
Time bar (total: 14.0s)
| 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: 63.0ms (22.6% of total)ival-<=: 44.0ms (15.8% of total)ival-mult: 39.0ms (14% of total)ival-log: 31.0ms (11.1% of total)ival-cos: 28.0ms (10% of total)ival-sub: 14.0ms (5% of total)ival-sqrt: 13.0ms (4.7% of total)ival-neg: 13.0ms (4.7% of total)ival-pi: 12.0ms (4.3% of total)ival-and: 10.0ms (3.6% of total)ival->: 10.0ms (3.6% of total)const: 2.0ms (0.7% of total)backward-pass: 1.0ms (0.4% of total)| 2.0s | 8256× | 0 | valid |
| 14.0ms | 6× | 0 | precondition |
ival-log: 451.0ms (27.8% of total)...c/correct-round.rkt:119:19: 310.0ms (19.1% of total)ival-mult: 212.0ms (13.1% of total)ival-<=: 183.0ms (11.3% of total)ival-cos: 132.0ms (8.1% of total)ival-sqrt: 66.0ms (4.1% of total)ival-sub: 60.0ms (3.7% of total)ival-neg: 57.0ms (3.5% of total)ival->: 48.0ms (3% of total)ival-pi: 45.0ms (2.8% of total)ival-and: 42.0ms (2.6% of total)const: 10.0ms (0.6% of total)backward-pass: 4.0ms (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 |
|---|---|---|---|---|---|
| 203 | 5 | (0.9999897480010986 0.002279458800330758 1.1486103179692009e-9) | 4 | (0.9999848008155823 0.01051696203649044 0.00014346434909384698) | (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) |
| 78.0ms | 512× | 0 | valid |
Compiled 124 to 44 computations (64.5% saved)
ival-mult: 11.0ms (27.3% of total)ival-log: 11.0ms (27.3% of total)ival-cos: 6.0ms (14.9% of total)ival-sqrt: 4.0ms (9.9% of total)ival-sub: 3.0ms (7.4% of total)ival-neg: 3.0ms (7.4% of total)ival-pi: 2.0ms (5% of total)const: 1.0ms (2.5% of total)backward-pass: 0.0ms (0% of total)Compiled 15 to 13 computations (13.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ▶ | 57.2% | (*.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 | 99.9% | (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
| ✓ | accuracy | 99.7% | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | accuracy | 99.0% | (*.f32 (PI.f32) u2) |
| ✓ | accuracy | 99.7% | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| ✓ | accuracy | 99.5% | (*.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 | 99.0% | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| ✓ | accuracy | 55.3% | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 111.0ms | 256× | 0 | valid |
Compiled 98 to 23 computations (76.5% saved)
ival-log: 40.0ms (43% of total)ival-mult: 28.0ms (30.1% of total)compiled-spec: 7.0ms (7.5% of total)ival-cos: 6.0ms (6.4% of total)ival-sqrt: 4.0ms (4.3% of total)ival-neg: 4.0ms (4.3% of total)ival-sub: 2.0ms (2.1% of total)ival-pi: 1.0ms (1.1% of total)ival-add: 1.0ms (1.1% of total)const: 1.0ms (1.1% 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 (* (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 (* 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))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | u2 | @ | inf | (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| 15.0ms | u2 | @ | 0 | (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| 3.0ms | u2 | @ | -inf | (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| 1.0ms | u1 | @ | inf | (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) |
| 1.0ms | u1 | @ | 0 | (* (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 | 62 |
| 1 | 94 | 62 |
| 2 | 538 | 54 |
| 3 | 4579 | 54 |
| 0 | 8446 | 54 |
| 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) |
(* (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)))) |
(fma.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)))) |
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(-.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 | 3405 |
| 1 | 982 | 2777 |
| 2 | 3481 | 2544 |
| 0 | 8034 | 2544 |
| 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))) |
(* 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)))))))) |
(+.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 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.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))))))))) |
(+.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) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) |
(neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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))))) |
(+.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) 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))))) |
(-.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.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 (* (* (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))))) |
(-.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32))) (/.f32 (*.f32 #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) (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)) |
(* (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 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* (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)))))))) |
(+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.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))))))))) |
(+ (* (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)))))))))) |
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
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(+ (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))) |
(* 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 12084 to 1229 computations (89.8% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 453 | 21 | 474 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 453 | 23 | 476 |
| Status | Accuracy | Program |
|---|---|---|
| 74.8% | (*.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))) | |
| ▶ | 94.0% | (*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 92.2% | (*.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))) | |
| 88.0% | (*.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))) | |
| 85.2% | (*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.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))) | |
| 72.3% | (*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 85.3% | (*.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))) | |
| 98.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -2 binary32)))) | |
| 98.6% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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))))) | |
| ▶ | 98.8% | (*.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))) |
| 98.8% | (*.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))))))) | |
| 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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))))))))))) | |
| 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 (PI.f32) u2))))))) | |
| 98.5% | (*.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)))) | |
| 93.7% | (*.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))))))))) | |
| 90.7% | (*.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 (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)))))) |
| 98.5% | (*.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)))))))) |
| ✓ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ▶ | 81.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
| ✓ | 57.2% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 76.7% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
Compiled 1565 to 877 computations (44% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (+.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))) |
| ✓ | cost-diff | 64 | (/.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)))) |
| ✓ | cost-diff | 128 | (*.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))))) |
| ✓ | cost-diff | 128 | (*.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 (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)))))) |
| ✓ | cost-diff | 0 | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | cost-diff | 3456 | (-.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))))) |
| ✓ | cost-diff | 3584 | (/.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)) |
| ✓ | cost-diff | 3584 | (*.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))) |
| ✓ | 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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (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 | 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)))))))) |
| 2066× | fma-lowering-fma.f32 |
| 2066× | fma-lowering-fma.f64 |
| 1716× | sum3-define |
| 1686× | fmsub-define |
| 1658× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 594 |
| 1 | 140 | 536 |
| 2 | 390 | 461 |
| 3 | 1045 | 456 |
| 4 | 2934 | 456 |
| 5 | 6192 | 456 |
| 0 | 8154 | 456 |
| 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))))))) |
(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 (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2))) |
(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 |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2) |
(- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) |
(+ 1 (cos (* 2 (* (PI) u2)))) |
1 |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
2 |
(* (PI) u2) |
(PI) |
u2 |
(- 1 (cos (* 2 (* (PI) u2)))) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1)))) |
(- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) |
(pow (cos (* (PI) u2)) 6) |
(cos (* (PI) u2)) |
(* (PI) u2) |
(PI) |
u2 |
6 |
(pow (sin (* (PI) u2)) 6) |
(sin (* (PI) u2)) |
(/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))) |
1 |
(+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1)) |
(pow (cos (* (PI) u2)) 4) |
4 |
(* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1) |
(+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) |
1/2 |
(* -1/2 (cos (* 2 (* (PI) u2)))) |
-1/2 |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
2 |
| 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 (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) 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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(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) |
(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))))) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
(*.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 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) |
(*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(+ 1 (cos (* 2 (* (PI) u2)))) |
(+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
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 |
#s(literal 2 binary32) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
(PI) |
(PI.f32) |
u2 |
(- 1 (cos (* 2 (* (PI) u2)))) |
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))))) |
(*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.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 |
(* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1)))) |
(/.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 1/2 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))) |
(- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) |
(-.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 (cos (* (PI) u2)) 6) |
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) |
(cos (* (PI) u2)) |
(cos.f32 (*.f32 (PI.f32) u2)) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
(PI) |
(PI.f32) |
u2 |
6 |
#s(literal 6 binary32) |
(pow (sin (* (PI) u2)) 6) |
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) |
(sin (* (PI) u2)) |
(sin.f32 (*.f32 (PI.f32) u2)) |
(/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))))) |
1 |
#s(literal 1 binary32) |
(+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1)) |
(+.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)))) |
(pow (cos (* (PI) u2)) 4) |
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) |
4 |
#s(literal 4 binary32) |
(* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1) |
(+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) |
(+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) |
(+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(* -1/2 (cos (* 2 (* (PI) u2)))) |
(/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -2 binary32)) |
-1/2 |
#s(literal -1/2 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 |
#s(literal 2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.6% | (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) |
| ✓ | accuracy | 98.1% | (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) |
| ✓ | accuracy | 97.2% | (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) |
| ✓ | accuracy | 37.9% | (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
| ✓ | accuracy | 99.3% | (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | accuracy | 99.1% | (-.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))))) |
| ✓ | accuracy | 99.0% | (*.f32 (PI.f32) u2) |
| ✓ | accuracy | 37.8% | (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | accuracy | 99.2% | (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) |
| ✓ | accuracy | 99.2% | (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
| ✓ | accuracy | 99.2% | (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| ✓ | 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 | 99.7% | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | accuracy | 99.5% | (*.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)))))))) |
| ✓ | accuracy | 99.2% | (*.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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) |
| ✓ | accuracy | 99.0% | (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 u2 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) |
| 202.0ms | 256× | 0 | valid |
Compiled 585 to 58 computations (90.1% saved)
ival-mult: 55.0ms (39.4% of total)ival-pow: 25.0ms (17.9% of total)ival-cos: 12.0ms (8.6% of total)ival-add: 9.0ms (6.5% of total)compiled-spec: 7.0ms (5% of total)ival-sqrt: 6.0ms (4.3% of total)ival-log: 5.0ms (3.6% of total)ival-div: 4.0ms (2.9% of total)ival-sub: 4.0ms (2.9% of total)...c/correct-round.rkt:119:19: 4.0ms (2.9% of total)ival-sin: 3.0ms (2.2% of total)ival-neg: 3.0ms (2.2% of total)ival-pi: 1.0ms (0.7% of total)const: 1.0ms (0.7% of total)backward-pass: 0.0ms (0% 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 (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2)))> |
#<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 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2))> |
#<alt (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)> |
#<alt (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2)))))> |
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1)))))> |
#<alt (* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))))> |
#<alt (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1)))> |
#<alt (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))> |
#<alt (* (pow (PI) 1/3) (* u2 (pow (PI) 1/3)))> |
#<alt (* u2 (pow (PI) 1/3))> |
#<alt (neg u1)> |
#<alt (* (* 2 (PI)) u2)> |
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))> |
#<alt (+ 1/3 (* u1 1/4))> |
#<alt (* u1 (+ 1/3 (* u1 1/4)))> |
#<alt (- 1 (cos (* 2 (* (PI) u2))))> |
#<alt (* (PI) u2)> |
#<alt (+ 1 (cos (* 2 (* (PI) u2))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2)))))> |
#<alt (pow (sin (* (PI) u2)) 6)> |
#<alt (pow (cos (* (PI) u2)) 6)> |
#<alt (pow (cos (* (PI) u2)) 4)> |
| 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 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 (* 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 (* 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 (* (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 (* (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)))))> |
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))> |
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))> |
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (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 (* 1/16 (/ 1 u1)))))))))))> |
#<alt (* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))> |
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))> |
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))> |
#<alt (* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))> |
#<alt (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))> |
#<alt (* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))> |
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))> |
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (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 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))))> |
#<alt (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))> |
#<alt (+ (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)))))> |
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 4)))))))> |
#<alt (+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 4))))))))> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI)))))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))> |
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))> |
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#<alt (* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))> |
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#<alt (* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))> |
#<alt (* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))> |
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#<alt (pow (cos (* u2 (PI))) 4)> |
#<alt (pow (cos (* u2 (PI))) 4)> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | u1 | @ | -inf | (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2))) |
| 11.0ms | u2 | @ | -inf | (* (sqrt (neg (log (+ 1 (neg u1))))) (* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))))) |
| 9.0ms | u1 | @ | 0 | (* (sqrt (neg (log (+ 1 (neg u1))))) (* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))))) |
| 4.0ms | u2 | @ | 0 | (* (sqrt (neg (log (+ 1 (neg u1))))) (* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))))) |
| 3.0ms | u2 | @ | inf | (* (sqrt (neg (log (+ 1 (neg u1))))) (* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))))) |
| 1× | batch-egg-rewrite |
| 2680× | *-lowering-*.f32 |
| 2680× | *-lowering-*.f64 |
| 2574× | fma-lowering-fma.f32 |
| 2574× | fma-lowering-fma.f64 |
| 1786× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 392 |
| 1 | 319 | 311 |
| 2 | 2813 | 307 |
| 0 | 8292 | 307 |
| 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 (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))) (cos (* (* 2 (PI)) u2))) |
(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 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
(/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2) |
(- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))))) |
(* (- (pow (cos (* (PI) u2)) 6) (pow (sin (* (PI) u2)) 6)) (/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1)))) |
(/ 1 (+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1))) |
(+ (pow (cos (* (PI) u2)) 4) (* (+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) 1)) |
(* (pow (PI) 1/3) (* u2 (pow (PI) 1/3))) |
(* u2 (pow (PI) 1/3)) |
(neg u1) |
(* (* 2 (PI)) u2) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(+ 1/3 (* u1 1/4)) |
(* u1 (+ 1/3 (* u1 1/4))) |
(- 1 (cos (* 2 (* (PI) u2)))) |
(* (PI) u2) |
(+ 1 (cos (* 2 (* (PI) u2)))) |
(+ 1/2 (* -1/2 (cos (* 2 (* (PI) u2))))) |
(pow (sin (* (PI) u2)) 6) |
(pow (cos (* (PI) u2)) 6) |
(pow (cos (* (PI) u2)) 4) |
| Outputs |
|---|
(pow.f32 (/.f32 #s(literal 2 binary32) (*.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))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.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))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 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 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))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal 2 binary32)) |
(/.f32 (neg.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))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) #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)) (neg.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) #s(literal -2 binary32)) |
(/.f32 (*.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) #s(literal -2 binary32)) |
(*.f32 #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 (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 (*.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)))) #s(literal 1 binary32)) |
(*.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))) |
(*.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) (*.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 (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))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal 1/2 binary32)) |
(neg.f32 (/.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal -2 binary32))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) |
(cos.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (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)))) |
(+.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1/2 binary32) (neg.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (fma.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 1 binary32)) #s(literal -1 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 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #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 (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 (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 #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 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.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))))))) |
(-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(/.f32 #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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) #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 (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 #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 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(/.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal -2 binary32)) |
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.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)))) (+.f32 #s(literal 1 binary32) (+.f32 (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)))))))))) |
(/.f32 (-.f32 (pow.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 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) (+.f32 (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)))))))) |
(/.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 (neg.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) #s(literal 2 binary32)) |
(/.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 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (+.f32 (pow.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)))) (+.f32 #s(literal 1 binary32) (+.f32 (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))))))))) |
(/.f32 (*.f32 (-.f32 (pow.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 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (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))))))) |
(*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(*.f32 #s(literal 1/2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal -1 binary32))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) |
(*.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal 1/2 binary32)) |
(*.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal -1/2 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)))) |
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(fma.f32 #s(literal -1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) |
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(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) |
(pow.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)) |
(pow.f32 (exp.f32 (log.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))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
| 1× | egg-herbie |
| 6758× | +-lowering-+.f64 |
| 6758× | +-lowering-+.f32 |
| 5488× | *-lowering-*.f32 |
| 5488× | *-lowering-*.f64 |
| 1352× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 898 | 9372 |
| 1 | 3229 | 8038 |
| 0 | 8530 | 8038 |
| 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)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* u2 (PI)) |
(* 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))) |
(* (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))))) |
(+ (* 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 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1))))))))))) |
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI)))))) |
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3))))))) |
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))) |
(* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (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 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) |
(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)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 4))))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 4)))))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 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 (+ (* 1/6 (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)))))) |
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(* -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) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
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(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) |
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(+ (* -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)) |
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(* (* (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)))) |
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(* (* (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 |
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2)))) |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -8/45 (* (pow u2 2) (pow (PI) 6))) (* 4/3 (pow (PI) 4))))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
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(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) (* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) |
(+ (* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) (* -1/6 (* (sqrt u1) (/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))))))) |
(+ (* (sqrt u1) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))))))))) |
(* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (* u1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)))) (* (pow u1 2) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (* u1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
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(* (sqrt (log (/ -1 u1))) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) |
(+ (* -1/2 (* (/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (* u1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (* u1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) (* -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))))) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (* u1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))))) u1)) (* (sqrt (log (/ -1 u1))) (/ (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (- (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2)))) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (pow (PI) 2))))) (sqrt (log (- 1 u1))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (- (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2)))) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (pow (PI) 2))))) (* (* (pow u2 2) (- (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (pow (PI) 4) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2)))))) (+ (* (sqrt -1) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4))))) (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (- (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2)))) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (pow (PI) 2)))))))) (sqrt (log (- 1 u1))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (- (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2)))) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (pow (PI) 2))))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (- (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (pow (PI) 4) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2)))))) (+ (* (sqrt -1) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4))))) (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (- (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2)))) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (pow (PI) 2)))))))) (* (* (pow u2 2) (- (* (sqrt -1) (- (+ (* -1 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/6 (pow (PI) 6)) (+ (* -1/180 (pow (PI) 6)) (+ (* -1/360 (pow (PI) 6)) (* 2 (* (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) (+ (* 1/24 (pow (PI) 4)) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/2 (pow (PI) 4))))))))))) (pow (PI) 6))) (+ (* (sqrt -1) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (+ (* -1/180 (pow (PI) 6)) (* 2/45 (pow (PI) 6)))))) (+ (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (- (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (pow (PI) 4) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2)))))) (+ (* (sqrt -1) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4))))) (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (- (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2)))) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (pow (PI) 2)))))))) (* (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))) (- (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2)))) (* (sqrt -1) (+ (* -2 (pow (PI) 2)) (pow (PI) 2))))))))) (sqrt (log (- 1 u1))))))))) |
(* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) |
(* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) |
(* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) |
(* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) |
(* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) |
(* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) |
(* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) |
(* (sqrt (log (- 1 u1))) (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6))) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))))) |
1 |
(+ 1 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/12 (pow (PI) 4)) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2)) (+ (* -1/3 (pow (PI) 4)) (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (pow (PI) 2)) (pow (PI) 2))))))) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/12 (pow (PI) 4)) (+ (* (pow u2 2) (- (+ (* -1 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/6 (pow (PI) 6)) (+ (* -1/360 (pow (PI) 6)) (* 2 (* (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) (+ (* 1/24 (pow (PI) 4)) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/2 (pow (PI) 4)))))))))) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (+ (* 2/45 (pow (PI) 6)) (+ (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (- (+ (* 1/12 (pow (PI) 4)) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2)) (+ (* -1/3 (pow (PI) 4)) (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (+ (* (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))) (- (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow (PI) 6)))))))) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2))) (+ (* -1/3 (pow (PI) 4)) (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (- (* -1 (pow (PI) 2)) (pow (PI) 2))))))) (pow (PI) 2)))) |
(/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ (- (pow (cos (* u2 (PI))) 6) (pow (sin (* u2 (PI))) 6)) (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
1 |
(+ 1 (* -1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (pow (PI) 2))))) |
(+ 1 (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1 (pow (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4))))))) (+ (* -2 (pow (PI) 2)) (pow (PI) 2))))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1 (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1 (pow (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4))))))) (+ (* -1 (* (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4)))))) (+ (* -1/12 (pow (PI) 6)) (+ (* -1/180 (pow (PI) 6)) (* 2/45 (pow (PI) 6))))))))) (+ (* -1 (pow (+ (* -2 (pow (PI) 2)) (pow (PI) 2)) 2)) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4))))))) (+ (* -2 (pow (PI) 2)) (pow (PI) 2))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4)))) |
1 |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4))))) (pow (PI) 2))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (+ (* -1/180 (pow (PI) 6)) (* 2/45 (pow (PI) 6)))))) (pow (PI) 4)))))) (pow (PI) 2))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 4))) |
(* 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 (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))) |
(* 1/2 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))) |
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 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2)))) |
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2)))) |
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 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))))) |
(* 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 |
(+ 2 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(+ 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))))) |
(* (pow u2 2) (pow (PI) 2)) |
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2))) |
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2))) |
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2))) |
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) |
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) |
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) |
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) |
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) |
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) |
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) |
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) |
(* (pow u2 6) (pow (PI) 6)) |
(* (pow u2 6) (+ (* 2 (* (pow u2 2) (* (pow (PI) 3) (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5)))))) (pow (PI) 6))) |
(* (pow u2 6) (+ (* (pow u2 2) (+ (* 2 (* (pow (PI) 3) (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))))) (* (pow u2 2) (+ (* 2 (* (pow (PI) 3) (+ (* 1/120 (pow (PI) 7)) (+ (* 1/18 (pow (PI) 7)) (* (PI) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))) (pow (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))) 2))))) (pow (PI) 6))) |
(* (pow u2 6) (+ (* (pow u2 2) (+ (* 2 (* (pow (PI) 3) (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))))) (* (pow u2 2) (+ (* 2 (* (pow (PI) 3) (+ (* 1/120 (pow (PI) 7)) (+ (* 1/18 (pow (PI) 7)) (* (PI) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))) (+ (* (pow u2 2) (+ (* 2 (* (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))) (+ (* 1/120 (pow (PI) 7)) (+ (* 1/18 (pow (PI) 7)) (* (PI) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))) (* 2 (* (pow (PI) 3) (+ (* -1/6 (* (pow (PI) 3) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (+ (* -1/360 (pow (PI) 9)) (+ (* -1/5040 (pow (PI) 9)) (* (PI) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))))))))) (pow (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))) 2)))))) (pow (PI) 6))) |
(pow (sin (* u2 (PI))) 6) |
(pow (sin (* u2 (PI))) 6) |
(pow (sin (* u2 (PI))) 6) |
(pow (sin (* u2 (PI))) 6) |
(pow (sin (* u2 (PI))) 6) |
(pow (sin (* u2 (PI))) 6) |
(pow (sin (* u2 (PI))) 6) |
(pow (sin (* u2 (PI))) 6) |
1 |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (pow (PI) 4) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2)))))))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -1 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/6 (pow (PI) 6)) (+ (* -1/180 (pow (PI) 6)) (+ (* -1/360 (pow (PI) 6)) (* 2 (* (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) (+ (* 1/24 (pow (PI) 4)) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/2 (pow (PI) 4)))))))))))) (+ (pow (PI) 4) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2))))))))))) |
(pow (cos (* u2 (PI))) 6) |
(pow (cos (* u2 (PI))) 6) |
(pow (cos (* u2 (PI))) 6) |
(pow (cos (* u2 (PI))) 6) |
(pow (cos (* u2 (PI))) 6) |
(pow (cos (* u2 (PI))) 6) |
(pow (cos (* u2 (PI))) 6) |
(pow (cos (* u2 (PI))) 6) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (pow (PI) 4))))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (pow (PI) 4)))))))) |
(pow (cos (* u2 (PI))) 4) |
(pow (cos (* u2 (PI))) 4) |
(pow (cos (* u2 (PI))) 4) |
(pow (cos (* u2 (PI))) 4) |
(pow (cos (* u2 (PI))) 4) |
(pow (cos (* u2 (PI))) 4) |
(pow (cos (* u2 (PI))) 4) |
(pow (cos (* u2 (PI))) 4) |
| Outputs |
|---|
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #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 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) |
(+ (* (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 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #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 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 u1 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))) |
(* (* (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 (*.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))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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)))))))) (+ (* -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 (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 #s(literal -1/2 binary32) (/.f32 (*.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))))) (*.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)))))))) (+ (* -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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(cos (* 2 (* u2 (PI)))) |
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(cos (* 2 (* u2 (PI)))) |
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(cos (* 2 (* u2 (PI)))) |
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u1 |
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1 |
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(* (sqrt (log (- 1 u1))) (sqrt -1)) |
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
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1 |
#s(literal 1 binary32) |
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(cos (* 2 (* u2 (PI)))) |
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(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
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(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
(cos (* 2 (* u2 (PI)))) |
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(cos (* 2 (* u2 (PI)))) |
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(cos (* 2 (* u2 (PI)))) |
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(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) |
2 |
#s(literal 2 binary32) |
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(* 2 (cos (* 2 (* u2 (PI))))) |
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1/3 |
#s(literal 1/3 binary32) |
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(- 1 (cos (* 2 (* u2 (PI))))) |
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2 |
#s(literal 2 binary32) |
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(* (pow u2 2) (pow (PI) 2)) |
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(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2))) |
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(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/2 binary32)))))) |
(* (pow u2 6) (+ (* (pow u2 2) (+ (* 2 (* (pow (PI) 3) (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))))) (* (pow u2 2) (+ (* 2 (* (pow (PI) 3) (+ (* 1/120 (pow (PI) 7)) (+ (* 1/18 (pow (PI) 7)) (* (PI) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))) (pow (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))) 2))))) (pow (PI) 6))) |
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/2 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal 23/360 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))))) (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)))))))) |
(* (pow u2 6) (+ (* (pow u2 2) (+ (* 2 (* (pow (PI) 3) (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))))) (* (pow u2 2) (+ (* 2 (* (pow (PI) 3) (+ (* 1/120 (pow (PI) 7)) (+ (* 1/18 (pow (PI) 7)) (* (PI) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))) (+ (* (pow u2 2) (+ (* 2 (* (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))) (+ (* 1/120 (pow (PI) 7)) (+ (* 1/18 (pow (PI) 7)) (* (PI) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))) (* 2 (* (pow (PI) 3) (+ (* -1/6 (* (pow (PI) 3) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (+ (* -1/360 (pow (PI) 9)) (+ (* -1/5040 (pow (PI) 9)) (* (PI) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))))))))) (pow (+ (* -1/3 (pow (PI) 5)) (* -1/6 (pow (PI) 5))) 2)))))) (pow (PI) 6))) |
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/2 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal 23/360 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))))) (+.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/2 binary32)) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal 23/360 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 9 binary32)) #s(literal -1/336 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32))))))))))))))) |
(pow (sin (* u2 (PI))) 6) |
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (sin (* u2 (PI))) 6) |
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (sin (* u2 (PI))) 6) |
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (sin (* u2 (PI))) 6) |
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (sin (* u2 (PI))) 6) |
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (sin (* u2 (PI))) 6) |
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (sin (* u2 (PI))) 6) |
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (sin (* u2 (PI))) 6) |
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* -1 (pow (PI) 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -3 binary32)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (pow (PI) 4) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2)))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 3/4 binary32)) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 9/4 binary32)))))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -1 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/6 (pow (PI) 6)) (+ (* -1/180 (pow (PI) 6)) (+ (* -1/360 (pow (PI) 6)) (* 2 (* (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) (+ (* 1/24 (pow (PI) 4)) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/2 (pow (PI) 4)))))))))))) (+ (pow (PI) 4) (pow (+ (* -1 (pow (PI) 2)) (* -1/2 (pow (PI) 2))) 2))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 3/4 binary32)) (+.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 9/4 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (-.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -61/360 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -3/2 binary32))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/24 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/180 binary32)))))))))) |
(pow (cos (* u2 (PI))) 6) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (cos (* u2 (PI))) 6) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (cos (* u2 (PI))) 6) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (cos (* u2 (PI))) 6) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (cos (* u2 (PI))) 6) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (cos (* u2 (PI))) 6) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (cos (* u2 (PI))) 6) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
(pow (cos (* u2 (PI))) 6) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (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 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/6 (pow (PI) 4)) (+ (* 1/2 (pow (PI) 4)) (+ (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (+ (* -1/12 (pow (PI) 6)) (* -1/180 (pow (PI) 6))))) (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 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 5/3 binary32)) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))) (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))) |
(pow (cos (* u2 (PI))) 4) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) |
(pow (cos (* u2 (PI))) 4) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) |
(pow (cos (* u2 (PI))) 4) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) |
(pow (cos (* u2 (PI))) 4) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) |
(pow (cos (* u2 (PI))) 4) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) |
(pow (cos (* u2 (PI))) 4) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) |
(pow (cos (* u2 (PI))) 4) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) |
(pow (cos (* u2 (PI))) 4) |
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) |
Compiled 52892 to 4065 computations (92.3% saved)
48 alts after pruning (45 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1416 | 42 | 1458 |
| Fresh | 13 | 3 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1433 | 48 | 1481 |
| Status | Accuracy | Program |
|---|---|---|
| 4.6% | (+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) | |
| 86.0% | (+.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 -2 binary32) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (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)))))))))))) | |
| 93.2% | (*.f32 (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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.5% | (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.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))))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) | |
| 90.8% | (*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 88.2% | (*.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))) | |
| 21.8% | (*.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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 15.4% | (*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 94.0% | (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 90.0% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.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))) | |
| 93.6% | (*.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)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ▶ | 93.8% | (*.f32 (sqrt.f32 (*.f32 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 #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)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 93.9% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.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 (*.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)))) | |
| ✓ | 94.0% | (*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 92.2% | (*.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))) | |
| 76.5% | (*.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)) | |
| 88.0% | (*.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))) | |
| 73.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) | |
| 93.7% | (*.f32 (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 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.5% | (*.f32 (sqrt.f32 (*.f32 u1 (neg.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 98.8% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))) (log1p.f32 (-.f32 (*.f32 u1 u1) (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))) | |
| 81.5% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))) (log1p.f32 (-.f32 (*.f32 u1 u1) (neg.f32 u1)))))) #s(literal 1 binary32)) | |
| 48.9% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u1 u1) u1)))))) #s(literal 1 binary32)) | |
| 91.4% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.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)))))))) | |
| 48.8% | (*.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)) | |
| 98.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) 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))) | |
| 81.4% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32)) | |
| ▶ | 81.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
| ▶ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32))) |
| 98.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (-.f32 (+.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)))))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| ▶ | 91.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) |
| 98.7% | (*.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 (-.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32))) | |
| 82.8% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 98.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) | |
| 90.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) | |
| ✓ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | 81.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) |
| 51.2% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) | |
| 76.6% | (*.f32 (sqrt.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))) | |
| 76.7% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 76.7% | (*.f32 (sqrt.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)))))))) | |
| 65.8% | (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) | |
| ▶ | 4.5% | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
| 91.1% | (*.f32 (exp.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 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 77.7% | (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))))))))) | |
| 49.5% | (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
Compiled 2455 to 1665 computations (32.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | cost-diff | 64 | (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
| ✓ | cost-diff | 64 | (/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32)) |
| ✓ | cost-diff | 64 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) |
| ✓ | cost-diff | 64 | (/.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 #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)))))) |
| ✓ | cost-diff | 64 | (*.f32 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 #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))))))) |
| ✓ | cost-diff | 64 | (sqrt.f32 (*.f32 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 #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)))))))) |
| ✓ | cost-diff | 64 | (*.f32 (sqrt.f32 (*.f32 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 #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)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ✓ | cost-diff | 224 | (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))) |
| ✓ | cost-diff | 224 | (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1)))) |
| ✓ | cost-diff | 224 | (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) |
| ✓ | cost-diff | 288 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 u1) |
| ✓ | cost-diff | 32 | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
| ✓ | cost-diff | 32 | (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
| ✓ | cost-diff | 3232 | (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
| ✓ | cost-diff | 3232 | (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32)) |
| ✓ | cost-diff | 3232 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #s(literal 2 binary32))) |
| 3194× | sum4-define |
| 1956× | *-lowering-*.f32 |
| 1956× | *-lowering-*.f64 |
| 1464× | fnmadd-define |
| 1072× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 755 |
| 1 | 187 | 639 |
| 2 | 603 | 613 |
| 3 | 2981 | 613 |
| 4 | 6527 | 613 |
| 0 | 8110 | 613 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2)) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2) |
(+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) |
(+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) |
1 |
(pow (cos (* 2 (* (PI) u2))) 3) |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
2 |
(* (PI) u2) |
(PI) |
u2 |
3 |
(/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1)))) |
(+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))) |
(* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1)) |
(- (cos (* 2 (* (PI) u2))) 1) |
(neg (- 1 (cos (* 2 (* (PI) u2))))) |
(- 1 (cos (* 2 (* (PI) u2)))) |
(* (sqrt u1) -1) |
(sqrt u1) |
u1 |
-1 |
(* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) 1) |
(sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) |
(neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))) |
(log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))) |
(/ (- 0 (* u1 u1)) (+ 0 u1)) |
(- 0 (* u1 u1)) |
0 |
(* u1 u1) |
u1 |
(+ 0 u1) |
1 |
(* (sqrt (* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))) (cos (* (* 2 (PI)) u2))) |
(sqrt (* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))) |
(* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))) |
u1 |
(/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))) |
1 |
(/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))) |
(- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) |
(* 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 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) |
(* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) |
(* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) |
(* u1 u1) |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(/ (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) 2) |
(- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) |
(+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) |
2 |
(* (* -2 (* u2 u2)) (* (PI) (PI))) |
(* -2 (* u2 u2)) |
-2 |
(* u2 u2) |
u2 |
(* (PI) (PI)) |
(PI) |
(- 1 (cos (* 2 (* (PI) u2)))) |
1 |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
(* (PI) u2) |
| Outputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2)) |
(/.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal -1 binary32)))) #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 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2) |
(-.f32 (/.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) |
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal -1 binary32))) |
(+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) |
(+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) |
1 |
#s(literal 1 binary32) |
(pow (cos (* 2 (* (PI) u2))) 3) |
(pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 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 |
#s(literal 2 binary32) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
(PI) |
(PI.f32) |
u2 |
3 |
#s(literal 3 binary32) |
(/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) |
(+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))) |
(+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))) |
(* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) |
(- (cos (* 2 (* (PI) u2))) 1) |
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) |
(neg (- 1 (cos (* 2 (* (PI) u2))))) |
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) |
(- 1 (cos (* 2 (* (PI) u2)))) |
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(* (sqrt u1) -1) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt u1) |
(sqrt.f32 u1) |
u1 |
-1 |
#s(literal -1 binary32) |
(* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) 1) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))) |
(log1p.f32 (neg.f32 u1)) |
(/ (- 0 (* u1 u1)) (+ 0 u1)) |
(neg.f32 u1) |
(- 0 (* u1 u1)) |
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) |
0 |
#s(literal 0 binary32) |
(* u1 u1) |
(*.f32 u1 u1) |
u1 |
(+ 0 u1) |
u1 |
1 |
#s(literal 1 binary32) |
(* (sqrt (* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))) (cos (* (* 2 (PI)) u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.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 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))))))))))) |
(sqrt (* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))) |
(sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.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 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 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.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 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 |
(/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.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 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)))))))) |
1 |
#s(literal 1 binary32) |
(/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))) |
(/.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 #s(literal 1 binary32) (*.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 u1 (-.f32 #s(literal -1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) |
(- 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))))))) |
(* 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 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))) |
(+.f32 #s(literal 1 binary32) (*.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 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)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 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 (*.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)))) (* u1 u1)) |
(*.f32 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 u1) |
(*.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 (PI)) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
2 |
#s(literal 2 binary32) |
(PI) |
(PI.f32) |
u2 |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))) #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 |
(/ (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) 2) |
(/.f32 (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))) #s(literal 2 binary32)) |
(- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) |
(-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))))) |
(+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) |
(+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))) |
2 |
#s(literal 2 binary32) |
(* (* -2 (* u2 u2)) (* (PI) (PI))) |
(*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* u2 u2)) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) |
-2 |
#s(literal -2 binary32) |
(* u2 u2) |
(*.f32 u2 u2) |
u2 |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI) |
(PI.f32) |
(- 1 (cos (* 2 (* (PI) u2)))) |
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
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)) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (*.f32 (PI.f32) u2) |
| ✓ | accuracy | 98.8% | (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 37.8% | (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | accuracy | 99.2% | (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| ✓ | accuracy | 98.9% | (*.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)) |
| ✓ | accuracy | 98.9% | (*.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))) |
| ✓ | accuracy | 100.0% | (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1)))) |
| ✓ | accuracy | 100.0% | (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))) |
| ✓ | accuracy | 99.7% | (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) |
| ✓ | accuracy | 99.6% | (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1)) |
| ✓ | accuracy | 100.0% | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
| ✓ | accuracy | 100.0% | (sqrt.f32 u1) |
| ✓ | accuracy | 99.0% | (*.f32 (PI.f32) u2) |
| ✓ | accuracy | 98.9% | (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) |
| ✓ | accuracy | 37.8% | (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) |
| ✓ | accuracy | 37.8% | (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| 244.0ms | 256× | 0 | valid |
Compiled 832 to 67 computations (91.9% saved)
ival-mult: 37.0ms (21% of total)ival-sub: 26.0ms (14.8% of total)compiled-spec: 26.0ms (14.8% of total)ival-sqrt: 22.0ms (12.5% of total)ival-add: 20.0ms (11.3% of total)ival-div: 10.0ms (5.7% of total)ival-log: 10.0ms (5.7% of total)ival-cos: 9.0ms (5.1% of total)ival-pow: 5.0ms (2.8% of total)ival-neg: 5.0ms (2.8% of total)...c/correct-round.rkt:119:19: 4.0ms (2.3% of total)const: 2.0ms (1.1% of total)ival-pi: 1.0ms (0.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2))> |
#<alt (/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2)> |
#<alt (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2))))))> |
#<alt (neg (- 1 (cos (* 2 (* (PI) u2)))))> |
#<alt (* (sqrt u1) -1)> |
#<alt (sqrt u1)> |
#<alt (* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) 1)> |
#<alt (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))))> |
#<alt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))> |
#<alt (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))> |
#<alt (* (sqrt (* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))) (cos (* (* 2 (PI)) u2)))> |
#<alt (sqrt (* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))))> |
#<alt (* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))> |
#<alt (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))> |
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) 2))> |
#<alt (/ (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)> |
#<alt (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2)))))> |
#<alt (sqrt (neg (log (+ 1 (neg u1)))))> |
#<alt (- 1 (cos (* 2 (* (PI) u2))))> |
#<alt (- (cos (* 2 (* (PI) u2))) 1)> |
#<alt (pow (cos (* 2 (* (PI) u2))) 3)> |
#<alt (* (PI) u2)> |
#<alt (/ (- 0 (* u1 u1)) (+ 0 u1))> |
#<alt (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))> |
#<alt (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))> |
#<alt (* (* 2 (PI)) u2)> |
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))> |
#<alt (* (PI) (PI))> |
#<alt (* (* -2 (* u2 u2)) (* (PI) (PI)))> |
| Outputs |
|---|
#<alt (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))> |
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#<alt (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* 1/4 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) (* -1/4 (* (/ (* (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -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)) (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -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 (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (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) (+ (* -2/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))> |
#<alt (* -1 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))> |
#<alt (* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1)))))))> |
#<alt (* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1)))))))> |
#<alt (* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1)))))))> |
#<alt (* -1 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))> |
#<alt (* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1)))))))> |
#<alt (* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1)))))))> |
#<alt (* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1)))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))> |
#<alt (* -1 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2)))))> |
#<alt (* -1 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2)))))> |
#<alt 2> |
#<alt (+ 2 (* -4 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))> |
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2)))))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2)))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2)))))> |
#<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 (* 2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))> |
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))> |
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -4/45 (pow (PI) 6)) (* 2/315 (* (pow u2 2) (pow (PI) 8)))))))))> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt 1> |
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))))))))))))> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<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 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* 1/4 (pow u1 2))> |
#<alt (* (pow u1 2) (+ 1/4 (* 1/3 u1)))> |
#<alt (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))> |
#<alt (* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))> |
#<alt (* 1/16 (pow u1 6))> |
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))> |
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))> |
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))> |
#<alt (* 1/16 (pow u1 6))> |
#<alt (* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1))))> |
#<alt (* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))> |
#<alt (* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))> |
#<alt (* 1/2 (pow u1 2))> |
#<alt (* (pow u1 2) (+ 1/2 (* 1/3 u1)))> |
#<alt (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))> |
#<alt (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))> |
#<alt (* 1/4 (pow u1 4))> |
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))> |
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))> |
#<alt (* 1/4 (pow u1 4))> |
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))> |
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 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)))> |
#<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)))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | u1 | @ | inf | (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2)) |
| 6.0ms | u2 | @ | -inf | (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2)) |
| 4.0ms | u1 | @ | -inf | (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2)) |
| 4.0ms | u1 | @ | inf | (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
| 4.0ms | u2 | @ | inf | (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2)) |
| 1× | batch-egg-rewrite |
| 2610× | *-lowering-*.f32 |
| 2610× | *-lowering-*.f64 |
| 1550× | /-lowering-/.f32 |
| 1550× | /-lowering-/.f64 |
| 1312× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 497 |
| 1 | 432 | 342 |
| 2 | 4344 | 324 |
| 0 | 8179 | 324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2)) |
(/ (+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) 2) |
(+ (* (+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (- (cos (* 2 (* (PI) u2))) 1))))) (neg (- 1 (cos (* 2 (* (PI) u2)))))) |
(neg (- 1 (cos (* 2 (* (PI) u2))))) |
(* (sqrt u1) -1) |
(sqrt u1) |
(* (sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) 1) |
(sqrt (neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))))) |
(neg (log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1))))) |
(log (+ 1 (/ (- 0 (* u1 u1)) (+ 0 u1)))) |
(* (sqrt (* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))) (cos (* (* 2 (PI)) u2))) |
(sqrt (* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))))) |
(* u1 (/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))))))) |
(/ 1 (/ (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))) (- 1 (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)))))) |
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
(/ (- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) 2) |
(- (+ 2 (* (* -2 (* u2 u2)) (* (PI) (PI)))) (- 1 (cos (* 2 (* (PI) u2))))) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(- 1 (cos (* 2 (* (PI) u2)))) |
(- (cos (* 2 (* (PI) u2))) 1) |
(pow (cos (* 2 (* (PI) u2))) 3) |
(* (PI) u2) |
(/ (- 0 (* u1 u1)) (+ 0 u1)) |
(* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1))) |
(* (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))) (* u1 u1)) |
(* (* 2 (PI)) u2) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(* (PI) (PI)) |
(* (* -2 (* u2 u2)) (* (PI) (PI))) |
| Outputs |
|---|
(pow.f32 (/.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))))) |
(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))))) |
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))) #s(literal 2 binary32)) |
(/.f32 (neg.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))))) #s(literal -2 binary32)) |
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))))) #s(literal -2 binary32)) |
(/.f32 (*.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) #s(literal -2 binary32)) |
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))) #s(literal 2 binary32))) |
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)))) |
(*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(neg.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))) #s(literal -2 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #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 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))) #s(literal 1 binary32))) |
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))) #s(literal 2 binary32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))) #s(literal -2 binary32)) |
(/.f32 (+.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal 2 binary32)) (*.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal 2 binary32)) (pow.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 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))))) #s(literal 2 binary32)) |
(/.f32 (*.f32 (+.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (+.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal 2 binary32)) (*.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32)))) |
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.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))) #s(literal -1 binary32))) #s(literal 2 binary32))) |
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(+.f32 (*.f32 #s(literal 0 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 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))))))))) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 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)))))))) u1) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 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)))))))) u1)) |
(/.f32 u1 (/.f32 #s(literal 1 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 (neg.f32 u1) (/.f32 #s(literal -1 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 u1 u1) (*.f32 (/.f32 #s(literal -1 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)))))))) (neg.f32 u1))) |
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(/.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal 1 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 u1 u1))) |
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (/.f32 #s(literal -1 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 u1 u1))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (*.f32 (/.f32 #s(literal 1 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)))))))) (neg.f32 u1))) |
(/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 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 #s(literal 0 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (*.f32 (neg.f32 u1) (/.f32 #s(literal -1 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 (*.f32 u1 u1)) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 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 (*.f32 u1 u1)) #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 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)))))))))) |
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(+.f32 (/.f32 #s(literal 1 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 (neg.f32 (*.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 #s(literal 1 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 #s(literal 1 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 binary32)) (*.f32 (/.f32 #s(literal 1 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)))))))) (neg.f32 (*.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 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
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(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (neg.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 (*.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 #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 (/.f32 #s(literal 1 binary32) (-.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))))))))) (+.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))))))) (neg.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 (*.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 #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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.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 #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))))))))) (neg.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 (*.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 #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 #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 #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 #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 1 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))))))))) |
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(/.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.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))) (*.f32 u1 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) u1) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) (-.f32 (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))) #s(literal 1/2 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 (*.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 #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 1/2 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))))) 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)))))) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) u1) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) |
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) |
(pow.f32 (PI.f32) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(cbrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (PI.f32) (PI.f32)) |
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (PI.f32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 (PI.f32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (PI.f32)))) |
(*.f32 #s(literal -2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 (*.f32 u2 (*.f32 u2 #s(literal -2 binary32))) (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 (*.f32 u2 #s(literal -2 binary32)))) |
(*.f32 (*.f32 u2 #s(literal -2 binary32)) (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (PI.f32))) (PI.f32)) |
(*.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32)) |
(*.f32 (*.f32 (*.f32 (PI.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 #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (PI.f32))) #s(literal 1 binary32)) (PI.f32)) |
(*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (PI.f32))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 u2 u2) (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
| 1× | egg-herbie |
| 9416× | *-lowering-*.f32 |
| 9416× | *-lowering-*.f64 |
| 4890× | +-lowering-+.f64 |
| 4890× | +-lowering-+.f32 |
| 1754× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 800 | 10373 |
| 1 | 2808 | 8996 |
| 0 | 9559 | 8996 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(+ (* -1/8 (* (sqrt (pow u1 3)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))) |
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* -1/12 (* (sqrt u1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))) |
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* u1 (+ (* -1/4 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* -1/12 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))))) |
(* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/4 (* (/ (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))) |
(* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(+ (* -1/4 (* (/ (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))) |
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* 1/4 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* -1/4 (* (/ (* (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))) |
(* (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))))) (* 1/2 (* (* (pow u2 2) (* (sqrt -1) (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (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) (+ (* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4))))))) (* 1/2 (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* -8/45 (pow (PI) 6))) (+ (* -4 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/3 (pow (PI) 6)) (+ (* 2 (* (pow (PI) 2) (+ (* -4 (pow (PI) 4)) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 2 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))))) (sqrt (log (- 1 u1)))))))))) |
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 1/2 (* (pow u2 2) (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/2 (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* -8/45 (pow (PI) 6))) (+ (* -4 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/3 (pow (PI) 6)) (+ (* 2 (* (pow (PI) 2) (+ (* -4 (pow (PI) 4)) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 2 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))))) (* 1/2 (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))))) |
(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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2 |
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2)))) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -4/45 (pow (PI) 6)) (* 2/315 (* (pow u2 2) (pow (PI) 8))))))))) |
(- (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) |
(* -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))) |
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(* (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)))))) |
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(* (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))) |
(* (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)))))) |
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(+ (* -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))))) |
(+ (* 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 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1))))))))))) |
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI)))))) |
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3))))))) |
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))) |
(* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (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 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) |
(sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) |
(+ (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 2))))) |
(+ (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 4))))))) |
(+ (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 4)))))))) |
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 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 (+ (* 1/6 (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 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(+ (* -1/8 (* (sqrt (pow u1 3)) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* -1/12 (* (sqrt u1) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))))) |
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* u1 (+ (* -1/4 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) (* -1/12 (* (sqrt (/ 1 u1)) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))))))) |
(* 1/2 (* (* (sqrt -1) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/4 (* (/ (* (sqrt -1) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))) |
(* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
(+ (* -1/4 (* (/ (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))) (* 1/4 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) (* -1/4 (* (/ (* (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -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)) (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -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))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (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) (+ (* -2/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 1/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1)))))))))) |
(* -1 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) |
(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1))))))) |
(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1))))))) |
(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1))))))) |
(* -1 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) |
(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1))))))) |
(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1))))))) |
(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 1/2 (* (/ (* (sqrt -1) (+ 1 (cos (* 2 (* u2 (PI)))))) (pow u2 2)) (sqrt (log (- 1 u1))))))) |
1 |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4))))))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2))))) |
(* -1 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2))))) |
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/2 (/ (+ 1 (cos (* 2 (* u2 (PI))))) (pow u2 2))))) |
2 |
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2)))) |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (+ (/ 1 (pow u2 2)) (/ (cos (* 2 (* u2 (PI)))) (pow u2 2))))) |
(* (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))) |
(* 2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2)))) |
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2)))) |
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 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))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -4/45 (pow (PI) 6)) (* 2/315 (* (pow u2 2) (pow (PI) 8))))))))) |
(- (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) |
1 |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))))))) |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))))))))))) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(* 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 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* 1/4 (pow u1 2)) |
(* (pow u1 2) (+ 1/4 (* 1/3 u1))) |
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1))))) |
(* (pow u1 2) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1))))))) |
(* 1/16 (pow u1 6)) |
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1)))) |
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1))))) |
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3))))))) |
(* 1/16 (pow u1 6)) |
(* (pow u1 6) (+ 1/16 (* 1/6 (/ 1 u1)))) |
(* (pow u1 6) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1))))) |
(* (pow u1 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1)))) |
(* 1/2 (pow u1 2)) |
(* (pow u1 2) (+ 1/2 (* 1/3 u1))) |
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))) |
(* (pow u1 2) (+ 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))))) |
(* 1/4 (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))))) |
(* 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))) |
(* 1/2 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))) |
| Outputs |
|---|
(* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
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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)) (* 1/2 (* (pow u2 2) (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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2 |
#s(literal 2 binary32) |
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2)))) |
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -4 binary32))))) |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))) |
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(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 4/3 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* -8/45 (pow (PI) 6))) (+ (* -4 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/3 (pow (PI) 6)) (+ (* 2 (* (pow (PI) 2) (+ (* -4 (pow (PI) 4)) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 2 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))))) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt (/ (* u1 (- 1 (* (pow u1 2) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2)))) (- 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
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(sqrt u1) |
(sqrt.f32 u1) |
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(+ (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)))))))))) |
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(* 1/2 (pow u1 2)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) |
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1)))) |
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1))) |
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(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3))))))) |
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(* (pow u1 2) (* (sqrt -1) (sqrt -1/4))) |
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u1 |
(* u1 (+ 1 (* 1/2 u1))) |
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(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
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(* 1/4 (pow u1 4)) |
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(* 1/4 (pow u1 4)) |
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(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))) |
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1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 u1)) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) |
(+ 1 (* u1 (+ 1/2 (* 1/3 u1)))) |
(+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/3 binary32))))) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))) |
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(* 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))))) |
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(* (pow u1 3) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))) |
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(* 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))) |
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(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2)))) u1)) 1/4))) |
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(* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
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(* 1/2 (* (* (sqrt -1) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
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(* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (+ (cos (* 2 (* u2 (PI)))) (* -2 (* (pow u2 2) (pow (PI) 2)))))))) |
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(* (sqrt (log (- 1 u1))) (sqrt -1)) |
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1 |
#s(literal 1 binary32) |
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2 |
#s(literal 2 binary32) |
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(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)) |
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(* (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)) (*.f32 #s(literal -1 binary32) (*.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)) (*.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(*.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
Compiled 48047 to 4093 computations (91.5% saved)
56 alts after pruning (53 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1031 | 21 | 1052 |
| Fresh | 8 | 32 | 40 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1044 | 56 | 1100 |
| Status | Accuracy | Program |
|---|---|---|
| 4.6% | (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) | |
| 86.0% | (+.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 -2 binary32) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (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)))))))))))) | |
| 93.2% | (*.f32 (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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.5% | (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.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))))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) | |
| 90.8% | (*.f32 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 90.3% | (*.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 21.8% | (*.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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 15.4% | (*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ▶ | 93.9% | (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.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)))))))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 93.8% | (*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal 1 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 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 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)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 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)))))))) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 94.0% | (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 90.0% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.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))) | |
| 93.8% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 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 #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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 94.5% | (*.f32 (sqrt.f32 (*.f32 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 #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 #s(literal 1/3 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 (-.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 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 13/36 binary32))))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.6% | (*.f32 (sqrt.f32 (*.f32 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 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.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 (*.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)))) | |
| ✓ | 94.0% | (*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 92.2% | (*.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))) | |
| 76.5% | (*.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)) | |
| 88.0% | (*.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))) | |
| 73.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) | |
| 93.8% | (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.5% | (*.f32 (sqrt.f32 (*.f32 u1 (neg.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 91.4% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.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)))))))) | |
| 48.8% | (*.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)) | |
| 98.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) 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))) | |
| 81.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))))) #s(literal 1 binary32)) | |
| ▶ | 81.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
| 81.4% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) | |
| 81.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) | |
| ▶ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) #s(literal 2 binary32))) |
| 98.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (-.f32 (+.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)))))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 90.6% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 2 binary32))) | |
| 98.7% | (*.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 (-.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32))) | |
| 82.8% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 98.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) | |
| 90.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) | |
| ✓ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| 51.2% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) | |
| ▶ | 76.6% | (*.f32 (sqrt.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))) |
| 76.7% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 76.7% | (*.f32 (sqrt.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)))))))) | |
| ▶ | 65.8% | (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
| ✓ | 4.5% | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
| 91.1% | (*.f32 (exp.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 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 4.5% | (*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) | |
| 77.7% | (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) | |
| 77.7% | (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))))))))) | |
| 81.5% | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) | |
| 49.5% | (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) | |
| 79.8% | (exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) |
Compiled 2966 to 2002 computations (32.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f32 u1) |
| ✓ | cost-diff | 3456 | (-.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))))) |
| ✓ | cost-diff | 3456 | (/.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)) |
| ✓ | cost-diff | 3456 | (*.f32 (sqrt.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))) |
| ✓ | cost-diff | 64 | (*.f32 (-.f32 #s(literal 0 binary32) (*.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)))))))) |
| ✓ | cost-diff | 224 | (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.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)))))))) (neg.f32 u1)) |
| ✓ | cost-diff | 224 | (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.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)))))))) (neg.f32 u1))) |
| ✓ | cost-diff | 224 | (*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.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)))))))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ✓ | cost-diff | 128 | (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))) |
| ✓ | cost-diff | 128 | (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1)))) |
| ✓ | cost-diff | 128 | (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
| ✓ | cost-diff | 192 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 u1) |
| ✓ | cost-diff | 64 | (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
| ✓ | cost-diff | 3200 | (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) |
| ✓ | cost-diff | 3200 | (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) #s(literal 2 binary32)) |
| ✓ | cost-diff | 3200 | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) #s(literal 2 binary32))) |
| 2120× | +-lowering-+.f64 |
| 2120× | +-lowering-+.f32 |
| 2014× | *-lowering-*.f32 |
| 2014× | *-lowering-*.f64 |
| 1590× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 522 |
| 1 | 160 | 487 |
| 2 | 497 | 471 |
| 3 | 1656 | 449 |
| 0 | 8053 | 449 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) 2)) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(neg (log (+ 1 (neg u1)))) |
(log (+ 1 (neg u1))) |
(neg u1) |
u1 |
(/ (+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) 2) |
(+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) |
(/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) |
1 |
(+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1))) |
(* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)) |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
2 |
(* (PI) u2) |
(PI) |
u2 |
(+ (cos (* 2 (* (PI) u2))) -1) |
-1 |
(+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) |
(pow (cos (* 2 (* (PI) u2))) 3) |
3 |
(* (sqrt u1) 1) |
(sqrt u1) |
u1 |
1 |
(* (sqrt (neg (log (+ 1 (/ (* u1 u1) (neg u1)))))) 1) |
(sqrt (neg (log (+ 1 (/ (* u1 u1) (neg u1)))))) |
(neg (log (+ 1 (/ (* u1 u1) (neg u1))))) |
(log (+ 1 (/ (* u1 u1) (neg u1)))) |
(/ (* u1 u1) (neg u1)) |
(* u1 u1) |
u1 |
(neg u1) |
1 |
(* (sqrt (/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1))) (cos (* (* 2 (PI)) u2))) |
(sqrt (/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1))) |
(/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1)) |
(* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
(- 0 (* u1 u1)) |
0 |
(* u1 u1) |
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 |
(neg u1) |
(cos (* (* 2 (PI)) u2)) |
(* (* 2 (PI)) u2) |
(* 2 (PI)) |
2 |
(PI) |
u2 |
(* (sqrt u1) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
(sqrt u1) |
u1 |
(/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2) |
(- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) |
(+ 1 (cos (* 2 (* (PI) u2)))) |
1 |
(cos (* 2 (* (PI) u2))) |
(* 2 (* (PI) u2)) |
2 |
(* (PI) u2) |
(PI) |
u2 |
(- 1 (cos (* 2 (* (PI) u2)))) |
| Outputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) 2)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))))) #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 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) 2) |
(/.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))))) #s(literal 2 binary32)) |
(+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) |
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))))) |
(/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1))) |
(+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))) |
(* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #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 |
#s(literal 2 binary32) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
(PI) |
(PI.f32) |
u2 |
(+ (cos (* 2 (* (PI) u2))) -1) |
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) |
(+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) |
(pow (cos (* 2 (* (PI) u2))) 3) |
(pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) |
3 |
#s(literal 3 binary32) |
(* (sqrt u1) 1) |
(sqrt.f32 u1) |
(sqrt u1) |
(sqrt.f32 u1) |
u1 |
1 |
#s(literal 1 binary32) |
(* (sqrt (neg (log (+ 1 (/ (* u1 u1) (neg u1)))))) 1) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt (neg (log (+ 1 (/ (* u1 u1) (neg u1)))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg (log (+ 1 (/ (* u1 u1) (neg u1))))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log (+ 1 (/ (* u1 u1) (neg u1)))) |
(log1p.f32 (neg.f32 u1)) |
(/ (* u1 u1) (neg u1)) |
(neg.f32 u1) |
(* u1 u1) |
(*.f32 u1 u1) |
u1 |
(neg u1) |
(neg.f32 u1) |
1 |
#s(literal 1 binary32) |
(* (sqrt (/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1))) (cos (* (* 2 (PI)) u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (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 (/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg 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))))))))) |
(/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg 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)))))))) |
(* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
(*.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)))))))) |
(- 0 (* u1 u1)) |
(neg.f32 (*.f32 u1 u1)) |
0 |
#s(literal 0 binary32) |
(* u1 u1) |
(*.f32 u1 u1) |
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) |
(neg u1) |
(neg.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 |
(* (sqrt u1) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))) #s(literal 2 binary32)) |
(sqrt u1) |
(sqrt.f32 u1) |
u1 |
(/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2) |
(/.f32 (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32)) |
(- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) |
(*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(+ 1 (cos (* 2 (* (PI) u2)))) |
(+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
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 |
#s(literal 2 binary32) |
(* (PI) u2) |
(*.f32 (PI.f32) u2) |
(PI) |
(PI.f32) |
u2 |
(- 1 (cos (* 2 (* (PI) u2)))) |
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | accuracy | 99.1% | (-.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))))) |
| ✓ | accuracy | 99.0% | (*.f32 (PI.f32) u2) |
| ✓ | accuracy | 37.8% | (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| ✓ | accuracy | 99.2% | (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) |
| ✓ | accuracy | 99.2% | (*.f32 u1 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| ✓ | accuracy | 98.9% | (*.f32 (-.f32 #s(literal 0 binary32) (*.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)))))))) |
| ✓ | accuracy | 100.0% | (neg.f32 u1) |
| ✓ | accuracy | 100.0% | (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))) |
| ✓ | accuracy | 99.7% | (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
| ✓ | accuracy | 99.6% | (/.f32 (*.f32 u1 u1) (neg.f32 u1)) |
| ✓ | accuracy | 100.0% | (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
| ✓ | accuracy | 100.0% | (sqrt.f32 u1) |
| ✓ | accuracy | 99.3% | (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) |
| ✓ | accuracy | 99.0% | (*.f32 (PI.f32) u2) |
| ✓ | accuracy | 98.9% | (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) |
| ✓ | accuracy | 37.8% | (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) |
| 209.0ms | 256× | 0 | valid |
Compiled 566 to 56 computations (90.1% saved)
ival-mult: 29.0ms (24.5% of total)compiled-spec: 18.0ms (15.2% of total)ival-add: 15.0ms (12.7% of total)ival-sqrt: 12.0ms (10.1% of total)ival-div: 9.0ms (7.6% of total)ival-log: 8.0ms (6.7% of total)ival-cos: 7.0ms (5.9% of total)...c/correct-round.rkt:119:19: 4.0ms (3.4% of total)ival-pow: 4.0ms (3.4% of total)ival-neg: 4.0ms (3.4% of total)ival-sub: 3.0ms (2.5% of total)const: 2.0ms (1.7% of total)ival-pi: 1.0ms (0.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) 2))> |
#<alt (/ (+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) 2)> |
#<alt (+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1))> |
#<alt (sqrt (neg (log (+ 1 (neg u1)))))> |
#<alt (* (sqrt u1) 1)> |
#<alt (sqrt u1)> |
#<alt (* (sqrt (neg (log (+ 1 (/ (* u1 u1) (neg u1)))))) 1)> |
#<alt (sqrt (neg (log (+ 1 (/ (* u1 u1) (neg u1))))))> |
#<alt (neg (log (+ 1 (/ (* u1 u1) (neg u1)))))> |
#<alt (log (+ 1 (/ (* u1 u1) (neg u1))))> |
#<alt (* (sqrt (/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1))) (cos (* (* 2 (PI)) u2)))> |
#<alt (sqrt (/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1)))> |
#<alt (/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1))> |
#<alt (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))))> |
#<alt (* (sqrt u1) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2))> |
#<alt (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)> |
#<alt (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2)))))> |
#<alt (+ (cos (* 2 (* (PI) u2))) -1)> |
#<alt (pow (cos (* 2 (* (PI) u2))) 3)> |
#<alt (* (PI) u2)> |
#<alt (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))> |
#<alt (/ (* u1 u1) (neg u1))> |
#<alt (neg u1)> |
#<alt (* (* 2 (PI)) u2)> |
#<alt (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4)))))> |
#<alt (+ 1/3 (* u1 1/4))> |
#<alt (- 1 (cos (* 2 (* (PI) u2))))> |
#<alt (+ 1 (cos (* 2 (* (PI) u2))))> |
| Outputs |
|---|
#<alt (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))> |
#<alt (+ (* -1/8 (* (sqrt (pow u1 3)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))> |
#<alt (+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* -1/12 (* (sqrt u1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))))> |
#<alt (+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* u1 (+ (* -1/4 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* -1/12 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))))))> |
#<alt (* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))> |
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#<alt (+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))> |
#<alt (+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))))> |
#<alt (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))> |
#<alt (+ (* -1/4 (* (/ (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))> |
#<alt (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* 1/4 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* -1/4 (* (/ (* (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/4 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) u1)) (* 1/2 (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))> |
#<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))))) (* 1/2 (* (* (pow u2 2) (* (sqrt -1) (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (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) (+ (* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4))))))) (* 1/2 (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* -8/45 (pow (PI) 6))) (+ (* -4 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/3 (pow (PI) 6)) (+ (* 2 (* (pow (PI) 2) (+ (* -4 (pow (PI) 4)) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 2 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))))) (sqrt (log (- 1 u1))))))))))> |
#<alt (* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))> |
#<alt (* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))> |
#<alt (* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))> |
#<alt (* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))> |
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#<alt (* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))> |
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#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/2 (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* -8/45 (pow (PI) 6))) (+ (* -4 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/3 (pow (PI) 6)) (+ (* 2 (* (pow (PI) 2) (+ (* -4 (pow (PI) 4)) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 2 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))))) (* 1/2 (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))))> |
#<alt (* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))> |
#<alt (* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))> |
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#<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 (* 1/4 (pow u1 4))> |
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))> |
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))> |
#<alt (* 1/4 (pow u1 4))> |
#<alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))> |
#<alt (* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))> |
#<alt (* -1 (pow u1 2))> |
#<alt (* (pow u1 2) (- (* -1/2 u1) 1))> |
#<alt (* (pow u1 2) (- (* u1 (- (* -1/3 u1) 1/2)) 1))> |
#<alt (* (pow u1 2) (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))> |
#<alt (* -1/4 (pow u1 5))> |
#<alt (* -1 (* (pow u1 5) (+ 1/4 (* 1/3 (/ 1 u1)))))> |
#<alt (* (pow u1 5) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))> |
#<alt (* (pow u1 5) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1)))))> |
#<alt (* -1/4 (pow u1 5))> |
#<alt (* -1 (* (pow u1 5) (+ 1/4 (* 1/3 (/ 1 u1)))))> |
#<alt (* -1 (* (pow u1 5) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))> |
#<alt (* -1 (* (pow u1 5) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))> |
#<alt (sqrt u1)> |
#<alt (+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2)))))> |
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4)))))))> |
#<alt (+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4))))))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))> |
#<alt (* (sqrt u1) (cos (* 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 2> |
#<alt (+ 2 (* -4 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4))))))> |
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -8/45 (* (pow u2 2) (pow (PI) 6))) (* 4/3 (pow (PI) 4)))))))> |
#<alt (* 2 (cos (* 2 (* u2 (PI)))))> |
#<alt (* 2 (cos (* 2 (* u2 (PI)))))> |
#<alt (* 2 (cos (* 2 (* u2 (PI)))))> |
#<alt (* 2 (cos (* 2 (* u2 (PI)))))> |
#<alt (* 2 (cos (* 2 (* u2 (PI)))))> |
#<alt (* 2 (cos (* 2 (* u2 (PI)))))> |
#<alt (* 2 (cos (* 2 (* u2 (PI)))))> |
#<alt (* 2 (cos (* 2 (* u2 (PI)))))> |
#<alt (* -2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))> |
#<alt (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -4/45 (pow (PI) 6)) (* 2/315 (* (pow u2 2) (pow (PI) 8)))))))))> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt (- (cos (* 2 (* u2 (PI)))) 1)> |
#<alt 1> |
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))))))> |
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))))))))))))> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<alt (pow (cos (* 2 (* u2 (PI)))) 3)> |
#<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> |
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))> |
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))))))> |
#<alt (+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6)))))))))))))))> |
#<alt (+ 1 (pow (cos (* 2 (* u2 (PI)))) 3))> |
#<alt (+ 1 (pow (cos (* 2 (* u2 (PI)))) 3))> |
#<alt (+ 1 (pow (cos (* 2 (* u2 (PI)))) 3))> |
#<alt (+ 1 (pow (cos (* 2 (* u2 (PI)))) 3))> |
#<alt (+ 1 (pow (cos (* 2 (* u2 (PI)))) 3))> |
#<alt (+ 1 (pow (cos (* 2 (* u2 (PI)))) 3))> |
#<alt (+ 1 (pow (cos (* 2 (* u2 (PI)))) 3))> |
#<alt (+ 1 (pow (cos (* 2 (* u2 (PI)))) 3))> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -1 u1)> |
#<alt (* -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)))> |
#<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 1/3> |
#<alt (+ 1/3 (* 1/4 u1))> |
#<alt (+ 1/3 (* 1/4 u1))> |
#<alt (+ 1/3 (* 1/4 u1))> |
#<alt (* 1/4 u1)> |
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* 1/4 u1)> |
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* u1 (+ 1/4 (* 1/3 (/ 1 u1))))> |
#<alt (* 2 (* (pow u2 2) (pow (PI) 2)))> |
#<alt (* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2))))> |
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))> |
#<alt (* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (- 1 (cos (* 2 (* u2 (PI)))))> |
#<alt 2> |
#<alt (+ 2 (* -2 (* (pow u2 2) (pow (PI) 2))))> |
#<alt (+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))> |
#<alt (+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))> |
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))> |
#<alt (+ 1 (cos (* 2 (* u2 (PI)))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | u1 | @ | 0 | (* (sqrt u1) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
| 1.0ms | u1 | @ | -inf | (* (sqrt u1) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
| 0.0ms | u2 | @ | 0 | (* (sqrt u1) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
| 0.0ms | u2 | @ | inf | (* (sqrt u1) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
| 0.0ms | u2 | @ | -inf | (* (sqrt u1) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
| 1× | batch-egg-rewrite |
| 3586× | fma-lowering-fma.f32 |
| 3586× | fma-lowering-fma.f64 |
| 2024× | +-lowering-+.f64 |
| 2024× | +-lowering-+.f32 |
| 1968× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 416 |
| 1 | 367 | 283 |
| 2 | 3710 | 277 |
| 0 | 8555 | 277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (neg (log (+ 1 (neg u1))))) (/ (+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) 2)) |
(/ (+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) 2) |
(+ (* (/ 1 (+ 1 (* (cos (* 2 (* (PI) u2))) (+ (cos (* 2 (* (PI) u2))) -1)))) (+ 1 (pow (cos (* 2 (* (PI) u2))) 3))) (+ (cos (* 2 (* (PI) u2))) -1)) |
(sqrt (neg (log (+ 1 (neg u1))))) |
(* (sqrt u1) 1) |
(sqrt u1) |
(* (sqrt (neg (log (+ 1 (/ (* u1 u1) (neg u1)))))) 1) |
(sqrt (neg (log (+ 1 (/ (* u1 u1) (neg u1)))))) |
(neg (log (+ 1 (/ (* u1 u1) (neg u1))))) |
(log (+ 1 (/ (* u1 u1) (neg u1)))) |
(* (sqrt (/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1))) (cos (* (* 2 (PI)) u2))) |
(sqrt (/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1))) |
(/ (* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) (neg u1)) |
(* (- 0 (* u1 u1)) (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))))) |
(* (sqrt u1) (/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2)) |
(/ (- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) 2) |
(- (+ 1 (cos (* 2 (* (PI) u2)))) (- 1 (cos (* 2 (* (PI) u2))))) |
(+ (cos (* 2 (* (PI) u2))) -1) |
(pow (cos (* 2 (* (PI) u2))) 3) |
(* (PI) u2) |
(+ 1 (pow (cos (* 2 (* (PI) u2))) 3)) |
(/ (* u1 u1) (neg u1)) |
(neg u1) |
(* (* 2 (PI)) u2) |
(* u1 (+ 1/2 (* u1 (+ 1/3 (* u1 1/4))))) |
(+ 1/3 (* u1 1/4)) |
(- 1 (cos (* 2 (* (PI) u2)))) |
(+ 1 (cos (* 2 (* (PI) u2)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))))) |
(/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) |
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal 2 binary32)) |
(/.f32 (neg.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) #s(literal -2 binary32)) |
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) |
(/.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (neg.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) #s(literal -2 binary32)) |
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) |
(/.f32 (*.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) #s(literal -2 binary32)) |
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal 2 binary32))) |
(*.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) (*.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)))) |
(*.f32 (/.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)))) #s(literal 1/2 binary32)) |
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(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 6 binary32))) #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))) (-.f32 (*.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))))))) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (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)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 9 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 6 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) #s(literal -1 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))) |
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 6 binary32)) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))) |
(*.f32 #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) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))) |
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)))))) |
(*.f32 (-.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) |
(*.f32 (/.f32 (-.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (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))))))) |
(*.f32 (/.f32 (-.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) (-.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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) |
| 1× | egg-herbie |
| 7602× | *-lowering-*.f32 |
| 7602× | *-lowering-*.f64 |
| 3786× | +-lowering-+.f64 |
| 3786× | +-lowering-+.f32 |
| 1746× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 679 | 8609 |
| 1 | 2314 | 7363 |
| 0 | 8701 | 7363 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(+ (* -1/8 (* (sqrt (pow u1 3)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))) |
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* -1/12 (* (sqrt u1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))) |
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* u1 (+ (* -1/4 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* -1/12 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))))) |
(* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/4 (* (/ (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
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1 |
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2 |
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(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)) |
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(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
(sqrt u1) |
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(sqrt u1) |
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(+ (* (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))))) |
(+ (* 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 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1))))))))))) |
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI)))))) |
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI)))))))) |
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3))))))) |
(* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))) |
(* (pow u1 2) (+ (* -1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (* u1 (sqrt -1/4)))) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (* u1 (sqrt -1/4))))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) |
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))))) (sqrt -1/4))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (* (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 (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt -1/4)))) u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) |
(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)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 4))))))) |
(+ (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (pow (PI) 4)))))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (cos (* 2 (* u2 (PI))))) |
(* (sqrt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 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 (+ (* 1/6 (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 (pow u1 2)) |
(* (pow u1 2) (- (* -1/2 u1) 1)) |
(* (pow u1 2) (- (* u1 (- (* -1/3 u1) 1/2)) 1)) |
(* (pow u1 2) (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) |
(* -1/4 (pow u1 5)) |
(* -1 (* (pow u1 5) (+ 1/4 (* 1/3 (/ 1 u1))))) |
(* (pow u1 5) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4)) |
(* (pow u1 5) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1))))) |
(* -1/4 (pow u1 5)) |
(* -1 (* (pow u1 5) (+ 1/4 (* 1/3 (/ 1 u1))))) |
(* -1 (* (pow u1 5) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))) |
(* -1 (* (pow u1 5) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(sqrt u1) |
(+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2))))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4))))))) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (pow (PI) 6)))) (* 2/3 (* (sqrt u1) (pow (PI) 4)))))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(* (sqrt u1) (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) (+ (* -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 |
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2)))) |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -8/45 (* (pow u2 2) (pow (PI) 6))) (* 4/3 (pow (PI) 4))))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(* -2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))) |
(* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -4/45 (pow (PI) 6)) (* 2/315 (* (pow u2 2) (pow (PI) 8))))))))) |
(- (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) |
1 |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))))))) |
(+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))))))))))) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(pow (cos (* 2 (* u2 (PI)))) 3) |
(* 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 |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))))))) |
(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (+ (* 8 (pow (PI) 4)) (* (pow u2 2) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))))))))))) |
(+ 1 (pow (cos (* 2 (* u2 (PI)))) 3)) |
(+ 1 (pow (cos (* 2 (* u2 (PI)))) 3)) |
(+ 1 (pow (cos (* 2 (* u2 (PI)))) 3)) |
(+ 1 (pow (cos (* 2 (* u2 (PI)))) 3)) |
(+ 1 (pow (cos (* 2 (* u2 (PI)))) 3)) |
(+ 1 (pow (cos (* 2 (* u2 (PI)))) 3)) |
(+ 1 (pow (cos (* 2 (* u2 (PI)))) 3)) |
(+ 1 (pow (cos (* 2 (* u2 (PI)))) 3)) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -1 u1) |
(* -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 (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))) |
(* 1/2 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))) |
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)))) |
(* 2 (* (pow u2 2) (pow (PI) 2))) |
(* (pow u2 2) (- (* -2/3 (* (pow u2 2) (pow (PI) 4))) (* -2 (pow (PI) 2)))) |
(* (pow u2 2) (- (* (pow u2 2) (- (* 4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))) (* -2 (pow (PI) 2)))) |
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -2/315 (* (pow u2 2) (pow (PI) 8))) (* -4/45 (pow (PI) 6)))) (* 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))))) |
2 |
(+ 2 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(+ 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))))) |
| Outputs |
|---|
(* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))) |
(+ (* -1/8 (* (sqrt (pow u1 3)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))))) |
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/8 binary32)))) |
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* -1/12 (* (sqrt u1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))) |
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))) (+.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/12 binary32) (sqrt.f32 u1)))))) |
(+ (* 1/2 (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (* u1 (+ (* -1/4 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) (* -1/12 (* (sqrt (/ 1 u1)) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))))))) |
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))) (*.f32 u1 (*.f32 u1 (+.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/8 binary32))) (*.f32 u1 (+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/12 binary32))))))))) |
(* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) |
(+ (* -1/4 (* (/ (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 binary32)))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -1 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)) |
(+ (* -1/4 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/4 (* (/ (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* 1/2 (* (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
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(* (sqrt (log (- 1 u1))) (sqrt -1)) |
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(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
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(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
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(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
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(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
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(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
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(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
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(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
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(* 1/2 (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)))) |
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1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 1/2 (* (pow u2 2) (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))) |
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/2 (* (pow u2 2) (- (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* -8/45 (pow (PI) 6))) (+ (* -4 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/3 (pow (PI) 6)) (+ (* 2 (* (pow (PI) 2) (+ (* -4 (pow (PI) 4)) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 2 (* (pow (PI) 2) (+ (* 2/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))))))))) (* 1/2 (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))))) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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(* 1/2 (- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1)) |
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2 |
#s(literal 2 binary32) |
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2)))) |
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(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (- (* 4/3 (pow (PI) 4)) (+ (* -4 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(- (+ (cos (* 2 (* u2 (PI)))) (+ (/ 1 (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))) (/ (pow (cos (* 2 (* u2 (PI)))) 3) (+ 1 (* (cos (* 2 (* u2 (PI)))) (- (cos (* 2 (* u2 (PI)))) 1)))))) 1) |
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(* (sqrt u1) (pow (sqrt -1) 2)) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
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(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) |
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(+ (* (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)))))))) |
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(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
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(sqrt u1) |
(sqrt.f32 u1) |
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(* 1/2 (pow u1 2)) |
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(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1)))) |
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u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1))) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
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(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) |
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(* 1/4 (pow u1 4)) |
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32))) |
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))) |
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(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3)))))) |
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(* 1/4 (pow u1 4)) |
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(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))) |
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(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) |
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(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1)))) |
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(* -1 (pow u1 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) |
(* (pow u1 2) (- (* -1/2 u1) 1)) |
(*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(* (pow u1 2) (- (* u1 (- (* -1/3 u1) 1/2)) 1)) |
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(* (pow u1 2) (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) |
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(* -1/4 (pow u1 5)) |
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(* -1 (* (pow u1 5) (+ 1/4 (* 1/3 (/ 1 u1))))) |
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(* (pow u1 5) (- (* -1 (/ (+ 1/2 (/ 1 u1)) (pow u1 2))) (+ 1/4 (* 1/3 (/ 1 u1))))) |
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(* -1/4 (pow u1 5)) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
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(*.f32 (*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(sqrt u1) |
(sqrt.f32 u1) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
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(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
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(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -4 (* (pow u2 2) (pow (PI) 2)))) |
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(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 4/3 (* (pow u2 2) (pow (PI) 4)))))) |
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(+ 2 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -8/45 (* (pow u2 2) (pow (PI) 6))) (* 4/3 (pow (PI) 4))))))) |
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(* 2 (cos (* 2 (* u2 (PI))))) |
(*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
(*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(* 2 (cos (* 2 (* u2 (PI))))) |
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(* 2 (cos (* 2 (* u2 (PI))))) |
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(* 2 (cos (* 2 (* u2 (PI))))) |
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#s(literal 2 binary32) |
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2 |
#s(literal 2 binary32) |
(+ 2 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) |
(+ 2 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(+.f32 #s(literal 2 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))) |
(+ 2 (* (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 2 binary32) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 (*.f32 u2 u2) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -4/45 binary32) (*.f32 u2 u2)))))))) |
(+ 1 (cos (* 2 (* u2 (PI))))) |
(+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (cos (* 2 (* u2 (PI))))) |
(+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (cos (* 2 (* u2 (PI))))) |
(+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (cos (* 2 (* u2 (PI))))) |
(+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (cos (* 2 (* u2 (PI))))) |
(+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (cos (* 2 (* u2 (PI))))) |
(+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (cos (* 2 (* u2 (PI))))) |
(+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (cos (* 2 (* u2 (PI))))) |
(+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
Compiled 55545 to 3804 computations (93.2% saved)
63 alts after pruning (59 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1207 | 20 | 1227 |
| Fresh | 9 | 39 | 48 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1220 | 63 | 1283 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (/.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))))) | |
| 4.6% | (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) | |
| 86.0% | (+.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 (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 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) | |
| 71.1% | (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) | |
| 93.2% | (*.f32 (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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.5% | (*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.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))))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) | |
| 65.6% | (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) | |
| 93.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (*.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))))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 90.3% | (*.f32 (*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 21.8% | (*.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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 15.4% | (*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.8% | (*.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (*.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 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.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 #s(literal 0 binary32) (*.f32 u1 u1)))))) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.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 #s(literal 0 binary32) (*.f32 u1 u1)))))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.8% | (*.f32 (sqrt.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.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))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.7% | (*.f32 (sqrt.f32 (/.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))))))) (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 u1 u1)) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 76.7% | (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 88.0% | (*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 70.1% | (*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (/.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))))))) (neg.f32 u1))) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.8% | (*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal 1 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 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 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)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 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)))))))) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 94.0% | (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 90.0% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.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))) | |
| 94.5% | (*.f32 (sqrt.f32 (*.f32 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 #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 #s(literal 1/3 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 (-.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 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 13/36 binary32))))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.6% | (*.f32 (sqrt.f32 (*.f32 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 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1/3 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.9% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ✓ | 94.0% | (*.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))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 92.2% | (*.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))) | |
| 76.5% | (*.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)) | |
| 88.0% | (*.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))) | |
| 73.4% | (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) | |
| 93.8% | (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 93.5% | (*.f32 (sqrt.f32 (*.f32 u1 (neg.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 91.4% | (*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.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)))))))) | |
| 48.8% | (*.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)) | |
| 98.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) 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))) | |
| 81.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))))) #s(literal 1 binary32)) | |
| 81.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) | |
| 81.4% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) | |
| 81.3% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) | |
| 98.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (-.f32 (+.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)))))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 90.6% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 2 binary32))) | |
| 82.8% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) | |
| 98.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (+.f32 (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 binary32)) #s(literal 2 binary32))) | |
| 98.9% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) | |
| 90.7% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) | |
| ✓ | 99.2% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
| 51.2% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) | |
| ✓ | 76.6% | (*.f32 (sqrt.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))) |
| 71.0% | (*.f32 (sqrt.f32 u1) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 2 binary32))) | |
| 71.0% | (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) | |
| 76.7% | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 76.7% | (*.f32 (sqrt.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)))))))) | |
| ✓ | 4.5% | (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
| 4.5% | (*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(literal -1 binary32)) | |
| 77.7% | (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) | |
| 77.7% | (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))))))))) | |
| 81.5% | (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) | |
| 81.5% | (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) | |
| 49.5% | (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) | |
| 65.8% | (sqrt.f32 u1) | |
| 79.8% | (exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) | |
| 64.9% | (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
Compiled 4460 to 1685 computations (62.2% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.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 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
(*.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 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (neg.f32 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #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 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 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 (+.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 (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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 #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 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 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)))))))) 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 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (*.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))))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.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)))))))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (neg.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal 1 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 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (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 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.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 (-.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 u1 u1) (+.f32 #s(literal 1/4 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 (+.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))))))) (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 u1 u1)) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 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 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 13/36 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))))))))) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (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 (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 (*.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 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (/.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))))))) (neg.f32 u1))) (*.f32 u1 (*.f32 u1 (*.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 (-.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 #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 #s(literal 1/3 binary32)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 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 #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)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 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 #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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.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))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (*.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 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.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 #s(literal 0 binary32) (*.f32 u1 u1)))))) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.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 #s(literal 0 binary32) (*.f32 u1 u1)))))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 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 (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) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) |
(*.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 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))) (log1p.f32 (-.f32 (*.f32 u1 u1) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.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 (*.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)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (exp.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 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 (pow.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))))))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) |
(*.f32 (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)) (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 (*.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 (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))) |
(*.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 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u1 u1) u1)))))) #s(literal 1 binary32)) |
(*.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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 0 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))) (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal -1 binary32)) #s(literal 2 binary32))) |
(*.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 (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.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 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.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 (*.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 (*.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 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32))) (/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (-.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 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))) (log1p.f32 (-.f32 (*.f32 u1 u1) (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 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (*.f32 u1 u1) (*.f32 #s(literal 0 binary32) 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 (+.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)))))) (-.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)))) (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 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (/.f32 (-.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 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))) #s(literal 2 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.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 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32))) #s(literal 2 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32))))) (neg.f32 (-.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 (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 (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 (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 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (*.f32 u1 u1))) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (*.f32 (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (log1p.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.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 (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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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))))))))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
10 calls:
| 42.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 34.0ms | u1 |
| 31.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 30.0ms | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 29.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | cosTheta_i |
| 99.2% | 1 | u1 |
| 99.2% | 1 | u2 |
| 99.2% | 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))) |
| 99.2% | 1 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 99.2% | 1 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 99.2% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 99.2% | 1 | (-.f32 #s(literal 1 binary32) u1) |
| 99.2% | 1 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 99.2% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 75 to 64 computations (14.7% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.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 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
(*.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 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (neg.f32 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #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 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 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 (+.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 (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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 #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 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 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)))))))) 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 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (*.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))))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.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)))))))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (neg.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal 1 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 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (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 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.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 (-.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 u1 u1) (+.f32 #s(literal 1/4 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 (+.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))))))) (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 u1 u1)) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 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 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 13/36 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))))))))) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (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 (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 (*.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 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (/.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))))))) (neg.f32 u1))) (*.f32 u1 (*.f32 u1 (*.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 (-.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 #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 #s(literal 1/3 binary32)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 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 #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)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 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 #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))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32)))))))) (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.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))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (*.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 #s(literal 0 binary32) (*.f32 u1 u1)))) (*.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 #s(literal 0 binary32) (*.f32 u1 u1)))))) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (*.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 #s(literal 0 binary32) (*.f32 u1 u1)))))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) |
| 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 (-.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 #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 #s(literal 1/3 binary32)))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
9 calls:
| 21.0ms | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 19.0ms | u2 |
| 18.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 18.0ms | cosTheta_i |
| 18.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 1 | cosTheta_i |
| 98.2% | 2 | u1 |
| 98.8% | 2 | u2 |
| 98.2% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 98.2% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 98.2% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 98.2% | 2 | (-.f32 #s(literal 1 binary32) u1) |
| 98.8% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 98.8% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 59 to 50 computations (15.3% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.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 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
(*.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 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (neg.f32 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #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 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 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 (+.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 (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 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 #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 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 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)))))))) 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 2 binary32) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (*.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))))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.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)))))))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (neg.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.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)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (/.f32 #s(literal 1 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 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (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 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/3 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1)) (+.f32 (/.f32 #s(literal 1 binary32) (*.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 (-.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 u1 u1) (+.f32 #s(literal 1/4 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 (+.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))))))) (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (*.f32 u1 u1)) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 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 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1/4 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 13/36 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))))))))) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (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 (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 (*.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 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (/.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))))))) (neg.f32 u1))) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (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 (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
3 calls:
| 20.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 16.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 14.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | u2 |
| 98.7% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 98.7% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 21 to 18 computations (14.3% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.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 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
(*.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 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (neg.f32 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #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 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
3 calls:
| 11.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 11.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 10.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | u2 |
| 98.6% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 98.6% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 21 to 18 computations (14.3% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.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 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
(*.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 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (neg.f32 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #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 (*.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (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))) |
3 calls:
| 13.0ms | u2 |
| 11.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 9.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | u2 |
| 98.3% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 98.3% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 21 to 18 computations (14.3% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.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 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
(*.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 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (neg.f32 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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
| 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:
| 11.0ms | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 11.0ms | u1 |
| 11.0ms | u2 |
| 11.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 11.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | u1 |
| 97.2% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 97.2% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 97.2% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 97.2% | 2 | (-.f32 #s(literal 1 binary32) u1) |
| 97.8% | 2 | u2 |
| 97.8% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 97.8% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 55 to 47 computations (14.5% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.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 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
(*.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 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| Outputs |
|---|
(*.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))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
9 calls:
| 15.0ms | (-.f32 #s(literal 1 binary32) u1) |
| 14.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 13.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 12.0ms | u2 |
| 11.0ms | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 2 | u1 |
| 94.8% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 94.8% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 94.8% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 94.8% | 2 | (-.f32 #s(literal 1 binary32) u1) |
| 88.0% | 1 | cosTheta_i |
| 95.3% | 2 | u2 |
| 95.3% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 95.3% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 59 to 50 computations (15.3% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.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 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (*.f32 u1 u1))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))))) #s(literal 1 binary32)) |
(+.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))))) |
(+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 0 binary32) u1))))) #s(literal 1 binary32)) |
(*.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)) |
| Outputs |
|---|
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
8 calls:
| 17.0ms | u2 |
| 11.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 10.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 10.0ms | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 8.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | u1 |
| 89.6% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 89.6% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 89.6% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 89.6% | 2 | (-.f32 #s(literal 1 binary32) u1) |
| 91.5% | 2 | u2 |
| 91.5% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 91.5% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
Compiled 55 to 47 computations (14.5% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.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 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) |
(sqrt.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 u1 u1) (neg.f32 u1))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
9 calls:
| 9.0ms | cosTheta_i |
| 9.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 8.0ms | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 6.0ms | u2 |
| 6.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | u1 |
| 85.2% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 85.2% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 85.2% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 85.2% | 2 | (-.f32 #s(literal 1 binary32) u1) |
| 81.5% | 1 | cosTheta_i |
| 85.9% | 2 | u2 |
| 85.9% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 85.9% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 59 to 50 computations (15.3% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
(sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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))))))))) |
5 calls:
| 7.0ms | cosTheta_i |
| 6.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 4.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 4.0ms | u2 |
| 4.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 1 | cosTheta_i |
| 81.4% | 2 | u1 |
| 82.1% | 2 | u2 |
| 82.1% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 82.1% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
Compiled 29 to 24 computations (17.2% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 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 (+.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -4 binary32))))) #s(literal 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (*.f32 u1 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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 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))))))))) |
3 calls:
| 4.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 4.0ms | u2 |
| 3.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 2 | u2 |
| 82.1% | 2 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 82.1% | 2 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
Compiled 21 to 18 computations (14.3% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.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 #s(literal 1/3 binary32))))))) #s(literal 1 binary32)) |
| 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))))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
2 calls:
| 3.0ms | u2 |
| 3.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 2 | u1 |
| 81.0% | 2 | u2 |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) |
3 calls:
| 5.0ms | u1 |
| 2.0ms | u2 |
| 2.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 2 | u1 |
| 73.4% | 1 | cosTheta_i |
| 78.1% | 2 | u2 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(sqrt.f32 u1) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) |
3 calls:
| 2.0ms | cosTheta_i |
| 2.0ms | u2 |
| 2.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.4% | 1 | cosTheta_i |
| 73.4% | 1 | u1 |
| 73.4% | 1 | u2 |
Compiled 12 to 9 computations (25% saved)
Total -19.9b remaining (-182%)
Threshold costs -19.9b (-182%)
| Inputs |
|---|
(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:
| 2.0ms | cosTheta_i |
| 2.0ms | u2 |
| 2.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.8% | 1 | u1 |
| 65.8% | 1 | u2 |
| 65.8% | 1 | cosTheta_i |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03907284513115883 | 0.04004964977502823 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03907284513115883 | 0.04004964977502823 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03907284513115883 | 0.04004964977502823 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03907284513115883 | 0.04004964977502823 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03797515481710434 | 0.03907284513115883 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999988675117493 | 0.9999991059303284 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999923706054688 | 0.9999927878379822 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999923706054688 | 0.9999927878379822 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999923706054688 | 0.9999927878379822 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999923706054688 | 0.9999927878379822 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006037948769517243 | 0.0006207163678482175 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006037948769517243 | 0.0006207163678482175 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | egg-herbie |
| 106× | *-commutative_binary32 |
| 58× | +-commutative_binary32 |
| 40× | sub-neg_binary32 |
| 34× | neg-sub0_binary32 |
| 34× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 514 |
| 1 | 168 | 514 |
| 2 | 205 | 514 |
| 3 | 239 | 514 |
| 4 | 263 | 514 |
| 5 | 290 | 514 |
| 6 | 300 | 514 |
| 7 | 305 | 514 |
| 8 | 306 | 514 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 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 (-.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 #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 #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 5368709/134217728 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 (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 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 (+.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 5368709/134217728 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 10200547/268435456 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 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777199/16777216 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))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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)))))))))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 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)))))))))) |
(if (<=.f32 u2 #s(literal 10651519/17179869184 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))))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) |
(if (<=.f32 u2 #s(literal 10651519/17179869184 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -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 u1) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 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 (-.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 #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 #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 5368709/134217728 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 (-.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 #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 #s(literal 1/3 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 5368709/134217728 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 (*.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)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5368709/134217728 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 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (*.f32 u1 u1)))))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 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 (+.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 u2 (*.f32 #s(literal 2 binary32) (PI.f32))) #s(literal 5368709/134217728 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 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))))))))) |
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/134217728 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 5368709/134217728 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 10200547/268435456 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 10200547/268435456 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 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777199/16777216 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))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 16777199/16777216 binary32)) (*.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)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 8388545/8388608 binary32)) (*.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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)))))))))) |
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 u1 (+.f32 #s(literal 1/3 binary32) (*.f32 u1 #s(literal 1/4 binary32))))) (+.f32 #s(literal 1/2 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)))))))))) |
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 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)))))))))) |
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 8388545/8388608 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 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)))))))))) |
(if (<=.f32 u2 #s(literal 10651519/17179869184 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))))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) |
(if (<=.f32 u2 #s(literal 10651519/17179869184 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 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) |
(if (<=.f32 u2 #s(literal 10651519/17179869184 binary32)) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))))) |
(if (<=.f32 u2 #s(literal 10651519/17179869184 binary32)) (sqrt.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -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 #s(literal 1/2 binary32))))) |
(sqrt.f32 u1) |
| 9416× | *-lowering-*.f32 |
| 9416× | *-lowering-*.f64 |
| 7602× | *-lowering-*.f32 |
| 7602× | *-lowering-*.f64 |
| 6758× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 306 | 3405 |
| 1 | 982 | 2777 |
| 2 | 3481 | 2544 |
| 0 | 8034 | 2544 |
| 0 | 800 | 10373 |
| 1 | 2808 | 8996 |
| 0 | 9559 | 8996 |
| 0 | 898 | 9372 |
| 1 | 3229 | 8038 |
| 0 | 8530 | 8038 |
| 0 | 679 | 8609 |
| 1 | 2314 | 7363 |
| 0 | 8701 | 7363 |
| 0 | 57 | 416 |
| 1 | 367 | 283 |
| 2 | 3710 | 277 |
| 0 | 8555 | 277 |
| 0 | 68 | 497 |
| 1 | 432 | 342 |
| 2 | 4344 | 324 |
| 0 | 8179 | 324 |
| 0 | 22 | 62 |
| 1 | 94 | 62 |
| 2 | 538 | 54 |
| 3 | 4579 | 54 |
| 0 | 8446 | 54 |
| 0 | 57 | 392 |
| 1 | 319 | 311 |
| 2 | 2813 | 307 |
| 0 | 8292 | 307 |
| 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× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1616 to 969 computations (40% saved)
(abs u2)
(abs cosTheta_i)
Compiled 1246 to 380 computations (69.5% saved)
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