqrt u1)) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) |
(+ (* 1/4 (* (sqrt (pow u1 3)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) |
(+ (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/2 (* (sqrt u1) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/4 (* 1/16 (/ 1 u1))))))))))) |
(* 1/2 (* (pow u1 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) |
(* (pow u1 2) (+ (* 1/3 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1)) (* 1/2 (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1)) (+ (* 7/18 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow u1 2))) (* 1/2 (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1)) (+ (* 7/18 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow u1 2))) (+ (* 1/2 (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* 20/27 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow u1 3))))))) |
(* (pow u1 2) (* (sqrt -1) (* (sqrt -1/4) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(* (pow u1 2) (+ (* -1/6 (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* u1 (sqrt -1/4)))) (* (sqrt -1) (* (sqrt -1/4) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (* (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (* (sqrt -1/4) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (* (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1/4)))) u1)) (* (sqrt -1) (* (sqrt -1/4) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))) |
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2)))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2)))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1)))))))))) |
(* 1/2 (pow u1 2)) |
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3))))))) |
(* (pow u1 2) (* (sqrt -1) (sqrt -1/4))) |
(* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4)))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4)))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4)))) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) |
(* 1/4 (pow u1 4)) |
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))) |
(* 1/4 (pow u1 4)) |
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1)))) |
1 |
(+ 1 (* 1/2 u1)) |
(+ 1 (* u1 (+ 1/2 (* 1/3 u1)))) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))) |
(* 1/4 (pow u1 3)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))) |
(* 1/4 (pow u1 3)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))) |
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* -1/6 (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))))) |
(* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) |
(+ (* -1/2 (* (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/2 (* (/ (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1)))))) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow u2 2)))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(+ (* -3/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -3/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -3/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 9/16 (/ 1 u1))))))))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) |
(sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))) |
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))))) |
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))))))) |
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))))))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (pow u1 2)))))) |
(sqrt u1) |
(+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 9/16 (/ 1 u1)))))))))) |
(sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))) |
(+ (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))))) |
(+ (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))))) |
(+ (sqrt (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))) (+ (* -1/2 (* (/ (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))))))) (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 3/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1))))))))))) |
(sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) |
(+ (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) |
(+ (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1))) |
(+ (sqrt (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 3/2 (* 1/4 (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))))))) u1))) |
u1 |
(* u1 (+ 1 (* -3/2 u1))) |
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 3/2)))) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* 1/4 u1))) 3/2)))) |
(- (* -1 (log (/ 1 u1))) (* -2 (log (/ 1 u1)))) |
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (* -2 (log (/ 1 u1)))) |
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2)))) |
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2)))) |
(- (+ (log -1) (* -1 (log (/ -1 u1)))) (* -2 (log (/ -1 u1)))) |
(- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))) (* -2 (log (/ -1 u1)))) |
(- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 3/2 (/ 1 u1)) 1) u1)))) (* -2 (log (/ -1 u1)))) |
(- (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 3/2) u1)) 1) u1)))) (* -2 (log (/ -1 u1)))) |
(* -1 u1) |
(* u1 (- (* 3/2 u1) 1)) |
(* u1 (- (* u1 (+ 3/2 (* -1/3 u1))) 1)) |
(* u1 (- (* u1 (+ 3/2 (* u1 (- (* -1/4 u1) 1/3)))) 1)) |
(- (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1)))) |
(- (* -2 (log (/ 1 u1))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1))) |
(- (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1))) |
(- (+ (* -2 (log (/ 1 u1))) (/ 3/2 (pow u1 2))) (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) |
(- (* -2 (log (/ -1 u1))) (+ (log -1) (* -1 (log (/ -1 u1))))) |
(- (* -2 (log (/ -1 u1))) (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))) |
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- 1 (* 3/2 (/ 1 u1))) u1))) (+ (log -1) (* -1 (log (/ -1 u1))))) |
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 1/3 (/ 1 u1))) u1))) u1))) (+ (log -1) (* -1 (log (/ -1 u1))))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4)))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* 1/2 u1) |
(* u1 (+ 1/2 (* 1/3 u1))) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) |
(* 1/4 (pow u1 3)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* 1/4 (pow u1 3)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
| Outputs |
|---|
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(*.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))))) |
(+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))))))) |
(+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 u1 (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))))))) |
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1)))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 u1))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 u1))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))))) |
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) |
(+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) u1))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1)))) u1)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))))) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)))) u1)) u1)) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) |
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(* (sqrt u1) (pow (sqrt -1) 2)) |
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(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) |
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(sqrt u1) |
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(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4)))))) |
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (PI.f32) (PI.f32)))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))))) |
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32))))))) (*.f32 (PI.f32) (PI.f32)))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(* 1/2 u1) |
(*.f32 u1 #s(literal 1/2 binary32)) |
(* u1 (+ 1/2 (* 1/3 u1))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
(* 1/4 (pow u1 3)) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/4 binary32)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) |
(* 1/4 (pow u1 3)) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1/4 binary32)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))) |
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))) |
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
Compiled 27907 to 2643 computations (90.5% saved)
65 alts after pruning (59 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 869 | 32 | 901 |
| Fresh | 5 | 27 | 32 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 877 | 65 | 942 |
| Status | Accuracy | Program |
|---|---|---|
| 88.3% | (/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))) | |
| 88.4% | (/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) | |
| 3.9% | (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) | |
| ▶ | 88.4% | (*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| 90.0% | (*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 14.7% | (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 21.1% | (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 18.3% | (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 14.2% | (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 14.7% | (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) | |
| 21.1% | (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) | |
| 18.3% | (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| ▶ | 14.2% | (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
| 88.4% | (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 88.6% | (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 90.3% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))) | |
| 88.2% | (*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 88.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 88.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 88.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)))) | |
| 88.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) | |
| 88.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))))) | |
| 95.5% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 86.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 93.6% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) | |
| 86.9% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| ▶ | 93.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 80.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) | |
| 83.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 89.7% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) | |
| 89.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) | |
| 83.5% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 89.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 77.3% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) | |
| 74.3% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 88.1% | (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 88.3% | (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 48.5% | (*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 46.3% | (*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) | |
| 97.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32))) | |
| 97.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1/2 binary32))) | |
| 99.0% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 91.4% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) #s(literal 1 binary32)))) | |
| 99.0% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))))) | |
| ✓ | 91.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
| 98.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))))) | |
| 90.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))) | |
| ▶ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
| 94.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))))) | |
| ✓ | 91.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | 99.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | 83.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
| 51.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| ✓ | 54.8% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 49.0% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) | |
| 73.8% | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 78.8% | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) | |
| 73.8% | (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) | |
| 73.8% | (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 3.7% | (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) | |
| 78.9% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 69.6% | (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) | |
| ✓ | 3.9% | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
| 3.9% | (*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) | |
| ▶ | 81.6% | (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
Compiled 3490 to 2370 computations (32.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
| ✓ | cost-diff | 0 | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ✓ | cost-diff | 0 | (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
| ✓ | cost-diff | 0 | (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | cost-diff | 0 | (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) |
| ✓ | cost-diff | 0 | (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
| ✓ | cost-diff | 0 | (*.f32 u1 u1) |
| ✓ | cost-diff | 32 | (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
| ✓ | cost-diff | 0 | (neg.f32 (log1p.f32 (neg.f32 u1))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | cost-diff | 32 | (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))) |
| ✓ | cost-diff | 32 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
| 3570× | *-lowering-*.f32 |
| 3570× | *-lowering-*.f64 |
| 2178× | +-lowering-+.f64 |
| 2178× | +-lowering-+.f32 |
| 1630× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 34359738780 |
| 1 | 184 | 34359738726 |
| 2 | 551 | 34359738715 |
| 3 | 1764 | 34359738711 |
| 4 | 6597 | 34359738711 |
| 5 | 7645 | 34359738711 |
| 0 | 8002 | 456 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))) |
(+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) |
1/2 |
(* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))))) |
(cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))) |
(* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))) |
2 |
(* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)) |
(pow (PI) 2/3) |
(PI) |
2/3 |
(* (pow (PI) 1/3) u2) |
(pow (PI) 1/3) |
1/3 |
u2 |
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2))) |
(neg (sin (* (PI) u2))) |
(sin (* (PI) u2)) |
(* (PI) u2) |
(* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI)))))) |
(* u1 u1) |
u1 |
(+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI))))) |
1/2 |
(* (* u2 u2) (- 0 (* (PI) (PI)))) |
(* u2 u2) |
u2 |
(- 0 (* (PI) (PI))) |
0 |
(* (PI) (PI)) |
(PI) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
u1 |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) |
1 |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) |
1/2 |
(* u1 (+ 1/3 (* u1 1/4))) |
(+ 1/3 (* u1 1/4)) |
1/3 |
(* u1 1/4) |
1/4 |
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) |
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
u1 |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) |
1 |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) |
1/2 |
(* u1 (+ 1/3 (* u1 1/4))) |
(+ 1/3 (* u1 1/4)) |
1/3 |
(* u1 1/4) |
1/4 |
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))) |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
u2 |
(* u2 (* -2 (* (PI) (PI)))) |
(* -2 (* (PI) (PI))) |
-2 |
(* (PI) (PI)) |
(PI) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2))) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) |
u1 |
(+ 1 (* u1 (+ 1/2 (* u1 1/3)))) |
1 |
(* u1 (+ 1/2 (* u1 1/3))) |
(+ 1/2 (* u1 1/3)) |
1/2 |
(* u1 1/3) |
1/3 |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
| Outputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (neg u1)))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (neg u1))) |
(log1p.f32 (neg.f32 u1)) |
(neg u1) |
(neg.f32 u1) |
u1 |
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))) |
(+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))) |
(+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) |
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) |
1/2 |
#s(literal 1/2 binary32) |
(* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))))) |
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))))) |
(cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))) |
(cos.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))) |
(* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2))) |
2 |
#s(literal 2 binary32) |
(* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) |
(pow (PI) 2/3) |
(pow.f32 (PI.f32) #s(literal 2/3 binary32)) |
(PI) |
(PI.f32) |
2/3 |
#s(literal 2/3 binary32) |
(* (pow (PI) 1/3) u2) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) |
(pow (PI) 1/3) |
(pow.f32 (PI.f32) #s(literal 1/3 binary32)) |
1/3 |
#s(literal 1/3 binary32) |
u2 |
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2))) |
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))) |
(neg (sin (* (PI) u2))) |
(neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) |
(sin (* (PI) u2)) |
(sin.f32 (*.f32 (PI.f32) u2)) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
(* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI)))))) |
(*.f32 u1 (*.f32 u1 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))) |
(* u1 u1) |
(*.f32 u1 u1) |
u1 |
(+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI))))) |
(-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) |
1/2 |
#s(literal 1/2 binary32) |
(* (* u2 u2) (- 0 (* (PI) (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) |
(* u2 u2) |
(*.f32 u2 u2) |
u2 |
(- 0 (* (PI) (PI))) |
(neg.f32 (*.f32 (PI.f32) (PI.f32))) |
0 |
#s(literal 0 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI) |
(PI.f32) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
u1 |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) |
1 |
#s(literal 1 binary32) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) |
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) |
1/2 |
#s(literal 1/2 binary32) |
(* u1 (+ 1/3 (* u1 1/4))) |
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) |
(+ 1/3 (* u1 1/4)) |
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
1/3 |
#s(literal 1/3 binary32) |
(* u1 1/4) |
(*.f32 u1 #s(literal 1/4 binary32)) |
1/4 |
#s(literal 1/4 binary32) |
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))) |
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) |
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) |
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
u1 |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) |
1 |
#s(literal 1 binary32) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
(+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) |
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) |
1/2 |
#s(literal 1/2 binary32) |
(* u1 (+ 1/3 (* u1 1/4))) |
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) |
(+ 1/3 (* u1 1/4)) |
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
1/3 |
#s(literal 1/3 binary32) |
(* u1 1/4) |
(*.f32 u1 #s(literal 1/4 binary32)) |
1/4 |
#s(literal 1/4 binary32) |
(+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) |
(* u2 (* u2 (* -2 (* (PI) (PI))))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) |
u2 |
(* u2 (* -2 (* (PI) (PI)))) |
(*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))) |
(* -2 (* (PI) (PI))) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) |
-2 |
#s(literal -2 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI) |
(PI.f32) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))) |
u1 |
(+ 1 (* u1 (+ 1/2 (* u1 1/3)))) |
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) |
1 |
#s(literal 1 binary32) |
(* u1 (+ 1/2 (* u1 1/3))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) |
(+ 1/2 (* u1 1/3)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(* u1 1/3) |
(*.f32 u1 #s(literal 1/3 binary32)) |
1/3 |
#s(literal 1/3 binary32) |
(cos (* (* 2 (PI)) u2)) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(* (* 2 (PI)) u2) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
(* 2 (PI)) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
2 |
#s(literal 2 binary32) |
(PI) |
(PI.f32) |
u2 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) |
| ✓ | accuracy | 99.0% | (*.f32 u1 #s(literal 1/3 binary32)) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| ✓ | accuracy | 98.9% | (PI.f32) |
| ✓ | accuracy | 98.9% | (PI.f32) |
| ✓ | accuracy | 98.9% | (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | accuracy | 98.7% | (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 99.2% | (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) |
| ✓ | accuracy | 99.2% | (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
| ✓ | accuracy | 99.1% | (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
| ✓ | accuracy | 99.0% | (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
| ✓ | accuracy | 98.9% | (PI.f32) |
| ✓ | accuracy | 98.5% | (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 98.9% | (PI.f32) |
| ✓ | accuracy | 98.4% | (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) |
| ✓ | accuracy | 98.3% | (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) |
| ✓ | accuracy | 96.9% | (pow.f32 (PI.f32) #s(literal 2/3 binary32)) |
| 214.0ms | 253× | 0 | valid |
| 9.0ms | 3× | 5 | exit |
Compiled 620 to 63 computations (89.8% saved)
ival-mult: 60.0ms (42.7% of total)ival-pow: 21.0ms (14.9% of total)ival-add: 13.0ms (9.2% of total)...c/correct-round.rkt:119:19: 8.0ms (5.7% of total)compiled-spec: 8.0ms (5.7% of total)ival-cos: 6.0ms (4.3% of total)ival-sqrt: 6.0ms (4.3% of total)ival-log: 6.0ms (4.3% of total)ival-neg: 4.0ms (2.8% of total)ival-sin: 3.0ms (2.1% of total)backward-pass: 2.0ms (1.4% of total)ival-sub: 1.0ms (0.7% of total)const: 1.0ms (0.7% of total)ival-pi: 1.0ms (0.7% of total)| Inputs |
|---|
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))))> |
#<alt (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))> |
#<alt (sqrt (neg (log (+ 1 (neg u1)))))> |
#<alt (neg (log (+ 1 (neg u1))))> |
#<alt (* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI))))))> |
#<alt (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI)))))> |
#<alt (- 0 (* (PI) (PI)))> |
#<alt (* u1 u1)> |
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))> |
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))> |
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))> |
#<alt (* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI)))))))> |
#<alt (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4)> |
#<alt (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))))> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2)))> |
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))))> |
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))> |
#<alt (+ 1 (* u1 (+ 1/2 (* u1 1/3))))> |
#<alt (pow (PI) 2/3)> |
#<alt (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2))> |
#<alt (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))> |
#<alt (PI)> |
#<alt (* (PI) (PI))> |
#<alt (* (* u2 u2) (- 0 (* (PI) (PI))))> |
#<alt (+ 1/3 (* u1 1/4))> |
#<alt (* u1 (+ 1/3 (* u1 1/4)))> |
#<alt (* u2 (* -2 (* (PI) (PI))))> |
#<alt (* (* 2 (PI)) u2)> |
#<alt (* u1 1/3)> |
#<alt (* u1 (+ 1/2 (* u1 1/3)))> |
| Outputs |
|---|
#<alt (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))> |
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))))> |
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#<alt (+ (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/2 (* (sqrt u1) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))> |
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#<alt (sqrt u1)> |
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#<alt (pow u1 2)> |
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#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))))> |
#<alt (* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))))> |
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#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))))> |
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))))> |
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#<alt (sqrt u1)> |
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#<alt u1> |
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#<alt 1> |
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#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))))> |
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#<alt 1/3> |
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#<alt (* 1/4 u1)> |
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#<alt (* 1/3 u1)> |
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#<alt (* 2 (* u2 (PI)))> |
#<alt (* 2 (* u2 (PI)))> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/3 u1)> |
#<alt (* 1/2 u1)> |
#<alt (* u1 (+ 1/2 (* 1/3 u1)))> |
#<alt (* u1 (+ 1/2 (* 1/3 u1)))> |
#<alt (* u1 (+ 1/2 (* 1/3 u1)))> |
#<alt (* 1/3 (pow u1 2))> |
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))> |
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))> |
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))> |
#<alt (* 1/3 (pow u1 2))> |
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))> |
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))> |
#<alt (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | u2 | @ | inf | (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2))) |
| 34.0ms | u1 | @ | 0 | (* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
| 13.0ms | u2 | @ | 0 | (* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
| 4.0ms | u2 | @ | 0 | (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2))) |
| 1.0ms | u1 | @ | 0 | (* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI)))))) |
| 1× | batch-egg-rewrite |
| 3454× | *-lowering-*.f32 |
| 3454× | *-lowering-*.f64 |
| 2076× | pow-lowering-pow.f64 |
| 2076× | pow-lowering-pow.f32 |
| 2062× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 305 |
| 1 | 363 | 235 |
| 2 | 3094 | 225 |
| 0 | 8268 | 225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2))))) |
(+ (+ 1/2 (* 1/2 (cos (* 2 (* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)))))) (* (neg (sin (* (PI) u2))) (sin (* (PI) u2)))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(* (* u1 u1) (+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI)))))) |
(+ 1/2 (* (* u2 u2) (- 0 (* (PI) (PI))))) |
(- 0 (* (PI) (PI))) |
(* u1 u1) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(* (pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) (+ 1 (* u2 (* u2 (* -2 (* (PI) (PI))))))) |
(pow (* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) 1/4) |
(* (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) (cos (* (* 2 (PI)) u2))) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3)))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 1/3))))) |
(+ 1 (* u1 (+ 1/2 (* u1 1/3)))) |
(pow (PI) 2/3) |
(* (pow (PI) 2/3) (* (pow (PI) 1/3) u2)) |
(* (neg (sin (* (PI) u2))) (sin (* (PI) u2))) |
(PI) |
(* (PI) (PI)) |
(* (* u2 u2) (- 0 (* (PI) (PI)))) |
(+ 1/3 (* u1 1/4)) |
(* u1 (+ 1/3 (* u1 1/4))) |
(* u2 (* -2 (* (PI) (PI)))) |
(* (* 2 (PI)) u2) |
(* u1 1/3) |
(* u1 (+ 1/2 (* u1 1/3))) |
| Outputs |
|---|
(+.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(+.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(+.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))) |
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 #s(literal 1/2 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))) |
(fma.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (sin.f32 (*.f32 (PI.f32) u2))) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(fma.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))) (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(-.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))) |
(-.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) (pow.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32))) (-.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) |
(/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) |
(/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))) #s(literal 1 binary32)) |
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (*.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (-.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))) |
(/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(cos.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) |
(+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) |
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(fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32))) (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32))) |
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(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32))) |
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(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32))) (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))))) |
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(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/8 binary32))) |
(exp.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/8 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) |
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/8 binary32)))) |
(exp.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/8 binary32)) (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)))) |
(exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/8 binary32)))) |
(exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (*.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)))) |
(pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) |
(pow.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) |
(pow.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/8 binary32)) |
(pow.f32 (exp.f32 (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) #s(literal 1/2 binary32)) |
(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32))) |
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(*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32)) (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/4 binary32))) |
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(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1)) (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1)))) |
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(fma.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1)) (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1)))) |
(fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1) (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
(fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))))) |
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(fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1)) #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1)) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) |
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(*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)) |
(*.f32 (neg.f32 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) u2) |
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
(+.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)) |
(pow.f32 (/.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) #s(literal -1 binary32)) |
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) |
(-.f32 (/.f32 #s(literal 1/9 binary32) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))) (/.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))) (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)) (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))))) |
(/.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))) |
(/.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32))) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)) (-.f32 #s(literal 1/9 binary32) (*.f32 #s(literal 1/12 binary32) u1)))) |
(/.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32)))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) (neg.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)))) |
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)) #s(literal 1/9 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))) |
(*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32)))))) |
(*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1)))) |
(+.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) |
(+.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) |
(fma.f32 u1 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) |
(fma.f32 u1 (*.f32 u1 #s(literal 1/4 binary32)) (*.f32 u1 #s(literal 1/3 binary32))) |
(fma.f32 #s(literal 1/3 binary32) u1 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) |
(fma.f32 (*.f32 u1 u1) #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/3 binary32))) |
(fma.f32 #s(literal 1/4 binary32) (*.f32 u1 u1) (*.f32 u1 #s(literal 1/3 binary32))) |
(fma.f32 (*.f32 u1 #s(literal 1/4 binary32)) u1 (*.f32 u1 #s(literal 1/3 binary32))) |
(/.f32 (+.f32 (*.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32)) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/9 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/9 binary32)) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) |
(/.f32 (*.f32 u1 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32)))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))) |
(/.f32 (*.f32 u1 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32)))) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))) |
(/.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1/64 binary32))) u1) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 #s(literal 1/4 binary32)) (-.f32 (*.f32 u1 #s(literal 1/4 binary32)) #s(literal 1/3 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/16 binary32))) u1) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal -1/4 binary32) u1))) |
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) |
(*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) u1) |
(*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 #s(literal -2 binary32))) |
(*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) |
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) u2) |
(*.f32 (*.f32 u2 #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (PI.f32) u2)) |
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)) |
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) |
(*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2)) |
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) #s(literal 2 binary32))) |
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) |
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2) (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) u2) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(*.f32 #s(literal 1/3 binary32) u1) |
(+.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))) |
(+.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 #s(literal 1/2 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))) |
(+.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))) |
(fma.f32 u1 #s(literal 1/2 binary32) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))) |
(fma.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)) (*.f32 u1 #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/2 binary32) u1 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 u1 u1) (*.f32 u1 #s(literal 1/2 binary32))) |
(fma.f32 (*.f32 u1 u1) #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/2 binary32))) |
(fma.f32 (*.f32 u1 #s(literal 1/3 binary32)) u1 (*.f32 u1 #s(literal 1/2 binary32))) |
(fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) #s(literal 1 binary32))) |
(/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 u1 u1) u1)) (*.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)))) (+.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32)))) (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))) (-.f32 (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 #s(literal 1/3 binary32))))) |
(/.f32 (*.f32 u1 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 u1) u1)))) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) |
(/.f32 (*.f32 u1 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/9 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) |
(/.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 u1 u1) u1))) u1) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 #s(literal 1/3 binary32)) (-.f32 (*.f32 u1 #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 u1) #s(literal 1/9 binary32))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) |
(*.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) |
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))) u1) |
(*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1) |
| 1× | egg-herbie |
| 9012× | *-lowering-*.f32 |
| 9012× | *-lowering-*.f64 |
| 4276× | +-lowering-+.f64 |
| 4276× | +-lowering-+.f32 |
| 1890× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 719 | 6724 |
| 1 | 2576 | 5389 |
| 0 | 9556 | 5389 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))))))) |
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(+ (* -1/2 (* (/ (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/2 (* (/ (* (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))) (sqrt (log (- 1 u1))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6))))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1)))))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(log (/ -1 u1)) |
(- (/ 1 u1) (* -1 (log (/ -1 u1)))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1)))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* (pow u1 2) (+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2))))) |
(* 1/2 (pow u1 2)) |
(+ (* -1 (* (pow u1 2) (* (pow u2 2) (pow (PI) 2)))) (* 1/2 (pow u1 2))) |
(+ (* -1 (* (pow u1 2) (* (pow u2 2) (pow (PI) 2)))) (* 1/2 (pow u1 2))) |
(+ (* -1 (* (pow u1 2) (* (pow u2 2) (pow (PI) 2)))) (* 1/2 (pow u1 2))) |
(* -1 (* (pow u1 2) (* (pow u2 2) (pow (PI) 2)))) |
(* (pow u2 2) (+ (* -1 (* (pow u1 2) (pow (PI) 2))) (* 1/2 (/ (pow u1 2) (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (* (pow u1 2) (pow (PI) 2))) (* 1/2 (/ (pow u1 2) (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (* (pow u1 2) (pow (PI) 2))) (* 1/2 (/ (pow u1 2) (pow u2 2))))) |
(* -1 (* (pow u1 2) (* (pow u2 2) (pow (PI) 2)))) |
(* (pow u2 2) (+ (* -1 (* (pow u1 2) (pow (PI) 2))) (* 1/2 (/ (pow u1 2) (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (* (pow u1 2) (pow (PI) 2))) (* 1/2 (/ (pow u1 2) (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (* (pow u1 2) (pow (PI) 2))) (* 1/2 (/ (pow u1 2) (pow u2 2))))) |
1/2 |
(+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1/2 (* -1 (* (pow u2 2) (pow (PI) 2)))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ 1 (pow u2 2))))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ 1 (pow u2 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) |
(pow u1 2) |
(sqrt u1) |
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1)))))))))) |
(* 1/2 (pow u1 2)) |
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3))))))) |
(* (pow u1 2) (* (sqrt -1) (sqrt -1/4))) |
(* (pow u1 2) (+ (* -1/6 (/ (sqrt -1) (* u1 (sqrt -1/4)))) (* (sqrt -1) (sqrt -1/4)))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (sqrt -1) (sqrt -1/4))) (* 1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1) (sqrt -1/4)))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (sqrt -1) (sqrt -1/4)))) u1)) (* (sqrt -1) (sqrt -1/4)))) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) |
(* 1/4 (pow u1 4)) |
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))) |
(* 1/4 (pow u1 4)) |
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1)))) |
1 |
(+ 1 (* 1/2 u1)) |
(+ 1 (* u1 (+ 1/2 (* 1/3 u1)))) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))) |
(* 1/4 (pow u1 3)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))) |
(* 1/4 (pow u1 3)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))) |
(* 1/2 u1) |
(* u1 (+ 1/2 (* 1/3 u1))) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) |
(* 1/4 (pow u1 3)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* 1/4 (pow u1 3)) |
(* (pow u1 3) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))) |
(* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) |
(+ (* 1/4 (* (sqrt (pow u1 3)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) |
(+ (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ (* (sqrt u1) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (* 1/2 (* (sqrt u1) (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1/4 (* 1/16 (/ 1 u1))))))))))) |
(* 1/2 (* (pow u1 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) |
(* (pow u1 2) (+ (* 1/3 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1)) (* 1/2 (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1)) (+ (* 7/18 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow u1 2))) (* 1/2 (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1)) (+ (* 7/18 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow u1 2))) (+ (* 1/2 (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* 20/27 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (pow u1 3))))))) |
(* (pow u1 2) (* (sqrt -1/4) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) |
(* (pow u1 2) (+ (* -1/6 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (* u1 (sqrt -1/4)))) (* (sqrt -1/4) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (sqrt -1/4))) (* 1/2 (/ (* (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (* u1 (sqrt -1/4))))) u1)) (* (sqrt -1/4) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1/4))) (* -1/2 (/ (* (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (sqrt -1/4)))) u1)) (* (sqrt -1/4) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))) |
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2)))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2)))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (/ 1 (pow u2 2))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1)))))))))) |
(* 1/2 (pow u1 2)) |
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3))))))) |
(* (pow u1 2) (sqrt -1/4)) |
(* (pow u1 2) (- (sqrt -1/4) (* 1/6 (/ 1 (* u1 (sqrt -1/4)))))) |
(* (pow u1 2) (+ (sqrt -1/4) (* -1 (/ (+ (* 1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (* u1 (sqrt -1/4)))) (* 1/6 (/ 1 (sqrt -1/4)))) u1)))) |
(* (pow u1 2) (+ (sqrt -1/4) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (sqrt -1/4))) (* -1/2 (/ (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))) (* u1 (sqrt -1/4))))) u1)) (* 1/6 (/ 1 (sqrt -1/4)))) u1)))) |
(pow u1 2) |
(* (pow u1 2) (+ 1 u1)) |
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1))))) |
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1))))))) |
(* 1/16 (pow u1 8)) |
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1)))) |
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1))))) |
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 5/6 (/ 1 (pow u1 3))))))) |
(* 1/16 (pow u1 8)) |
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1)))) |
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1))))) |
(* (pow u1 8) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 5/6 (/ 1 u1))) u1)) 1/6) u1)))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/32 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))) |
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))) |
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))))) |
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/3))))))) |
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))) |
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3)))))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/3))))))) |
(sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 2))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 4))))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (pow (PI) 4)))))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))) (cos (* 2 (* u2 (PI))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/32 (sqrt (/ 1 u1))) (* 1/6 (sqrt (/ 1 u1)))))))) |
(* (sqrt (pow u1 3)) (sqrt 1/3)) |
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))) |
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3))))) |
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt 1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (sqrt 1/3)))))) |
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (sqrt 1/3))) |
(* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3))))) |
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3)))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/32 (* (sqrt u1) (/ (pow (sqrt -1) 2) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (pow (sqrt -1) 2) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (pow (sqrt -1) 2) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (sqrt 1/3)))))) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(* 1/3 (pow u1 3)) |
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))) |
(* (pow u1 3) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))) |
(* 1/3 (pow u1 3)) |
(* (pow u1 3) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) |
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3))) |
1 |
(+ 1 (* 1/2 u1)) |
(+ 1 (* u1 (+ 1/2 (* 1/3 u1)))) |
(+ 1 (* u1 (+ 1/2 (* 1/3 u1)))) |
(* 1/3 (pow u1 2)) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))) |
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))) |
(* 1/3 (pow u1 2)) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))) |
(* (pow u1 2) (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))))) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4)))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
1/3 |
(+ 1/3 (* 1/4 u1)) |
(+ 1/3 (* 1/4 u1)) |
(+ 1/3 (* 1/4 u1)) |
(* 1/4 u1) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* 1/4 u1) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* 1/3 u1) |
(* u1 (+ 1/3 (* 1/4 u1))) |
(* u1 (+ 1/3 (* 1/4 u1))) |
(* u1 (+ 1/3 (* 1/4 u1))) |
(* 1/4 (pow u1 2)) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* 1/4 (pow u1 2)) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* -2 (* u2 (pow (PI) 2))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 2 (* u2 (PI))) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/3 u1) |
(* 1/2 u1) |
(* u1 (+ 1/2 (* 1/3 u1))) |
(* u1 (+ 1/2 (* 1/3 u1))) |
(* u1 (+ 1/2 (* 1/3 u1))) |
(* 1/3 (pow u1 2)) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(* 1/3 (pow u1 2)) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
| Outputs |
|---|
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) |
(*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) |
(*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/6 (* (sqrt u1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))))) |
(+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))))))))) |
(+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)))))))) |
(* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) u1))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
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(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (+ 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (cos (* 2 (* u2 (PI)))))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
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1 |
#s(literal 1 binary32) |
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u1 |
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1 |
#s(literal 1 binary32) |
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(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))) |
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 u2 (*.f32 u2 (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (PI.f32) (PI.f32)))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4)))))) |
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (PI.f32) (PI.f32)))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))))) |
(*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 u2 u2) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (*.f32 #s(literal -1/315 binary32) (*.f32 u2 u2))))))) (*.f32 (PI.f32) (PI.f32)))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (pow (sin (* u2 (PI))) 2)) |
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/4 u1)) |
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
(+ 1/3 (* 1/4 u1)) |
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
(+ 1/3 (* 1/4 u1)) |
(+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
(* 1/4 u1) |
(*.f32 u1 #s(literal 1/4 binary32)) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) |
(* 1/4 u1) |
(*.f32 u1 #s(literal 1/4 binary32)) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) |
(* u1 (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1))) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* u1 (+ 1/3 (* 1/4 u1))) |
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) |
(* u1 (+ 1/3 (* 1/4 u1))) |
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) |
(* u1 (+ 1/3 (* 1/4 u1))) |
(*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) |
(* 1/4 (pow u1 2)) |
(*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) |
(* 1/4 (pow u1 2)) |
(*.f32 u1 (*.f32 u1 #s(literal 1/4 binary32))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) |
(* (pow u1 2) (+ 1/4 (* 1/3 (/ 1 u1)))) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -2 (* u2 (pow (PI) 2))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 2 (* u2 (PI))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/3 u1) |
(*.f32 u1 #s(literal 1/3 binary32)) |
(* 1/2 u1) |
(*.f32 u1 #s(literal 1/2 binary32)) |
(* u1 (+ 1/2 (* 1/3 u1))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) |
(* u1 (+ 1/2 (* 1/3 u1))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) |
(* u1 (+ 1/2 (* 1/3 u1))) |
(*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) |
(* 1/3 (pow u1 2)) |
(*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32)) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1) |
(* 1/3 (pow u1 2)) |
(*.f32 (*.f32 u1 u1) #s(literal 1/3 binary32)) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1) |
(* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) u1) u1) |
Compiled 63343 to 6108 computations (90.4% saved)
79 alts after pruning (72 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1678 | 34 | 1712 |
| Fresh | 16 | 38 | 54 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1698 | 79 | 1777 |
| Status | Accuracy | Program |
|---|---|---|
| 88.3% | (/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))) | |
| 88.4% | (/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) | |
| 92.4% | (+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))))) | |
| 3.9% | (*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) | |
| 88.5% | (*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 88.4% | (*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 22.1% | (*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.7% | (*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 83.3% | (*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 73.8% | (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 18.3% | (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) | |
| 18.3% | (*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 4.9% | (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) | |
| 21.1% | (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 93.5% | (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32))) | |
| 21.1% | (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) | |
| 18.3% | (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 21.1% | (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) | |
| 21.0% | (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) | |
| 14.2% | (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) | |
| 88.6% | (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 93.9% | (*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 88.2% | (*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 93.6% | (*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 88.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)))) | |
| 88.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) | |
| 88.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))))) | |
| 95.5% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 86.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 93.6% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) | |
| 93.7% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) | |
| 86.9% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 93.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))) | |
| 83.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 89.7% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) | |
| 89.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) | |
| 83.5% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 89.8% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 74.3% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 88.1% | (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 88.3% | (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 93.6% | (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 48.5% | (*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 46.3% | (*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) | |
| 97.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32))) | |
| 99.0% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 91.4% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) #s(literal 1 binary32)))) | |
| ✓ | 91.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
| 90.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))) | |
| 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) | |
| 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) | |
| 94.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))))) | |
| ✓ | 91.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | 99.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | 83.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
| 51.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| ✓ | 54.8% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 49.0% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) | |
| 73.8% | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 78.8% | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) | |
| 73.8% | (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) | |
| 73.8% | (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 3.7% | (*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) | |
| 78.9% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ✓ | 3.9% | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
| 3.9% | (*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) | |
| 14.7% | (*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) | |
| 81.5% | (sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) | |
| 81.6% | (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) | |
| 81.7% | (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) | |
| 81.3% | (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1)))) | |
| 81.6% | (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) | |
| ✓ | 81.6% | (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
| 80.4% | (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) | |
| 69.7% | (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) | |
| 77.3% | (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) | |
| 81.3% | (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) | |
| 19.0% | (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) | |
| 69.6% | (sqrt.f32 u1) |
Compiled 5081 to 1991 computations (60.8% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
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(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1)))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) #s(literal 1 binary32)))) |
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (pow.f32 u1 #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))))) |
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))))))) |
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1/2 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
(+.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
(+.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) u2)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32))))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
10 calls:
| 50.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 39.0ms | (-.f32 #s(literal 1 binary32) u1) |
| 38.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 36.0ms | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 35.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | cosTheta_i |
| 99.3% | 1 | u1 |
| 99.3% | 1 | u2 |
| 99.3% | 1 | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 99.3% | 1 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 99.3% | 1 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 99.3% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 99.3% | 1 | (-.f32 #s(literal 1 binary32) u1) |
| 99.3% | 1 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 99.3% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 75 to 64 computations (14.7% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
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(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1)))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/3 binary32)) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)) #s(literal 1 binary32)))) |
(pow.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))) #s(literal 1/4 binary32)) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
9 calls:
| 40.0ms | u1 |
| 36.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 34.0ms | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 32.0ms | u2 |
| 30.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 1 | cosTheta_i |
| 95.5% | 1 | u1 |
| 95.5% | 1 | u2 |
| 95.5% | 1 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 95.5% | 1 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 95.5% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 95.5% | 1 | (-.f32 #s(literal 1 binary32) u1) |
| 95.5% | 1 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 95.5% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 59 to 50 computations (15.3% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) |
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) |
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1)))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
9 calls:
| 42.0ms | cosTheta_i |
| 38.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 28.0ms | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 22.0ms | u2 |
| 22.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 1 | cosTheta_i |
| 98.0% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 97.8% | 2 | u1 |
| 97.8% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 97.8% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 98.0% | 2 | u2 |
| 97.8% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 97.8% | 2 | (-.f32 #s(literal 1 binary32) u1) |
| 98.0% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 59 to 50 computations (15.3% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) |
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) |
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) #s(literal -1/3 binary32)) u1)))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
8 calls:
| 37.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 25.0ms | u2 |
| 24.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 23.0ms | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 20.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 96.5% | 2 | (-.f32 #s(literal 1 binary32) u1) |
| 96.5% | 2 | u1 |
| 96.5% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 96.5% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 97.4% | 2 | u2 |
| 97.4% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 97.4% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 55 to 47 computations (14.5% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) |
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) |
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
9 calls:
| 20.0ms | u2 |
| 19.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 19.0ms | cosTheta_i |
| 19.0ms | u1 |
| 18.0ms | (-.f32 #s(literal 1 binary32) u1) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 2 | u1 |
| 95.0% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 95.0% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 95.0% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 95.0% | 2 | (-.f32 #s(literal 1 binary32) u1) |
| 89.8% | 1 | cosTheta_i |
| 95.9% | 2 | u2 |
| 95.9% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 95.9% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 59 to 50 computations (15.3% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
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(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal -3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
8 calls:
| 50.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 24.0ms | (-.f32 #s(literal 1 binary32) u1) |
| 19.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 19.0ms | u1 |
| 18.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 1 | u1 |
| 88.6% | 1 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 88.6% | 1 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 88.6% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 88.6% | 1 | (-.f32 #s(literal 1 binary32) u1) |
| 93.0% | 2 | u2 |
| 93.0% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 93.0% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 55 to 47 computations (14.5% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1/4 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 u1))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) u2)) (*.f32 u2 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 u2)))) |
(/.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) (-.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (*.f32 (*.f32 u1 u1) u1))) (+.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) |
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
2 calls:
| 20.0ms | u2 |
| 18.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 1 | cosTheta_i |
| 88.6% | 1 | u2 |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32)))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) |
3 calls:
| 14.0ms | u1 |
| 13.0ms | cosTheta_i |
| 13.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 1 | u1 |
| 88.4% | 1 | u2 |
| 88.4% | 1 | cosTheta_i |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 #s(literal -2 binary32)) (PI.f32)) (PI.f32))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
3 calls:
| 12.0ms | cosTheta_i |
| 12.0ms | u1 |
| 11.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 1 | u2 |
| 88.4% | 1 | u1 |
| 88.4% | 1 | cosTheta_i |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(sqrt.f32 (*.f32 u1 (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)) #s(literal -1/4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 11/12 binary32)))))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
3 calls:
| 16.0ms | u1 |
| 12.0ms | u2 |
| 11.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 1 | u2 |
| 86.9% | 1 | cosTheta_i |
| 86.9% | 1 | u1 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
| Outputs |
|---|
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
3 calls:
| 11.0ms | u1 |
| 10.0ms | cosTheta_i |
| 10.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.5% | 1 | cosTheta_i |
| 87.1% | 2 | u1 |
| 87.5% | 2 | u2 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)))))) |
| Outputs |
|---|
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
3 calls:
| 10.0ms | cosTheta_i |
| 10.0ms | u2 |
| 9.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 1 | cosTheta_i |
| 81.7% | 1 | u1 |
| 85.4% | 2 | u2 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
| Outputs |
|---|
(sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
1 calls:
| 9.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 2 | u2 |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
| Outputs |
|---|
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
1 calls:
| 10.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 2 | u2 |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))))))) |
| Outputs |
|---|
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) |
3 calls:
| 9.0ms | u1 |
| 8.0ms | cosTheta_i |
| 7.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 1 | cosTheta_i |
| 83.5% | 2 | u1 |
| 84.1% | 2 | u2 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| Outputs |
|---|
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
1 calls:
| 7.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 2 | u2 |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)))) |
| Outputs |
|---|
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
2 calls:
| 9.0ms | u1 |
| 7.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 1 | u1 |
| 80.4% | 1 | u2 |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
| Outputs |
|---|
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
3 calls:
| 27.0ms | cosTheta_i |
| 6.0ms | u1 |
| 6.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | cosTheta_i |
| 77.3% | 1 | u2 |
| 77.3% | 1 | u1 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
| Outputs |
|---|
(sqrt.f32 u1) |
3 calls:
| 17.0ms | u2 |
| 6.0ms | cosTheta_i |
| 6.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 1 | u2 |
| 69.6% | 1 | cosTheta_i |
| 69.6% | 1 | u1 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) (*.f32 u1 u1)) (+.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 20/27 binary32)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1)))) |
| Outputs |
|---|
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
3 calls:
| 6.0ms | cosTheta_i |
| 5.0ms | u1 |
| 5.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.1% | 1 | u1 |
| 21.1% | 1 | cosTheta_i |
| 21.1% | 1 | u2 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))))) u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| Outputs |
|---|
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
3 calls:
| 9.0ms | u2 |
| 4.0ms | cosTheta_i |
| 4.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.1% | 1 | cosTheta_i |
| 21.1% | 1 | u1 |
| 21.1% | 1 | u2 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 u1 (*.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 20/27 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))))) |
| Outputs |
|---|
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
3 calls:
| 4.0ms | u2 |
| 3.0ms | cosTheta_i |
| 3.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.0% | 1 | cosTheta_i |
| 21.0% | 1 | u1 |
| 21.0% | 1 | u2 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32)) u1) u1) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
| Outputs |
|---|
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
3 calls:
| 2.0ms | u2 |
| 2.0ms | cosTheta_i |
| 2.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.3% | 1 | u1 |
| 18.3% | 1 | cosTheta_i |
| 18.3% | 1 | u2 |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
| Outputs |
|---|
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
3 calls:
| 3.0ms | cosTheta_i |
| 1.0ms | u1 |
| 1.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.2% | 1 | u2 |
| 14.2% | 1 | u1 |
| 14.2% | 1 | cosTheta_i |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04749646410346031 | 0.05171313136816025 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04749646410346031 | 0.05171313136816025 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0019732897635549307 | 0.0024261130020022392 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9971303939819336 | 0.9971473813056946 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00014446719433180988 | 0.00017008878057822585 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00038612785283476114 | 0.0004664055595640093 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00038612785283476114 | 0.0004664055595640093 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00038612785283476114 | 0.0004664055595640093 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00038612785283476114 | 0.0004664055595640093 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00038612785283476114 | 0.0004664055595640093 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | egg-herbie |
| 108× | *-commutative_binary32 |
| 50× | +-commutative_binary32 |
| 16× | sub-neg_binary32 |
| 14× | neg-sub0_binary32 |
| 14× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 629 |
| 1 | 196 | 629 |
| 2 | 210 | 629 |
| 3 | 223 | 629 |
| 4 | 232 | 629 |
| 5 | 237 | 629 |
| 6 | 240 | 629 |
| 7 | 241 | 629 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16729233/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(if (<=.f32 u2 #s(literal 5153961/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(sqrt.f32 u1) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 13421773/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 8589935/4294967296 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 8589935/4294967296 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16729233/16777216 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16729233/16777216 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32)))))))) |
(if (<=.f32 u2 #s(literal 5153961/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(if (<=.f32 u2 #s(literal 5153961/34359738368 binary32)) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (+.f32 u1 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(if (<=.f32 u2 #s(literal 13743895/34359738368 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 u1))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))) |
(sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) |
(sqrt.f32 u1) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 #s(literal -7/9 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) u1) (+.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) (/.f32 (+.f32 #s(literal 7/18 binary32) (*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -7/9 binary32))) (*.f32 u1 u1))))) |
(*.f32 (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)))))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 u1 u1) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/18 binary32) (*.f32 u1 u1))))) |
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) u1) |
(*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)))) |
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) |
| 9012× | *-lowering-*.f32 |
| 9012× | *-lowering-*.f64 |
| 7162× | *-lowering-*.f32 |
| 7162× | *-lowering-*.f64 |
| 6826× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 305 |
| 1 | 363 | 235 |
| 2 | 3094 | 225 |
| 0 | 8268 | 225 |
| 0 | 659 | 7046 |
| 1 | 2271 | 5647 |
| 0 | 8267 | 5647 |
| 0 | 13 | 13 |
| 1 | 25 | 12 |
| 2 | 38 | 12 |
| 3 | 48 | 12 |
| 4 | 62 | 12 |
| 5 | 79 | 12 |
| 6 | 101 | 12 |
| 7 | 115 | 12 |
| 8 | 127 | 12 |
| 9 | 128 | 12 |
| 0 | 128 | 12 |
| 0 | 306 | 3514 |
| 1 | 982 | 2874 |
| 2 | 3481 | 2640 |
| 0 | 8034 | 2640 |
| 0 | 719 | 6724 |
| 1 | 2576 | 5389 |
| 0 | 9556 | 5389 |
| 0 | 56 | 239 |
| 1 | 307 | 185 |
| 2 | 2544 | 178 |
| 0 | 8269 | 178 |
| 0 | 808 | 7337 |
| 1 | 2881 | 5716 |
| 0 | 8436 | 5716 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 3003 to 1986 computations (33.9% saved)
(abs u2)
(abs cosTheta_i)
Compiled 1956 to 828 computations (57.7% saved)
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