
Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 18.7% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 28.1% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 32.8% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 49.2% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 57.4% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 61.5% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 71.8% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 37 to 24 computations (35.1% saved)
| 1.7s | 8 256× | 0 | valid |
| 1.0ms | 4× | 0 | invalid |
const: 475.0ms (34.7% of total)ival-log: 218.0ms (15.9% of total)ival-cosu: 188.0ms (13.7% of total)ival-<=: 109.0ms (8% of total)ival-mult: 104.0ms (7.6% of total)ival-sqrt: 68.0ms (5% of total)ival-sub: 64.0ms (4.7% of total)ival->: 62.0ms (4.5% of total)ival-neg: 39.0ms (2.8% of total)ival-and: 34.0ms (2.5% of total)exact: 6.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 199 | 10 | (0.9999152421951294 0.00873618759214878 2.1824835272354903e-8) | 3 | (0.9999762773513794 0.011138285510241985 5.21981337442412e-6) | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u1) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 0 | 0 | - | 0 | - | u2 |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 0 | 0 | - | 0 | - | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 0 | 0 | - | 0 | - | u1 |
| 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 | - | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 2 binary32) (PI.f32)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) | sensitivity | 206 | 18 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 191 | 2 |
| - | 15 | 48 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 191 | 2 | 0 |
| - | 15 | 16 | 32 |
| number | freq |
|---|---|
| 0 | 50 |
| 1 | 206 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 61.0ms | 512× | 0 | valid |
Compiled 217 to 103 computations (52.5% saved)
ival-mult: 9.0ms (22.9% of total)ival-cosu: 8.0ms (20.4% of total)ival-log: 8.0ms (20.4% of total)ival-sub: 5.0ms (12.7% of total)ival-sqrt: 3.0ms (7.6% of total)ival-pi: 2.0ms (5.1% of total)ival-neg: 2.0ms (5.1% of total)ival-true: 1.0ms (2.5% of total)exact: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 122 |
| 1 | 99 | 120 |
| 2 | 186 | 120 |
| 3 | 324 | 120 |
| 4 | 515 | 120 |
| 5 | 747 | 120 |
| 6 | 912 | 120 |
| 7 | 1252 | 120 |
| 8 | 1367 | 120 |
| 9 | 1553 | 120 |
| 10 | 1562 | 120 |
| 11 | 1566 | 120 |
| 12 | 1566 | 120 |
| 0 | 13 | 13 |
| 0 | 22 | 13 |
| 1 | 34 | 13 |
| 2 | 46 | 13 |
| 3 | 55 | 13 |
| 4 | 63 | 13 |
| 5 | 75 | 13 |
| 6 | 89 | 13 |
| 7 | 97 | 13 |
| 8 | 100 | 13 |
| 0 | 100 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| Outputs |
|---|
(*.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 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(abs u2)
(abs cosTheta_i)
Compiled 13 to 14 computations (-7.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.3% | (*.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 13 to 14 computations (-7.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| cost-diff | 0 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| cost-diff | 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))) | |
| cost-diff | 32 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 0 | 22 | 50 |
| 1 | 34 | 50 |
| 2 | 46 | 50 |
| 3 | 55 | 50 |
| 4 | 63 | 50 |
| 5 | 75 | 50 |
| 6 | 89 | 50 |
| 7 | 97 | 50 |
| 8 | 100 | 50 |
| 0 | 100 | 46 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
| Outputs |
|---|
(*.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 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) |
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(log1p.f32 (neg.f32 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| accuracy | 0.140625 | (*.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 | 0.3203125 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) | |
| accuracy | 14.93459502163036 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 59.0ms | 256× | 0 | valid |
Compiled 102 to 30 computations (70.6% saved)
ival-pi: 32.0ms (65.7% of total)ival-mult: 4.0ms (8.2% of total)ival-cosu: 4.0ms (8.2% of total)ival-log: 4.0ms (8.2% of total)ival-sqrt: 2.0ms (4.1% of total)ival-sub: 1.0ms (2.1% of total)ival-neg: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| Outputs |
|---|
(* -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)) |
(* (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))))))))))) |
(* (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)))))))) |
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))))))) |
(+ (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)) |
(* (* (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))))))))) |
(* (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))))))))) |
(* -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))))) |
(* -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))) |
(* (* (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))) (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))) |
(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)))) |
(* (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)))))))))) |
(* 2 (* u2 (PI))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | u2 | @ | inf | ((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2)) |
| 7.0ms | u2 | @ | -inf | ((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2)) |
| 3.0ms | u2 | @ | 0 | ((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2)) |
| 3.0ms | u1 | @ | inf | ((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2)) |
| 3.0ms | u1 | @ | -inf | ((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 1577 |
| 1 | 858 | 1298 |
| 2 | 2729 | 1175 |
| 3 | 6882 | 1138 |
| 0 | 8137 | 1093 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)) |
(* (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))))))))))) |
(* (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)))))))) |
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))))))) |
(+ (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)) |
(* (* (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))))))))) |
(* (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))))))))) |
(* -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))))) |
(* -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))) |
(* (* (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))) (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))) |
(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)))) |
(* (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)))))))))) |
(* 2 (* u2 (PI))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
| Outputs |
|---|
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- (* -1/2 u1) 1)) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1) |
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1) |
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 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 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 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 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (*.f32 u1 u1)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
(+ (* (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))))))))))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(neg.f32 (sqrt.f32 u1)) |
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) |
(-.f32 (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)) (sqrt.f32 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)))))))) |
(fma.f32 (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal -1/6 binary32) #s(literal -1/4 binary32)))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1))) |
u1 |
(* u1 (+ 1 (* 1/2 u1))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1) |
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) |
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) |
(+ (log -1) (* -1 (log (/ 1 u1)))) |
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) |
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1)) |
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1)) |
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) |
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1)) |
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1)) |
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1)) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) |
(+ (* -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))))))) |
(fma.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 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))))))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (fma.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(fma.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* -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)))))))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* -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))))))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) |
(* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) |
(neg.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) |
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) u1) u1) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) |
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1))))) |
(-.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 #s(literal 1/2 binary32) u1) u1)) (log.f32 u1)) (log.f32 #s(literal -1 binary32))) |
(* -1 (log (/ -1 u1))) |
(log.f32 (neg.f32 u1)) |
(- (* -1 (log (/ -1 u1))) (/ 1 u1)) |
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) u1)) |
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))) |
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1)) |
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1))) |
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) u1)) u1)) |
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) |
(*.f32 (neg.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (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))))) |
(fma.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (*.f32 (neg.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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))))) |
(fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (neg.f32 u1)))) u1) #s(literal 1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (/.f32 #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 (/.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1))) #s(literal -1/4 binary32)) (log.f32 (neg.f32 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (neg.f32 u1))))))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) |
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)) |
(neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) |
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) |
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(neg.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) u1) #s(literal 1/2 binary32)) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))) |
(-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1))) #s(literal -1/4 binary32)) (log.f32 (neg.f32 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (neg.f32 u1)))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) #s(literal -1/2 binary32))) u1) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) |
(log (/ -1 u1)) |
(log.f32 (/.f32 #s(literal -1 binary32) u1)) |
(- (/ 1 u1) (* -1 (log (/ -1 u1)))) |
(-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 u1))) |
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1)))) |
(-.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 (neg.f32 u1)) (/.f32 (/.f32 #s(literal 1/2 binary32) u1) u1))) |
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1)))) |
(-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1) (log.f32 (neg.f32 u1))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -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 (fma.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (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)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 u2 u2)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (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))))) (* (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)))))))))) |
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -4/45 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 u2 u2)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) |
(* 2 (* u2 (PI))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 33 |
| 0 | 22 | 33 |
| 1 | 65 | 33 |
| 2 | 320 | 33 |
| 3 | 2355 | 31 |
| 0 | 8649 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| Outputs |
|---|
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (+.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u1) (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))) |
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (log1p.f32 u1)) |
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (log1p.f32 u1))) |
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1)) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (log1p.f32 (*.f32 u1 u1))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (exp.f32 (neg.f32 (log1p.f32 u1))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32))))) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (log1p.f32 u1)) |
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) (pow.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)))) (log.f32 (+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) #s(literal 2 binary32)))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))) |
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32)))) |
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) |
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(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (*.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 4 binary32))) |
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1)))) |
(/.f32 (exp.f32 (log.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)))) (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1))) |
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1)) |
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))))) |
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) |
(/.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) |
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))))))) |
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) |
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log1p.f32 (fma.f32 u1 u1 u1))) |
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))) |
(-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) |
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))) |
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) |
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (log1p.f32 u1)) (log1p.f32 u1)) |
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (fabs.f32 (log1p.f32 u1))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) |
(-.f32 (log1p.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (log.f32 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) |
(-.f32 (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) (neg.f32 (log1p.f32 u1))) |
(-.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))) |
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) |
(-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 u1)) |
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) |
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 0 binary32)) |
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) #s(literal 0 binary32)) |
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) #s(literal 0 binary32)) |
(fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) #s(literal 0 binary32)) |
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) |
(fma.f32 #s(literal -1 binary32) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(fma.f32 #s(literal -1 binary32) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)))) |
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) #s(literal 0 binary32)) |
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32)) |
(pow.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) #s(literal -1 binary32)) |
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (log1p.f32 (*.f32 u1 u1))) |
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) |
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) |
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32))))) |
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) |
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) (log1p.f32 u1)) |
(+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))) |
(+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (neg.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))))) |
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))) |
(+.f32 (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32)) |
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)))) |
(exp.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) |
(neg.f32 (log1p.f32 u1)) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32)) |
(*.f32 (*.f32 u2 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 u2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) u2)) |
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2)) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) u2)) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2)) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))) |
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal 2 binary32)))) |
(*.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2) |
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 u2 #s(literal 2 binary32)))) |
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(*.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
Compiled 6 708 to 1 419 computations (78.8% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 8 | 281 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 273 | 9 | 282 |
| Status | Accuracy | Program |
|---|---|---|
| 47.7% | (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 48.3% | (*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ▶ | 49.2% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ▶ | 55.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
| ✓ | 55.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 61.7% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ▶ | 78.3% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ▶ | 46.8% | (*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ▶ | 3.5% | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
Compiled 283 to 268 computations (5.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) | |
| cost-diff | 0 | (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| cost-diff | 6464 | (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) | |
| cost-diff | 0 | (log.f32 (log1p.f32 u1)) | |
| cost-diff | 0 | (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | (*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| cost-diff | 6240 | (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) | |
| cost-diff | 0 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) | |
| cost-diff | 32 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) | |
| cost-diff | 800 | (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) | |
| cost-diff | 0 | (sqrt.f32 u1) | |
| cost-diff | 0 | (neg.f32 (sqrt.f32 u1)) | |
| cost-diff | 0 | #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) | |
| cost-diff | 0 | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| cost-diff | 0 | #s(approx (log (- 1 u1)) (neg.f32 u1)) | |
| cost-diff | 0 | (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) | |
| cost-diff | 0 | (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 310 |
| 0 | 76 | 283 |
| 1 | 110 | 277 |
| 2 | 143 | 277 |
| 3 | 163 | 277 |
| 4 | 177 | 277 |
| 5 | 196 | 277 |
| 6 | 220 | 277 |
| 7 | 224 | 277 |
| 0 | 224 | 267 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(neg.f32 u1) |
u1 |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt.f32 u1) |
u1 |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
(cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 u2 #s(literal 2 binary32)) |
u2 |
#s(literal 2 binary32) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) |
(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) |
(log.f32 (log1p.f32 u1)) |
(log1p.f32 u1) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
#s(literal -1/2 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
| Outputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(neg.f32 u1) |
u1 |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt.f32 u1) |
u1 |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) |
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(log1p.f32 (neg.f32 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
(cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) |
(*.f32 u2 #s(literal 2 binary32)) |
u2 |
#s(literal 2 binary32) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) |
(sqrt.f32 (log1p.f32 u1)) |
(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log.f32 (log1p.f32 u1))) |
(log.f32 (log1p.f32 u1)) |
(log1p.f32 u1) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(literal 2 binary32))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) |
(sqrt.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(literal 2 binary32))) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(literal 2 binary32)) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
#s(literal -1/2 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) | |
| accuracy | 0.140625 | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| accuracy | 0.3203125 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) | |
| accuracy | 16.917450299847783 | (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) | |
| accuracy | 0.1640625 | (*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| accuracy | 0.3203125 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) | |
| accuracy | 1.167098544015957 | (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) | |
| accuracy | 29.564841656145834 | (log1p.f32 u1) | |
| accuracy | 0.140625 | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) | |
| accuracy | 0.3828125 | (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) | |
| accuracy | 0.40824130861065216 | (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) | |
| accuracy | 14.93459502163036 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) | |
| accuracy | 0.06935502930532605 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) | |
| accuracy | 0.140625 | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| accuracy | 0.3203125 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) | |
| accuracy | 30.889536732754927 | #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) | |
| accuracy | 0.1171875 | (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) | |
| accuracy | 0.140625 | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| accuracy | 0.3203125 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) | |
| accuracy | 7.538065766260728 | #s(approx (log (- 1 u1)) (neg.f32 u1)) |
| 132.0ms | 256× | 0 | valid |
Compiled 612 to 82 computations (86.6% saved)
ival-log: 62.0ms (54.8% of total)ival-mult: 16.0ms (14.2% of total)ival-sqrt: 6.0ms (5.3% of total)ival-pow: 6.0ms (5.3% of total)ival-add: 5.0ms (4.4% of total)ival-cosu: 4.0ms (3.5% of total)ival-exp: 3.0ms (2.7% of total)ival-cos: 3.0ms (2.7% of total)ival-neg: 3.0ms (2.7% of total)ival-sub: 2.0ms (1.8% of total)ival-log1p: 2.0ms (1.8% of total)ival-pi: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt.f32 u1) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) |
(log.f32 (log1p.f32 u1)) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) |
(log1p.f32 u1) |
| Outputs |
|---|
(* (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))))))))))) |
(* (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)))))))) |
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 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)) |
(* -1 (sqrt u1)) |
(sqrt u1) |
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 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) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(* 1/2 (log u1)) |
(+ (* -1/4 u1) (* 1/2 (log u1))) |
(+ (* 1/2 (log u1)) (* u1 (- (* 5/48 u1) 1/4))) |
(+ (* 1/2 (log u1)) (* u1 (- (* u1 (+ 5/48 (* -1/16 u1))) 1/4))) |
(log u1) |
(+ (log u1) (* -1/2 u1)) |
(+ (log u1) (* u1 (- (* 5/24 u1) 1/2))) |
(+ (log u1) (* u1 (- (* u1 (+ 5/24 (* -1/8 u1))) 1/2))) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) |
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(+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))) |
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (sqrt 2) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (sqrt 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (/ 1 u1))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (/ 1/2 u1) (* 1/2 (/ 1 (pow u1 2))))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 u1) (* -1/24 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (/ 1/2 u1))) |
(+ (log -1) (* -1 (log (/ -1 u1)))) |
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))) |
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1)))) |
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 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)))))))))) |
(* 2 (* u2 (PI))) |
(sqrt (log (+ 1 u1))) |
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1)))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1)))))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1)))))))))) |
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 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))))))) |
(* 2 (* u2 (sqrt (PI)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))) |
(cos (* 2 (* u2 (PI)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 85.0ms | u2 | @ | inf | ((* (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 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1))) |
| 22.0ms | u2 | @ | -inf | ((* (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 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1))) |
| 19.0ms | u1 | @ | inf | ((* (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 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1))) |
| 7.0ms | u1 | @ | -inf | ((* (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 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1))) |
| 4.0ms | u1 | @ | 0 | ((* (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 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* (* u2 2) (sqrt (PI))) (sqrt (PI))))) (sqrt (neg (log (- 1 u1)))) (exp (* (log (log (+ 1 u1))) 1/2)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (* (* u2 2) (sqrt (PI))) (log (+ 1 u1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 869 | 5607 |
| 1 | 2637 | 4759 |
| 0 | 8237 | 4530 |
| 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))))))))))) |
(* (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)))))))) |
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 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)) |
(* -1 (sqrt u1)) |
(sqrt u1) |
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 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) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(* 1/2 (log u1)) |
(+ (* -1/4 u1) (* 1/2 (log u1))) |
(+ (* 1/2 (log u1)) (* u1 (- (* 5/48 u1) 1/4))) |
(+ (* 1/2 (log u1)) (* u1 (- (* u1 (+ 5/48 (* -1/16 u1))) 1/4))) |
(log u1) |
(+ (log u1) (* -1/2 u1)) |
(+ (log u1) (* u1 (- (* 5/24 u1) 1/2))) |
(+ (log u1) (* u1 (- (* u1 (+ 5/24 (* -1/8 u1))) 1/2))) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2))))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))))) |
(* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) |
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ (sqrt 2) (sqrt 1/2)))) (* (sqrt u1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (sqrt 2) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2))))))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (* (sqrt 2) (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))))))) |
(* 1/2 u1) |
(* u1 (+ 1/2 (* 1/4 u1))) |
(* u1 (+ 1/2 (* u1 (+ 1/4 (* 1/6 u1))))) |
(* u1 (+ 1/2 (* u1 (+ 1/4 (* u1 (+ 1/6 (* 1/8 u1))))))) |
(* u1 (+ 1 (* -1/2 u1))) |
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2)))) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2)))) |
(* (* (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))))))) |
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(* (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))))))) |
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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))))))))) |
(* -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) (* -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)) |
(* (sqrt (log (/ 1 u1))) (sqrt -1)) |
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))) |
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))) |
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (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)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))) |
(* 1/2 (log (* -1 (log (/ 1 u1))))) |
(- (* 1/2 (log (* -1 (log (/ 1 u1))))) (* 1/2 (/ 1 (* u1 (log (/ 1 u1)))))) |
(- (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1)))))) (/ 1/2 (* u1 (log (/ 1 u1))))) |
(- (+ (* 1/12 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1))))))) (/ 1/2 (* u1 (log (/ 1 u1))))) |
(log (* -1 (log (/ 1 u1)))) |
(- (log (* -1 (log (/ 1 u1)))) (/ 1 (* u1 (log (/ 1 u1))))) |
(- (+ (log (* -1 (log (/ 1 u1)))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2)))) (/ 1 (* u1 (log (/ 1 u1))))) |
(- (+ (log (* -1 (log (/ 1 u1)))) (+ (* 1/6 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))))) (/ 1 (* u1 (log (/ 1 u1))))) |
(* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(- (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 (* u1 (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (/ 1 (pow (sqrt -1) 2)) (/ u1 (pow (sqrt -1) 2))) (pow u1 2))) (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(- (+ (* 1/12 (/ (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4)))) (pow u1 4))) (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))) (+ (/ 1 (* u1 (pow (sqrt -1) 2))) (/ 1 (* (pow u1 2) (pow (sqrt -1) 2))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4))))) (* 1/16 (/ (pow u1 2) (* (log (* (sqrt (/ 1 u1)) (sqrt -1))) (pow (sqrt -1) 4))))))) (pow u1 4)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) |
(* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)) |
(+ (* -1/4 (* (/ (sqrt 2) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))) |
(+ (* -1/4 (* (/ (sqrt 2) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (sqrt 2) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (* -1/4 (* (/ (sqrt 2) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (sqrt 2) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/24 (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4))))) (* 1/16 (/ (pow u1 2) (* (log (* (sqrt (/ 1 u1)) (sqrt -1))) (pow (sqrt -1) 4)))))) (pow u1 4)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))))) |
(log (* (sqrt (/ 1 u1)) (sqrt -1))) |
(- (log (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2))))) |
(- (+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (/ -1/2 (* u1 (pow (sqrt -1) 2)))) (/ 1/2 (* (pow u1 2) (pow (sqrt -1) 2)))) |
(- (+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 1/24 (/ (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4)))) (pow u1 4))) (/ -1/2 (* u1 (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (* (pow u1 2) (pow (sqrt -1) 2))))) |
(* -1 (log (/ 1 u1))) |
(+ (* -1 (log (/ 1 u1))) (/ 1 u1)) |
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2))) |
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2))) |
(* (* (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))) (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))) |
(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 (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))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(+ (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ (* -1 (/ (- (* 1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(log (+ (log -1) (* -1 (log (/ -1 u1))))) |
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* 1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) |
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) |
(+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 u1)) |
(- (+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 (pow u1 2))) (/ -1 u1)) |
(- (+ (* -1 (/ (+ (* -1 u1) (* -1/12 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))) (/ -1 u1)) |
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))) |
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (sqrt 2) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (sqrt 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (/ 1 u1))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (/ 1/2 u1) (* 1/2 (/ 1 (pow u1 2))))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 u1) (* -1/24 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (/ 1/2 u1))) |
(+ (log -1) (* -1 (log (/ -1 u1)))) |
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))) |
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1)))) |
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 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)))))))))) |
(* 2 (* u2 (PI))) |
(sqrt (log (+ 1 u1))) |
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1)))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1)))))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1)))))))))) |
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 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))))))) |
(* 2 (* u2 (sqrt (PI)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))) |
(cos (* 2 (* u2 (PI)))) |
| Outputs |
|---|
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal -1/4 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
(+ (* (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))))))))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
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(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (sqrt.f32 #s(literal 2 binary32)) u1) (*.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (sqrt.f32 #s(literal 2 binary32)) u1) u1))) (*.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal 2 binary32)))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (sqrt 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(-.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (sqrt.f32 #s(literal 2 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))))) (*.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 (/.f32 (*.f32 u1 u1) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/16 binary32) (*.f32 (fma.f32 #s(literal -3 binary32) (*.f32 u1 u1) (*.f32 #s(literal 12 binary32) (*.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1 binary32)) u1))) #s(literal 1/24 binary32))) u1) (*.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) u1)))) (pow.f32 u1 #s(literal 3 binary32)))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (/ 1 u1))) |
(-.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -1/2 binary32) u1)) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (/ 1/2 u1) (* 1/2 (/ 1 (pow u1 2))))) |
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 u1) (* -1/24 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (/ 1/2 u1))) |
(+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (*.f32 u1 u1) (*.f32 #s(literal 12 binary32) (*.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1 binary32)) u1))) u1) (*.f32 #s(literal -1/2 binary32) u1)) (pow.f32 u1 #s(literal 3 binary32)))) (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))) |
(+ (log -1) (* -1 (log (/ -1 u1)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) |
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1))) |
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1)))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1)) |
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1)))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1)) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -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))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) (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)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (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))))) (* (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)))))))))) |
(fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))) |
(* 2 (* u2 (PI))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(sqrt (log (+ 1 u1))) |
(sqrt.f32 (log1p.f32 u1)) |
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1)))))))))) |
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (log1p.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))) |
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) (sqrt.f32 #s(literal 2 binary32)))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))) |
(fma.f32 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))) |
(fma.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 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))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32)) |
(* 2 (* u2 (sqrt (PI)))) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) |
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 208 |
| 0 | 76 | 175 |
| 1 | 163 | 156 |
| 0 | 698 | 150 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt.f32 u1) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) |
(log.f32 (log1p.f32 u1)) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) |
(log1p.f32 u1) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/2 binary32))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) |
(*.f32 #s(literal -1 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))) |
(*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal -1 binary32)) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1)))))) |
(-.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))) |
(+.f32 #s(literal 0 binary32) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))) |
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) |
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (sqrt.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))) |
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1)) |
(+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1))) |
(neg.f32 (sqrt.f32 u1)) |
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(sqrt.f32 u1) |
(pow.f32 u1 #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32)) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2) |
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(log.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))) |
(log1p.f32 (neg.f32 u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) |
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) |
(sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (sqrt.f32 #s(literal 0 binary32)) (sqrt.f32 #s(literal 0 binary32))) |
(/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))) |
(sqrt.f32 (log1p.f32 u1)) |
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) |
(pow.f32 (log1p.f32 u1) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (log1p.f32 u1)))) |
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (log1p.f32 u1))) |
(*.f32 #s(literal 1/2 binary32) (log.f32 (log1p.f32 u1))) |
(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) |
(log.f32 (log1p.f32 u1)) |
(log.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 u1))) |
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) |
(*.f32 #s(literal -1/2 binary32) (+.f32 (log1p.f32 (neg.f32 u1)) (log1p.f32 (neg.f32 u1)))) |
(*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1 binary32)) |
(*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (log1p.f32 (neg.f32 u1)) (log1p.f32 (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (log1p.f32 (neg.f32 u1)) (log1p.f32 (neg.f32 u1)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1))) |
(fma.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)))) |
(fma.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)))) |
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(+.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)))) |
(neg.f32 (log1p.f32 (neg.f32 u1))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) |
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))) |
(sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (sqrt.f32 #s(literal 0 binary32)) (sqrt.f32 #s(literal 0 binary32))) |
(/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32))) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) |
(*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1/2 binary32)) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32)) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32))) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2) |
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))) |
(-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) u2) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 u2 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (*.f32 u2 (sqrt.f32 (PI.f32)))) |
(log.f32 (+.f32 u1 #s(literal 1 binary32))) |
(-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 u1 u1) u1))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 (neg.f32 u1))) |
(exp.f32 (log.f32 (log1p.f32 u1))) |
(log1p.f32 u1) |
Compiled 10 330 to 1 519 computations (85.3% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 283 | 24 | 307 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 288 | 28 | 316 |
| Status | Accuracy | Program |
|---|---|---|
| 46.4% | (*.f32 (/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) | |
| 47.9% | (*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ▶ | 77.9% | (*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 47.8% | (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) | |
| 78.3% | (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 46.1% | (*.f32 (sqrt.f32 (/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 48.7% | (*.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 49.2% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) | |
| ✓ | 49.2% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 43.5% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| 25.6% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (*.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 47.0% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (*.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 46.3% | (*.f32 (sqrt.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 47.5% | (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) | |
| ✓ | 55.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
| ✓ | 55.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ▶ | 78.2% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) |
| 67.0% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 67.0% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| 61.7% | (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 38.2% | (*.f32 (exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 76.7% | (*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 77.3% | (*.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ▶ | 4.9% | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
| ▶ | 78.0% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
| 48.7% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) | |
| 43.1% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) | |
| ▶ | 78.3% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
Compiled 1 359 to 1 096 computations (19.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) | |
| cost-diff | 0 | (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) | |
| cost-diff | 64 | (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))) | |
| cost-diff | 0 | (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) | |
| cost-diff | 0 | (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) | |
| cost-diff | 0 | (*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| cost-diff | 6432 | (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) | |
| cost-diff | 0 | (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) | |
| cost-diff | 0 | (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32))) | |
| cost-diff | 0 | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) | |
| cost-diff | 0 | (sqrt.f32 u1) | |
| cost-diff | 0 | (neg.f32 (sqrt.f32 u1)) | |
| cost-diff | 0 | #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) | |
| cost-diff | 0 | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) | |
| cost-diff | 0 | (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) | |
| cost-diff | 0 | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 397 |
| 0 | 88 | 369 |
| 1 | 142 | 365 |
| 2 | 208 | 365 |
| 3 | 334 | 365 |
| 4 | 700 | 365 |
| 5 | 1528 | 365 |
| 6 | 2730 | 365 |
| 7 | 4390 | 365 |
| 8 | 6031 | 365 |
| 9 | 6932 | 365 |
| 10 | 7128 | 365 |
| 11 | 7208 | 365 |
| 12 | 7247 | 365 |
| 13 | 7248 | 365 |
| 14 | 7804 | 365 |
| 0 | 8008 | 352 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) |
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 (PI.f32) u2) |
(PI.f32) |
u2 |
#s(literal 2 binary32) |
(sqrt.f32 u1) |
u1 |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt.f32 u1) |
u1 |
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32))) |
(*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) |
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) |
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 (PI.f32) u2) |
(PI.f32) |
u2 |
#s(literal 2 binary32) |
(sqrt.f32 u1) |
u1 |
(sqrt.f32 #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(sqrt.f32 #s(literal 2 binary32)) |
(*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) |
(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(neg.f32 u1) |
u1 |
#s(literal 1/4 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(neg.f32 u1) |
u1 |
(-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))) |
(*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) |
(cos.f32 (*.f32 u2 (PI.f32))) |
(*.f32 u2 (PI.f32)) |
u2 |
(PI.f32) |
(*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) |
(sin.f32 (*.f32 u2 (PI.f32))) |
| Outputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2) |
(*.f32 (PI.f32) u2) |
(PI.f32) |
u2 |
#s(literal 2 binary32) |
(sqrt.f32 u1) |
u1 |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))) |
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt.f32 u1) |
u1 |
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))))) |
(*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32))) |
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))))) |
(*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2) |
(*.f32 (PI.f32) u2) |
(PI.f32) |
u2 |
#s(literal 2 binary32) |
(sqrt.f32 u1) |
u1 |
(sqrt.f32 #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(sqrt.f32 #s(literal 2 binary32)) |
(*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))) |
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(neg.f32 u1) |
u1 |
#s(literal 1/4 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) |
(*.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))) (+.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(neg.f32 u1) |
u1 |
(-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))) |
(*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (+.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))) |
(*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) |
(*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) |
(cos.f32 (*.f32 u2 (PI.f32))) |
(cos.f32 (*.f32 (PI.f32) u2)) |
(*.f32 u2 (PI.f32)) |
(*.f32 (PI.f32) u2) |
u2 |
(PI.f32) |
(*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) |
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) |
(sin.f32 (*.f32 u2 (PI.f32))) |
(sin.f32 (*.f32 (PI.f32) u2)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.265625 | (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))) | |
| accuracy | 0.3203125 | (*.f32 u2 (PI.f32)) | |
| accuracy | 0.5341987793053261 | (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) | |
| accuracy | 7.538065766260728 | #s(approx (log (- 1 u1)) (neg.f32 u1)) | |
| accuracy | 0.140625 | (*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| accuracy | 0.3203125 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) | |
| accuracy | 0.5003700683790941 | (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) | |
| accuracy | 7.538065766260728 | #s(approx (log (- 1 u1)) (neg.f32 u1)) | |
| accuracy | 0.2578125 | (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) | |
| accuracy | 0.3203125 | (*.f32 (PI.f32) u2) | |
| accuracy | 0.33984375 | (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32))) | |
| accuracy | 6.871679152709937 | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) | |
| accuracy | 0 | (neg.f32 (sqrt.f32 u1)) | |
| accuracy | 0.140625 | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| accuracy | 5.969016781779466 | #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) | |
| accuracy | 30.889536732754927 | #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) | |
| accuracy | 0.06935502930532605 | (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) | |
| accuracy | 0.125 | (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) | |
| accuracy | 0.3203125 | (*.f32 (PI.f32) u2) | |
| accuracy | 6.8390476041541834 | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
| 123.0ms | 256× | 0 | valid |
Compiled 725 to 113 computations (84.4% saved)
ival-mult: 27.0ms (26% of total)ival-log: 24.0ms (23.1% of total)ival-pow: 14.0ms (13.5% of total)ival-sqrt: 9.0ms (8.7% of total)ival-cosu: 7.0ms (6.7% of total)ival-log1p: 5.0ms (4.8% of total)ival-sinu: 4.0ms (3.9% of total)ival-exp: 3.0ms (2.9% of total)ival-cos: 3.0ms (2.9% of total)ival-neg: 3.0ms (2.9% of total)ival-sub: 2.0ms (1.9% of total)ival-pi: 1.0ms (1% of total)ival-add: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) |
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt.f32 u1) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32))) |
(*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) |
(*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
(-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(*.f32 (PI.f32) u2) |
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) |
(*.f32 u2 (PI.f32)) |
| Outputs |
|---|
(* (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) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(* (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))))))))))) |
(* (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)))))))) |
(* -1 (sqrt u1)) |
(sqrt u1) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2))))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))))) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))) |
(+ (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)))))))))) |
(pow (* 1 u1) 1/4) |
(+ (* 1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4)) |
(+ (* u1 (+ (* 23/384 (pow (* 1 (pow u1 5)) 1/4)) (* 1/8 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4)) |
(+ (* u1 (+ (* 1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* 39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 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))))))) |
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (* -1/6 (* (sqrt u1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))))) |
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) (* -1/6 (* (sqrt (/ 1 u1)) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))))))) |
(* -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)) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (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)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (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)))))))) (* (* (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))))))))) |
(* (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))))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4))))) (* 1/16 (/ (pow u1 2) (* (log (* (sqrt (/ 1 u1)) (sqrt -1))) (pow (sqrt -1) 4))))))) (pow u1 4)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) |
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4) |
(+ (* -1/4 (* (pow (/ -1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)) 1/4) (/ 1 u1))) (pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4)) |
(+ (* -1/4 (* (pow (/ -1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4) (/ (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (pow u1 2))) (pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4))) |
(+ (* -1/4 (* (pow (/ -1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)) 1/4) (/ 1 u1))) (+ (* (pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4) (/ (+ (* -1/8 (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (* 1/32 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) (pow u1 2))) (+ (* (pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4) (/ (- (+ (* -1/24 (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)))))) (* 1/32 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (* 1/384 (/ 1 (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 3)))) (pow u1 3))) (pow (* -1 (+ (log -1) (* -1 (log (/ 1 u1))))) 1/4)))) |
(* -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))))) |
(* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) (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))) 2) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(+ (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)) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(* (* (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))) (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))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/2))))) |
(sqrt (log (/ -1 u1))) |
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1))))))) |
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1))) |
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1))) |
(pow (* 1 (log (/ -1 u1))) 1/4) |
(+ (* 1/4 (* (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4) (/ 1 u1))) (pow (* 1 (log (/ -1 u1))) 1/4)) |
(+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (- (+ (* -1/32 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) (log (/ -1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ -1 u1)) 3)))) u1))) (* (pow (* 1 (log (/ -1 u1))) 1/4) (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4)) |
(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)))) |
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) |
(+ (* -1/2 (* (/ (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) |
(+ (* -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))) 2) (pow (sin (* u2 (PI))) 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))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) |
(* -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 (log (+ 1 u1))) |
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1)))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1)))))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 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)))))))) |
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))))))) |
(* 2 (* u2 (PI))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -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)))))))))) |
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))) |
(* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 2) (* (sqrt 1/2) (sqrt 2)))))) (* (sqrt u1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (* (sqrt 1/2) (sqrt 2))))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 4) (* (sqrt 1/2) (sqrt 2))))))))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (* (sqrt 1/2) (sqrt 2))))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 6) (* (sqrt 1/2) (sqrt 2)))))) (* 2/3 (* (sqrt u1) (* (pow (PI) 4) (* (sqrt 1/2) (sqrt 2)))))))))) |
(* (sqrt u1) (sqrt 1/2)) |
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 2) (sqrt 1/2))))) (* (sqrt u1) (sqrt 1/2))) |
(+ (* (sqrt u1) (sqrt 1/2)) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (sqrt 1/2)))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 4) (sqrt 1/2)))))))) |
(+ (* (sqrt u1) (sqrt 1/2)) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (sqrt 1/2)))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 6) (sqrt 1/2))))) (* 2/3 (* (sqrt u1) (* (pow (PI) 4) (sqrt 1/2))))))))) |
(+ 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)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2)))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (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) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (sqrt (log (- 1 u1))))))))) |
(* 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)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (pow (PI) 2))) |
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (+ (* 1/36 (pow (PI) 6)) (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))))))) (pow (PI) 2))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) |
(cos (* 2 (* u2 (PI)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))) |
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) |
(pow (sin (* u2 (PI))) 2) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | u2 | @ | inf | ((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (* (* (PI) u2) 2) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (* (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI))) |
| 27.0ms | u1 | @ | 0 | ((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (* (* (PI) u2) 2) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (* (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI))) |
| 26.0ms | u2 | @ | -inf | ((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (* (* (PI) u2) 2) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (* (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI))) |
| 10.0ms | u1 | @ | inf | ((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (* (* (PI) u2) 2) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (* (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI))) |
| 8.0ms | u2 | @ | 0 | ((* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (* (* (PI) u2) 2) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (* (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (cos (* (* 2 (PI)) u2))) (pow (neg (log (- 1 u1))) 1/4) (neg (log (- 1 u1))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI))))) (* (sqrt (neg (log (- 1 u1)))) (- (* (cos (* u2 (PI))) (cos (* u2 (PI)))) (* (sin (* u2 (PI))) (sin (* u2 (PI)))))) (sqrt (neg (log (- 1 u1)))) (* (PI) u2) (cos (* (* 2 (PI)) u2)) (log (- 1 u1)) (* (* 2 (PI)) u2) (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (* u2 (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 953 | 6038 |
| 1 | 2940 | 5131 |
| 2 | 7639 | 5121 |
| 0 | 8060 | 4901 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(* (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))))))))))) |
(* (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)))))))) |
(* -1 (sqrt u1)) |
(sqrt u1) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2))))))) |
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(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt 1/2))) |
(+ (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)))))))))) |
(pow (* 1 u1) 1/4) |
(+ (* 1/8 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4)) |
(+ (* u1 (+ (* 23/384 (pow (* 1 (pow u1 5)) 1/4)) (* 1/8 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4)) |
(+ (* u1 (+ (* 1/8 (pow (* 1 u1) 1/4)) (* u1 (+ (* 39/1024 (pow (* 1 (pow u1 5)) 1/4)) (* 23/384 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 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))))))) |
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) |
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(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) |
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))) |
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(* (* (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))))))) |
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(+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 1/2))))) |
(sqrt (log (/ -1 u1))) |
(+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1))))))) |
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1))) |
(+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1))) |
(pow (* 1 (log (/ -1 u1))) 1/4) |
(+ (* 1/4 (* (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4) (/ 1 u1))) (pow (* 1 (log (/ -1 u1))) 1/4)) |
(+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))) u1))) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (* 1 (log (/ -1 u1))) 1/4) (/ (- (+ (* -1/32 (/ (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2))) (log (/ -1 u1)))) (* 1/24 (- (* 3 (/ 1 (pow (log (/ -1 u1)) 2))) (+ (* 2 (/ 1 (log (/ -1 u1)))) (* 2 (/ 1 (pow (log (/ -1 u1)) 3))))))) (* 1/384 (/ 1 (pow (log (/ -1 u1)) 3)))) u1))) (* (pow (* 1 (log (/ -1 u1))) 1/4) (+ (* 1/8 (- (/ 1 (log (/ -1 u1))) (/ 1 (pow (log (/ -1 u1)) 2)))) (* 1/32 (/ 1 (pow (log (/ -1 u1)) 2)))))) u1)) (* -1/4 (pow (/ 1 (pow (log (/ -1 u1)) 3)) 1/4))) u1)) (pow (* 1 (log (/ -1 u1))) 1/4)) |
(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)))) |
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) |
(+ (* -1/2 (* (/ (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) |
(+ (* -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))) 2) (pow (sin (* u2 (PI))) 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))))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2))))) |
(* -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 (log (+ 1 u1))) |
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1)))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1)))))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 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)))))))) |
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))))))) |
(* 2 (* u2 (PI))) |
(* (sqrt (log (- 1 u1))) (sqrt -1)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1)))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -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)))))))))) |
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))) |
(* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 2) (* (sqrt 1/2) (sqrt 2)))))) (* (sqrt u1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (* (sqrt 1/2) (sqrt 2))))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 4) (* (sqrt 1/2) (sqrt 2))))))))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (* (sqrt 1/2) (sqrt 2))))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 6) (* (sqrt 1/2) (sqrt 2)))))) (* 2/3 (* (sqrt u1) (* (pow (PI) 4) (* (sqrt 1/2) (sqrt 2)))))))))) |
(* (sqrt u1) (sqrt 1/2)) |
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 2) (sqrt 1/2))))) (* (sqrt u1) (sqrt 1/2))) |
(+ (* (sqrt u1) (sqrt 1/2)) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (sqrt 1/2)))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 4) (sqrt 1/2)))))))) |
(+ (* (sqrt u1) (sqrt 1/2)) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (sqrt 1/2)))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 6) (sqrt 1/2))))) (* 2/3 (* (sqrt u1) (* (pow (PI) 4) (sqrt 1/2))))))))) |
(+ 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)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2)))) |
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2)))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (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) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1))))))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (sqrt (log (- 1 u1))))))))) |
(* 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)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (pow (PI) 2))) |
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (+ (* 1/36 (pow (PI) 6)) (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))))))) (pow (PI) 2))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) |
(cos (* 2 (* u2 (PI)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))) |
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) |
(pow (sin (* u2 (PI))) 2) |
| Outputs |
|---|
(* (sqrt u1) (cos (* 2 (* u2 (PI))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1)) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (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)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))) u1)) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1))) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) |
(*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (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)))) |
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1)) #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)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1)) #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))))))))))) |
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))) u1)) (*.f32 u1 u1) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1)) #s(literal -1 binary32))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(neg.f32 (sqrt.f32 u1)) |
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) |
(-.f32 (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1)) (sqrt.f32 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)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1))) |
(* -1 (sqrt u1)) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt u1) |
(sqrt.f32 u1) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) |
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2))))) |
(fma.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2))))))) |
(fma.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/12 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))))) |
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1 |
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(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 u2 u2)) (sqrt.f32 #s(literal 2 binary32)))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))) |
(fma.f32 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 u2 u2)) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal -4/45 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 u2 u2))))) (*.f32 u2 u2))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
(* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1)) |
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 2) (* (sqrt 1/2) (sqrt 2)))))) (* (sqrt u1) (* (sqrt 1/2) (sqrt 2)))) |
(fma.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 u2 u2)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (* (sqrt 1/2) (sqrt 2))))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 4) (* (sqrt 1/2) (sqrt 2))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 u2 u2)) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (* (sqrt 1/2) (sqrt 2))))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 6) (* (sqrt 1/2) (sqrt 2)))))) (* 2/3 (* (sqrt u1) (* (pow (PI) 4) (* (sqrt 1/2) (sqrt 2)))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 u1)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 #s(literal -4/45 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 u2 u2)))) (*.f32 u2 u2))) (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) |
(* (sqrt u1) (sqrt 1/2)) |
(*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 u1)) |
(+ (* -2 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 2) (sqrt 1/2))))) (* (sqrt u1) (sqrt 1/2))) |
(fma.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (sqrt 1/2)) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (sqrt 1/2)))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 4) (sqrt 1/2)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 u2 u2)) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (sqrt 1/2)) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (* (pow (PI) 2) (sqrt 1/2)))) (* (pow u2 2) (+ (* -4/45 (* (sqrt u1) (* (pow u2 2) (* (pow (PI) 6) (sqrt 1/2))))) (* 2/3 (* (sqrt u1) (* (pow (PI) 4) (sqrt 1/2))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 u1)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal -4/45 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 u2 u2)))) (*.f32 u2 u2))) (*.f32 u2 u2) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 u1))) |
(+ 1 (* (pow u2 2) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2)))) |
(fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (- (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* (pow u2 2) (- (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))) (* -1/3 (pow (PI) 4))))) (pow (PI) 2)))) |
(fma.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32)))) (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (* (pow u2 2) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (sqrt (log (- 1 u1))))) |
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (sqrt (log (- 1 u1))))))) |
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (* -1 (pow (PI) 2)) (pow (PI) 2)))) (* (pow u2 2) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))) (* -1/3 (pow (PI) 4))))) (* (* (pow u2 2) (* (sqrt -1) (- (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (sqrt (log (- 1 u1))))))))) |
(fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 u2 u2)))) |
(* u2 (PI)) |
(*.f32 u2 (PI.f32)) |
(* (pow u2 2) (pow (PI) 2)) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2)) |
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)) |
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))) (pow (PI) 2))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32)) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)) |
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (+ (* 1/36 (pow (PI) 6)) (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))))))) (pow (PI) 2))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2)) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) |
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1)))) |
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))) |
(- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)) |
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32))) |
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (pow (cos (* u2 (PI))) 2) (pow (sin (* u2 (PI))) 2)))) |
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))) |
(pow (sin (* u2 (PI))) 2) |
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 302 |
| 0 | 88 | 242 |
| 1 | 236 | 223 |
| 0 | 1289 | 214 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) |
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) |
(neg.f32 (sqrt.f32 u1)) |
(sqrt.f32 u1) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32))) |
(*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) |
(*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) |
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) |
(-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) |
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(*.f32 (PI.f32) u2) |
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) |
(*.f32 u2 (PI.f32)) |
| Outputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
(*.f32 (*.f32 (sqrt.f32 u1) (+.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))) |
(*.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) |
(/.f32 (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1)) #s(literal 1 binary32)) |
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 6 binary32))) (sqrt.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 (sqrt.f32 u1) (-.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)))) (fma.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) #s(literal 1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) |
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (sqrt.f32 u1) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) (sqrt.f32 u1))) |
(fma.f32 (sqrt.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (*.f32 (sqrt.f32 u1) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (sqrt.f32 u1)) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) (sqrt.f32 u1))) |
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(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) |
(pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) |
(pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/2 binary32)) |
(exp.f32 (fma.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32) (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32)) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2)) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2)) |
(*.f32 (PI.f32) u2) |
(*.f32 u2 (PI.f32)) |
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2)) |
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2) |
(*.f32 (PI.f32) (+.f32 u2 u2)) |
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))) |
(*.f32 u2 (+.f32 (PI.f32) (PI.f32))) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 0 binary32)) |
(/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) u2) #s(literal 3 binary32))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) |
(fma.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) u2)) |
(fma.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) u2)) |
(fma.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) u2)) |
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2)) |
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2)) |
(fma.f32 (PI.f32) u2 (*.f32 (PI.f32) u2)) |
(fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) |
(+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) |
(*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 1 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) |
(/.f32 (-.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal -2 binary32)) |
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 2 binary32))) |
(-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))) |
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
(+.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) |
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) u2))) #s(literal 2 binary32))) |
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32)) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2)) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2)) |
(*.f32 (PI.f32) u2) |
(*.f32 u2 (PI.f32)) |
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2)) |
Compiled 21 274 to 2 064 computations (90.3% saved)
44 alts after pruning (40 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 26 | 494 |
| Fresh | 6 | 14 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 478 | 44 | 522 |
| Status | Accuracy | Program |
|---|---|---|
| 77.9% | (*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ▶ | 78.4% | (*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 78.0% | (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) | |
| 77.8% | (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) | |
| 46.5% | (*.f32 (/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) | |
| 77.8% | (*.f32 (*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 8.1% | (*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 78.3% | (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 48.7% | (*.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 49.2% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) | |
| ✓ | 49.2% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ▶ | 43.5% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
| 25.4% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (*.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 47.0% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (*.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ✓ | 55.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
| ✓ | 55.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 67.8% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))))) | |
| 72.1% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2))))) | |
| 67.0% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 48.2% | (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) | |
| 62.6% | (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 76.7% | (*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) #s(literal 2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 38.2% | (*.f32 (exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ▶ | 76.7% | (*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 78.3% | (*.f32 #s(approx (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 77.3% | (*.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 4.9% | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| ✓ | 4.9% | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
| 67.2% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 76.6% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 78.1% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 78.0% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))))) | |
| 48.7% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) | |
| ▶ | 43.1% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
| 66.4% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) #s(approx (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1)))) | |
| 78.3% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal 2 binary32)) (sqrt.f32 u1))) | |
| 78.2% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (sqrt.f32 u1))) | |
| 78.3% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (sqrt.f32 u1))) | |
| 78.0% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))) | |
| 67.4% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))) | |
| 78.3% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))) | |
| 78.3% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) | |
| ▶ | 67.0% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
| 67.0% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
Compiled 2 576 to 1 991 computations (22.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) | |
| cost-diff | 0 | (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| cost-diff | 6464 | (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) | |
| cost-diff | 0 | (log.f32 u1) | |
| cost-diff | 0 | #s(approx (log (log (+ 1 u1))) (log.f32 u1)) | |
| cost-diff | 0 | (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | (*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| cost-diff | 0 | (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) | |
| cost-diff | 0 | (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))) | |
| cost-diff | 0 | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) | |
| cost-diff | 0 | (sqrt.f32 u1) | |
| cost-diff | 0 | #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1)) | |
| cost-diff | 0 | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) | |
| cost-diff | 0 | #s(approx (log (- 1 u1)) (neg.f32 u1)) | |
| cost-diff | 0 | (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) | |
| cost-diff | 0 | (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) | |
| cost-diff | 0 | (*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 355 |
| 0 | 88 | 333 |
| 1 | 119 | 330 |
| 2 | 134 | 330 |
| 3 | 139 | 330 |
| 4 | 147 | 330 |
| 5 | 159 | 330 |
| 6 | 181 | 330 |
| 7 | 189 | 330 |
| 8 | 191 | 330 |
| 9 | 193 | 330 |
| 10 | 196 | 330 |
| 11 | 199 | 330 |
| 0 | 199 | 313 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) |
(*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(neg.f32 u1) |
u1 |
#s(literal 1/4 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
#s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(sqrt.f32 u1) |
u1 |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))) |
(sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) u1) |
u1 |
(sqrt.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) |
(*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)) |
#s(approx (log (log (+ 1 u1))) (log.f32 u1)) |
(log.f32 u1) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
#s(literal -1/2 binary32) |
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) |
| Outputs |
|---|
(*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) |
(pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) |
(*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
(neg.f32 u1) |
u1 |
#s(literal 1/4 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
#s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(sqrt.f32 u1) |
u1 |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))) |
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) |
(sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) u1) |
u1 |
(sqrt.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) |
(sqrt.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)))) |
(*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)) |
#s(approx (log (log (+ 1 u1))) (log.f32 u1)) |
(log.f32 u1) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u2 |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(literal 2 binary32)))) |
(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) |
(sqrt.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(literal 2 binary32))) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(literal 2 binary32)) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
#s(literal -1/2 binary32) |
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) |
#s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) | |
| accuracy | 0.140625 | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| accuracy | 5.969016781779466 | #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) | |
| accuracy | 16.917450299847783 | (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) | |
| accuracy | 0.1640625 | (*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| accuracy | 0.3203125 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) | |
| accuracy | 1.167098544015957 | (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) | |
| accuracy | 5.920349003198448 | #s(approx (log (log (+ 1 u1))) (log.f32 u1)) | |
| accuracy | 0.16796875 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) | |
| accuracy | 0.31640625 | (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))) | |
| accuracy | 5.8136981295590004 | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) | |
| accuracy | 16.917450299847783 | (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) | |
| accuracy | 0 | (sqrt.f32 u1) | |
| accuracy | 0.125 | (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1)) | |
| accuracy | 5.969016781779466 | #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) | |
| accuracy | 6.8390476041541834 | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) | |
| accuracy | 0.140625 | (*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| accuracy | 0.3203125 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) | |
| accuracy | 0.356132519536884 | (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) | |
| accuracy | 7.538065766260728 | #s(approx (log (- 1 u1)) (neg.f32 u1)) |
| 94.0ms | 256× | 0 | valid |
Compiled 647 to 106 computations (83.6% saved)
ival-mult: 18.0ms (23.7% of total)ival-log: 15.0ms (19.8% of total)ival-pow: 10.0ms (13.2% of total)ival-cosu: 9.0ms (11.9% of total)ival-sqrt: 8.0ms (10.5% of total)ival-exp: 3.0ms (4% of total)ival-cos: 3.0ms (4% of total)ival-div: 2.0ms (2.6% of total)ival-sub: 2.0ms (2.6% of total)ival-log1p: 2.0ms (2.6% of total)ival-pi: 1.0ms (1.3% of total)ival-add: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) |
(*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
#s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) |
(sqrt.f32 u1) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))) |
(sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)) |
#s(approx (log (log (+ 1 u1))) (log.f32 u1)) |
(log.f32 u1) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) |
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) |
| Outputs |
|---|
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))))))) |
(* (sqrt u1) (sqrt -1)) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1))) |
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1))))))))) |
(pow u1 2) |
(* (pow u1 2) (+ 1 u1)) |
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1))))) |
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1))))))) |
(* -1 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)) |
(* (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) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) |
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) |
(sqrt u1) |
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2))))))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (* (sqrt 1/2) (sqrt 2)))) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))))) |
(* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) |
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ (sqrt 2) (sqrt 1/2)))) (* (sqrt u1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ (sqrt 2) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2))))))) |
(+ (* (sqrt u1) (* (sqrt 1/2) (sqrt 2))) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ (sqrt 2) (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (* (sqrt 2) (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))))))) |
(* (sqrt u1) (sqrt 1/2)) |
(+ (* 1/8 (* (sqrt (pow u1 3)) (/ 1 (sqrt 1/2)))) (* (sqrt u1) (sqrt 1/2))) |
(+ (* (sqrt u1) (sqrt 1/2)) (* (pow u1 2) (+ (* 1/12 (* (sqrt u1) (/ 1 (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 u1)) (/ 1 (sqrt 1/2))))))) |
(+ (* (sqrt u1) (sqrt 1/2)) (* (pow u1 2) (+ (* 1/8 (* (sqrt (/ 1 u1)) (/ 1 (sqrt 1/2)))) (* u1 (+ (* 1/12 (* (sqrt (/ 1 u1)) (/ 1 (sqrt 1/2)))) (* 1/2 (* (sqrt u1) (/ (- 1/8 (* 1/64 (/ 1 (* u1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))) |
(* 1/2 u1) |
(* u1 (+ 1/2 (* 1/4 u1))) |
(* u1 (+ 1/2 (* u1 (+ 1/4 (* 1/6 u1))))) |
(* u1 (+ 1/2 (* u1 (+ 1/4 (* u1 (+ 1/6 (* 1/8 u1))))))) |
(* 1/2 (log u1)) |
(+ (* -1/4 u1) (* 1/2 (log u1))) |
(+ (* 1/2 (log u1)) (* u1 (- (* 5/48 u1) 1/4))) |
(+ (* 1/2 (log u1)) (* u1 (- (* u1 (+ 5/48 (* -1/16 u1))) 1/4))) |
(log u1) |
(+ (log u1) (* -1/2 u1)) |
(+ (log u1) (* u1 (- (* 5/24 u1) 1/2))) |
(+ (log u1) (* u1 (- (* u1 (+ 5/24 (* -1/8 u1))) 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 |
(+ 1 u1) |
(+ 1 (* u1 (+ 1 u1))) |
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))) |
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1)))))))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) |
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 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 (+ (log -1) (* -1 (log (/ 1 u1)))))))) |
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 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)))) (+ 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 (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))) (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (+ 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 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))))) |
(pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2) |
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)) |
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (/ 1 (pow u1 2)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))) |
(+ (* -2 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) u1)) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 2))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ 1 u1)))) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 3)) (pow (+ (log -1) (* -1 (log (/ 1 u1)))) 2)))))) |
(+ (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)) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))) |
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (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)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4))))) (* 1/16 (/ (pow u1 2) (* (log (* (sqrt (/ 1 u1)) (sqrt -1))) (pow (sqrt -1) 4))))))) (pow u1 4)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) |
(* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)) |
(+ (* -1/4 (* (/ (sqrt 2) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))) |
(+ (* -1/4 (* (/ (sqrt 2) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (sqrt 2) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (* -1/4 (* (/ (sqrt 2) (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ (sqrt 2) (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/24 (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4))))) (* 1/16 (/ (pow u1 2) (* (log (* (sqrt (/ 1 u1)) (sqrt -1))) (pow (sqrt -1) 4)))))) (pow u1 4)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))))) |
(sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(+ (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (* -1/4 (* (/ 1 (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) |
(+ (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (+ (* -1/4 (* (/ 1 (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (/ 1 (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))))) |
(+ (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (+ (* -1/4 (* (/ 1 (* u1 (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* -1/4 (* (/ 1 (* (pow u1 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* 1/2 (* (/ (- (* 1/24 (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4))))) (* 1/16 (/ (pow u1 2) (* (log (* (sqrt (/ 1 u1)) (sqrt -1))) (pow (sqrt -1) 4))))) (pow u1 4)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))))) |
(log (* (sqrt (/ 1 u1)) (sqrt -1))) |
(- (log (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2))))) |
(- (+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (/ -1/2 (* u1 (pow (sqrt -1) 2)))) (/ 1/2 (* (pow u1 2) (pow (sqrt -1) 2)))) |
(- (+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 1/24 (/ (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4)))) (pow u1 4))) (/ -1/2 (* u1 (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (* (pow u1 2) (pow (sqrt -1) 2))))) |
(* 1/2 (log (* -1 (log (/ 1 u1))))) |
(- (* 1/2 (log (* -1 (log (/ 1 u1))))) (* 1/2 (/ 1 (* u1 (log (/ 1 u1)))))) |
(- (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1)))))) (/ 1/2 (* u1 (log (/ 1 u1))))) |
(- (+ (* 1/12 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1))))))) (/ 1/2 (* u1 (log (/ 1 u1))))) |
(log (* -1 (log (/ 1 u1)))) |
(- (log (* -1 (log (/ 1 u1)))) (/ 1 (* u1 (log (/ 1 u1))))) |
(- (+ (log (* -1 (log (/ 1 u1)))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2)))) (/ 1 (* u1 (log (/ 1 u1))))) |
(- (+ (log (* -1 (log (/ 1 u1)))) (+ (* 1/6 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))))) (/ 1 (* u1 (log (/ 1 u1))))) |
(* -1 (log (/ 1 u1))) |
(* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(- (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 (* u1 (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (/ 1 (pow (sqrt -1) 2)) (/ u1 (pow (sqrt -1) 2))) (pow u1 2))) (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(- (+ (* 1/12 (/ (- (* -12 (/ (* u1 (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow u1 2) (pow (sqrt -1) 4)))) (pow u1 4))) (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))) (+ (/ 1 (* u1 (pow (sqrt -1) 2))) (/ 1 (* (pow u1 2) (pow (sqrt -1) 2))))) |
(/ -1 u1) |
(* -1 (/ (+ 1 (/ 1 u1)) u1)) |
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1) |
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1) |
(* (sqrt (log (/ 1 u1))) (sqrt -1)) |
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))) |
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))) |
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 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 u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1)))) |
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)) (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))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (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)) (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))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1))))) |
(* (sqrt (log (/ -1 u1))) (sqrt -1)) |
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1)))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (sqrt -1)))) (* -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))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1))))) u1)) (* (sqrt (log (/ -1 u1))) (sqrt -1))) |
(pow (log (/ -1 u1)) 2) |
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2)) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2)) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2)) |
(* -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))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))) |
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (sqrt 2) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (sqrt 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (* 1/4 (* (/ 1 u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) |
(+ (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (+ (* 1/4 (* (/ 1 u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* 1/4 (* (/ 1 (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))))) |
(+ (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1)))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* u1 (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (* 1/4 (* (/ 1 u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (/ 1 u1))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (/ 1/2 u1) (* 1/2 (/ 1 (pow u1 2))))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 u1) (* -1/24 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (/ 1/2 u1))) |
(* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(+ (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ (* -1 (/ (- (* 1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(log (+ (log -1) (* -1 (log (/ -1 u1))))) |
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* 1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) |
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) |
(+ (log -1) (* -1 (log (/ -1 u1)))) |
(+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 u1)) |
(- (+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 (pow u1 2))) (/ -1 u1)) |
(- (+ (* -1 (/ (+ (* -1 u1) (* -1/12 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))) (/ -1 u1)) |
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1)) |
(sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) |
(sqrt (log (- 1 u1))) |
(+ (sqrt (log (- 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (- 1 u1)))))) |
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (- 1 u1)))))))) |
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (- 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (- 1 u1)))))))))) |
(sqrt (log (+ 1 u1))) |
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1)))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1)))))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 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)))))))) |
(+ 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))))))) |
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))) |
(* 2 (* u2 (PI))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) |
(cos (* 2 (* u2 (PI)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | u1 | @ | -inf | ((* (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (* (log (- 1 u1)) (log (- 1 u1))) (log (- 1 u1)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (log u1) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (/ 1 (- 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) |
| 61.0ms | u2 | @ | inf | ((* (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (* (log (- 1 u1)) (log (- 1 u1))) (log (- 1 u1)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (log u1) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (/ 1 (- 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) |
| 57.0ms | u2 | @ | -inf | ((* (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (* (log (- 1 u1)) (log (- 1 u1))) (log (- 1 u1)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (log u1) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (/ 1 (- 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) |
| 57.0ms | cosTheta_i | @ | 0 | ((* (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (* (log (- 1 u1)) (log (- 1 u1))) (log (- 1 u1)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (log u1) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (/ 1 (- 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) |
| 33.0ms | u1 | @ | 0 | ((* (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (cos (* (* 2 (PI)) u2))) (pow (* (log (- 1 u1)) (log (- 1 u1))) 1/4) (* (log (- 1 u1)) (log (- 1 u1))) (log (- 1 u1)) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (cos (* (* (PI) u2) 2)) (sqrt u1) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))) (log (sqrt (/ 1 (- 1 u1)))) (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (* (log (log (+ 1 u1))) 1/2) (log (log (+ 1 u1))) (log u1) (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (log (pow (- 1 u1) -1/2)) (* (* 2 (PI)) u2) (/ 1 (- 1 u1)) (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 973 | 6259 |
| 1 | 2947 | 5368 |
| 0 | 8293 | 5106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1) |
(* (sqrt (log (/ 1 u1))) (sqrt -1)) |
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))) |
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))) |
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 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 u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1)))) |
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)) (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))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (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)) (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))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ -1 u1))))) |
(* (sqrt (log (/ -1 u1))) (sqrt -1)) |
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1)))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (sqrt -1)))) (* -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))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (/ 1 (sqrt -1))))) u1)) (* (sqrt (log (/ -1 u1))) (sqrt -1))) |
(pow (log (/ -1 u1)) 2) |
(+ (* 2 (/ (log (/ -1 u1)) u1)) (pow (log (/ -1 u1)) 2)) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (log (/ -1 u1))) u1))) u1)) (pow (log (/ -1 u1)) 2)) |
(+ (* -1 (/ (+ (* -2 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (log (/ -1 u1)) (* -1 (/ (- (* -2/3 (log (/ -1 u1))) 1) u1)))) u1))) u1)) (pow (log (/ -1 u1)) 2)) |
(* -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))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(* -1 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 2))) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2))) |
(+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (+ (* 1/4 (* (/ (sqrt 2) (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* (* u1 (sqrt 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (+ (* 1/4 (* (/ (sqrt 2) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (sqrt 2)))) |
(+ (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (* 1/4 (* (/ 1 u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) |
(+ (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (+ (* 1/4 (* (/ 1 u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* 1/4 (* (/ 1 (pow u1 2)) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))))) |
(+ (sqrt (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* 1/24 (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2)))) (* 1/16 (/ (pow u1 2) (log (* (sqrt (/ 1 u1)) (sqrt -1)))))) u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))) (* -1/4 (* u1 (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1)))))))) (pow u1 3))) (* 1/4 (* (/ 1 u1) (sqrt (/ 1 (log (* (sqrt (/ 1 u1)) (sqrt -1))))))))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (/ 1 u1))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (/ 1/2 u1) (* 1/2 (/ 1 (pow u1 2))))) |
(+ (log (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 u1) (* -1/24 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (/ 1/2 u1))) |
(* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) |
(+ (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) |
(+ (* -1 (/ (- (* 1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(log (+ (log -1) (* -1 (log (/ -1 u1))))) |
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1))))))) |
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* 1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) |
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) |
(+ (log -1) (* -1 (log (/ -1 u1)))) |
(+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 u1)) |
(- (+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 (pow u1 2))) (/ -1 u1)) |
(- (+ (* -1 (/ (+ (* -1 u1) (* -1/12 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))) (/ -1 u1)) |
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1)) |
(sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) |
(sqrt (log (- 1 u1))) |
(+ (sqrt (log (- 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (- 1 u1)))))) |
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (- 1 u1)))))))) |
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (- 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (- 1 u1)))))))))) |
(sqrt (log (+ 1 u1))) |
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1)))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1)))))))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 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)))))))) |
(+ 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))))))) |
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))) |
(* 2 (* u2 (PI))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) |
(cos (* 2 (* u2 (PI)))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))) |
| Outputs |
|---|
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1)) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/4 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))))) |
(fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (sqrt -1))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ (cos (* 2 (* u2 (PI)))) (sqrt -1))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1/16 binary32) #s(literal 1/4 binary32)) (sqrt.f32 #s(literal -1 binary32))))) u1 (*.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 u1))) |
(* (sqrt u1) (sqrt -1)) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)) |
(+ (* -1/4 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1))) |
(fma.f32 (/.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/4 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* -1/6 (* (sqrt u1) (/ 1 (sqrt -1))))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1/16 binary32) #s(literal 1/4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/6 binary32))) u1 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/4 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (+ 1 u1)) |
(*.f32 (fma.f32 u1 u1 u1) u1) |
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* 11/12 u1))))) |
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 11/12 binary32) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) u1) |
(* (pow u1 2) (+ 1 (* u1 (+ 1 (* u1 (+ 11/12 (* 5/6 u1))))))) |
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 5/6 binary32) u1 #s(literal 11/12 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) u1) |
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- (* -1/2 u1) 1)) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1) |
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1) |
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u1 |
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1 |
#s(literal 1 binary32) |
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(log (+ (log -1) (* -1 (log (/ -1 u1))))) |
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(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) |
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(+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 u1)) |
(fma.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) |
(- (+ (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1)))) (/ 1 (pow u1 2))) (/ -1 u1)) |
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(- (+ (* -1 (/ (+ (* -1 u1) (* -1/12 (/ (- (* 12 (* u1 (+ 1 (* -1/4 u1)))) (* 3 (pow u1 2))) u1))) (pow u1 3))) (* 2 (log (* (sqrt (/ 1 u1)) (sqrt -1))))) (/ -1 u1)) |
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(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1)) |
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(sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) |
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(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 #s(literal 1/2 binary32) u1) (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) |
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1))) |
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(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) |
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(sqrt (log (- 1 u1))) |
(sqrt.f32 (log1p.f32 (neg.f32 u1))) |
(+ (sqrt (log (- 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (- 1 u1)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) |
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (- 1 u1)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) |
(+ (sqrt (log (- 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (- 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (- 1 u1)))))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (*.f32 u2 u2))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) |
(sqrt (log (+ 1 u1))) |
(sqrt.f32 (log1p.f32 u1)) |
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))) |
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1)))))))))) |
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (log1p.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))) |
(+ (sqrt u1) (* -2 (* (sqrt u1) (* (pow u2 2) (pow (PI) 2))))) |
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) (PI.f32)) (PI.f32)) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u2 2) (+ (* -2 (* (sqrt u1) (pow (PI) 2))) (* 2/3 (* (sqrt u1) (* (pow u2 2) (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) u2) u2) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (PI.f32)) (PI.f32))) (*.f32 u2 u2) (sqrt.f32 u1)) |
(+ (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)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 u1)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) u2) u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 u1)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2))) (*.f32 u2 u2) (sqrt.f32 u1)) |
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) |
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2)) (*.f32 u2 u2) #s(literal 1 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))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 u2 u2))) (*.f32 u2 u2) #s(literal 1 binary32)) |
(* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))) |
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2))) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) (sqrt.f32 #s(literal 2 binary32)))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))) |
(fma.f32 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
(+ (* (sqrt (log (sqrt (/ 1 (- 1 u1))))) (sqrt 2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (sqrt (/ 1 (- 1 u1))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))))))))) |
(fma.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) |
(* 2 (* u2 (PI))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (- 1 u1)))) |
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) |
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1)))) |
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) |
(cos (* 2 (* u2 (PI)))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) |
(* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (sqrt (/ 1 (- 1 u1)))))) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 293 |
| 0 | 88 | 253 |
| 1 | 194 | 206 |
| 0 | 771 | 192 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) |
(*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
#s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) |
(sqrt.f32 u1) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))) |
(sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
(log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)) |
#s(approx (log (log (+ 1 u1))) (log.f32 u1)) |
(log.f32 u1) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) |
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) |
| Outputs |
|---|
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/4 binary32))) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/4 binary32))) |
(*.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) |
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(*.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/4 binary32))) |
(pow.f32 (exp.f32 (log.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)))) #s(literal 1/4 binary32)) |
(pow.f32 (*.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) #s(literal 1/8 binary32)) |
(pow.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32))) #s(literal 1/4 binary32))) |
(*.f32 (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1 binary32)) (pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 1 binary32))) |
(*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) |
(pow.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 2 binary32))) |
#s(approx (log (- 1 u1)) (neg.f32 u1)) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32))) |
#s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) |
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) |
(sqrt.f32 u1) |
(pow.f32 u1 #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (sqrt.f32 #s(literal 2 binary32))) |
(sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (sqrt.f32 #s(literal 0 binary32)) (sqrt.f32 #s(literal 0 binary32))) |
(/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/4 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/4 binary32))) |
(sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) #s(literal 1/2 binary32))) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1/2 binary32)) |
(-.f32 #s(literal 0 binary32) (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) |
(neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1))))) |
(*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) |
#s(approx (log (log (+ 1 u1))) (log.f32 u1)) |
(log.f32 u1) |
(log.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32))) |
(*.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 u1))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) |
(*.f32 #s(literal -1/2 binary32) (+.f32 (log1p.f32 (neg.f32 u1)) (log1p.f32 (neg.f32 u1)))) |
(*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1 binary32)) |
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(fma.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) |
(*.f32 (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (sqrt.f32 #s(literal 2 binary32))) |
(sqrt.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (sqrt.f32 #s(literal 0 binary32)) (sqrt.f32 #s(literal 0 binary32))) |
(/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32))) |
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1/2 binary32)) |
(-.f32 #s(literal 0 binary32) (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) |
(neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))) |
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)) |
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))) |
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) |
(*.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) |
(exp.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (pow.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1))) #s(literal 1/4 binary32))) |
(sqrt.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)))) |
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) |
(pow.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1))) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) |
#s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) |
Compiled 12 438 to 1 616 computations (87% saved)
53 alts after pruning (45 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 288 | 17 | 305 |
| Fresh | 7 | 28 | 35 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 296 | 53 | 349 |
| Status | Accuracy | Program |
|---|---|---|
| 77.9% | (*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 78.0% | (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) | |
| 75.7% | (*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 78.4% | (*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 8.4% | (*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| -0.0% | (*.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| 78.3% | (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 48.7% | (*.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 49.2% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) | |
| ✓ | 49.2% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| ✓ | 43.5% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
| 25.7% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (*.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 47.0% | (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (*.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ✓ | 55.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
| ✓ | 55.3% | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 67.9% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))))) | |
| 72.1% | (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2))))) | |
| 76.7% | (*.f32 (sqrt.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 67.0% | (*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| 67.0% | (*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| 47.6% | (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) | |
| 61.5% | (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 38.2% | (*.f32 (exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| ✓ | 76.7% | (*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 76.7% | (*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))))) | |
| 78.3% | (*.f32 #s(approx (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 77.3% | (*.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) | |
| 4.9% | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) | |
| ✓ | 4.9% | (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
| 78.1% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 78.0% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))))) | |
| 41.1% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 46.4% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 43.4% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 48.7% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) | |
| ✓ | 43.1% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
| 42.7% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 32.8% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 66.8% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (*.f32 #s(literal 1/2 binary32) u1))) (sqrt.f32 #s(literal 2 binary32)))) | |
| 66.4% | #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) #s(approx (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1)))) | |
| 78.3% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal 2 binary32)) (sqrt.f32 u1))) | |
| 78.2% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (sqrt.f32 u1))) | |
| 78.3% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (sqrt.f32 u1))) | |
| 78.0% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))) | |
| 67.4% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))) | |
| 78.3% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))) | |
| 78.3% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) | |
| 67.0% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))) | |
| 66.7% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))))) | |
| ✓ | 67.0% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
| 66.1% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))) | |
| 67.0% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) | |
| 67.0% | #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
Compiled 3 723 to 1 648 computations (55.7% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (*.f32 #s(literal 1/2 binary32) u1))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) #s(approx (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 #s(approx (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))))) |
(*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal 2 binary32)) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (*.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) #s(approx (log (pow (- 1 u1) -1/2)) (*.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32)))))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) #s(literal 2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 (*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/8 binary32)) (*.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))) |
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) |
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)) #s(literal 0 binary32)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 2/45 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal -1/3 binary32))) (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
10 calls:
| 54.0ms | (-.f32 #s(literal 1 binary32) u1) |
| 53.0ms | u2 |
| 47.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 40.0ms | cosTheta_i |
| 40.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 1 | cosTheta_i |
| 92.3% | 2 | u1 |
| 78.4% | 1 | u2 |
| 91.9% | 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))) |
| 92.3% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 92.3% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 92.3% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 92.3% | 2 | (-.f32 #s(literal 1 binary32) u1) |
| 78.4% | 1 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 78.4% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
Compiled 45 to 64 computations (-42.2% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (*.f32 #s(literal 1/2 binary32) u1))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) #s(approx (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 #s(approx (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))))) |
(*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) #s(approx (* (sin (* u2 (PI))) (sin (* u2 (PI)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2))))) |
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal 2 binary32)) (sqrt.f32 u1))) |
| Outputs |
|---|
(*.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 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
5 calls:
| 24.0ms | (-.f32 #s(literal 1 binary32) u1) |
| 20.0ms | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 11.0ms | u1 |
| 11.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 10.0ms | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | u1 |
| 92.3% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 92.3% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 92.3% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 92.3% | 2 | (-.f32 #s(literal 1 binary32) u1) |
Compiled 19 to 29 computations (-52.6% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (*.f32 #s(literal 1/2 binary32) u1))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) #s(approx (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 #s(approx (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))))) |
(*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (pow.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) |
| Outputs |
|---|
(*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
6 calls:
| 42.0ms | (-.f32 #s(literal 1 binary32) u1) |
| 27.0ms | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 13.0ms | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 10.0ms | u1 |
| 9.0ms | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 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))) |
| 86.9% | 2 | u1 |
| 86.9% | 2 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 86.9% | 2 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 86.9% | 2 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 86.9% | 2 | (-.f32 #s(literal 1 binary32) u1) |
Compiled 32 to 43 computations (-34.4% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (*.f32 #s(literal 1/2 binary32) u1))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) #s(approx (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 #s(approx (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 #s(approx (* (pow (neg (log (- 1 u1))) 1/4) (pow (neg (log (- 1 u1))) 1/4)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))))) |
| Outputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32)))) |
1 calls:
| 9.0ms | (*.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 | Segments | Branch |
|---|---|---|
| 87.6% | 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 13 to 14 computations (-7.7% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (*.f32 #s(literal 1/2 binary32) u1))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) #s(approx (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| Outputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) |
10 calls:
| 23.0ms | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 10.0ms | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 7.0ms | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 7.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 6.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 1 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 78.3% | 1 | cosTheta_i |
| 78.3% | 1 | u2 |
| 78.3% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 78.3% | 1 | u1 |
| 78.3% | 1 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 78.3% | 1 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 78.3% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 78.3% | 1 | (-.f32 #s(literal 1 binary32) u1) |
| 78.3% | 1 | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
Compiled 45 to 64 computations (-42.2% saved)
Total -21.5b remaining (-203.4%)
Threshold costs -21.5b (-203.4%)
| Inputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(approx (log (sqrt (/ 1 (- 1 u1)))) (*.f32 #s(literal 1/2 binary32) u1))) (sqrt.f32 #s(literal 2 binary32)))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 #s(approx (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) #s(approx (* (* (* (cos (* (* (PI) u2) 2)) (sqrt u1)) (sqrt 1/2)) (sqrt 2)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (sqrt.f32 u1)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) |
| Outputs |
|---|
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
10 calls:
| 6.0ms | u2 |
| 5.0ms | (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) |
| 4.0ms | u1 |
| 4.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 4.0ms | cosTheta_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 1 | u1 |
| 67.0% | 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))) |
| 67.0% | 1 | (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 67.0% | 1 | (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) |
| 67.0% | 1 | (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) |
| 67.0% | 1 | cosTheta_i |
| 67.0% | 1 | u2 |
| 67.0% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) |
| 67.0% | 1 | (log.f32 (-.f32 #s(literal 1 binary32) u1)) |
| 67.0% | 1 | (-.f32 #s(literal 1 binary32) u1) |
Compiled 45 to 64 computations (-42.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9998937845230103 | 0.9998940229415894 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9998937845230103 | 0.9998940229415894 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.012618465349078178 | 0.013563069514930248 |
Compiled 16 to 20 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.012618465349078178 | 0.013563069514930248 |
Compiled 16 to 20 computations (-25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 281 |
| 1 | 93 | 281 |
| 2 | 100 | 281 |
| 3 | 104 | 281 |
| 4 | 105 | 281 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8387719/8388608 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8387719/8388608 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3489661/268435456 binary32)) (*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))) |
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3489661/268435456 binary32)) #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
| Outputs |
|---|
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8387719/8388608 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8387719/8388608 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)) (sqrt.f32 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)))) |
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8387719/8388608 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) |
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 8387719/8388608 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)))) |
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3489661/268435456 binary32)) (*.f32 (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))) |
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3489661/268435456 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (pow.f32 #s(approx (* (log (- 1 u1)) (log (- 1 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))))) |
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3489661/268435456 binary32)) #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 #s(literal 2 binary32))))) |
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3489661/268435456 binary32)) #s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (+.f32 u2 u2) (PI.f32))))) #s(approx (* (sqrt (+ (log (pow (- 1 u1) -1/2)) (log (pow (- 1 u1) -1/2)))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (+.f32 u2 u2) (PI.f32))))) |
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (*.f32 #s(approx (cos (* (* (PI) u2) 2)) #s(literal 1 binary32)) (sqrt.f32 u1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 293 |
| 0 | 88 | 253 |
| 1 | 194 | 206 |
| 0 | 771 | 192 |
| 0 | 59 | 302 |
| 0 | 88 | 242 |
| 1 | 236 | 223 |
| 0 | 1289 | 214 |
| 0 | 953 | 6038 |
| 1 | 2940 | 5131 |
| 2 | 7639 | 5121 |
| 0 | 8060 | 4901 |
| 0 | 43 | 208 |
| 0 | 76 | 175 |
| 1 | 163 | 156 |
| 0 | 698 | 150 |
| 0 | 13 | 33 |
| 0 | 22 | 33 |
| 1 | 65 | 33 |
| 2 | 320 | 33 |
| 3 | 2355 | 31 |
| 0 | 8649 | 23 |
| 0 | 973 | 6259 |
| 1 | 2947 | 5368 |
| 0 | 8293 | 5106 |
| 0 | 869 | 5607 |
| 1 | 2637 | 4759 |
| 0 | 8237 | 4530 |
| 0 | 289 | 1577 |
| 1 | 858 | 1298 |
| 2 | 2729 | 1175 |
| 3 | 6882 | 1138 |
| 0 | 8137 | 1093 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
Compiled 921 to 503 computations (45.4% saved)
(abs cosTheta_i)
(abs u2)
Compiled 948 to 424 computations (55.3% saved)
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