Time bar (total: 16.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 25% | 75% | 0 |
| 0% | 25% | 75% | 1 |
| 0% | 25% | 75% | 2 |
| 0% | 12.5% | 87.5% | 3 |
| 0% | 6.3% | 93.7% | 4 |
| 0% | 3.1% | 96.9% | 5 |
| 0% | 1.6% | 98.4% | 6 |
| 0% | 0.8% | 99.2% | 7 |
| 0% | 0.4% | 99.6% | 8 |
| 0.1% | 0.2% | 99.7% | 9 |
| 0.1% | 0.1% | 99.8% | 10 |
| 0.1% | 0% | 99.8% | 11 |
| 0.1% | 0% | 99.8% | 12 |
Compiled 107 to 71 computations (33.6% saved)
| 4.4s | 8256× | body | 256 | valid |
| 683.0ms | 1254× | body | 256 | invalid |
| 2× | egg-herbie |
| 847× | unswap-sqr_binary64 |
| 626× | associate-*l/_binary64 |
| 454× | associate-*r/_binary64 |
| 381× | associate-/l*_binary64 |
| 365× | distribute-rgt-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 152 |
| 1 | 91 | 82 |
| 2 | 321 | 58 |
| 3 | 1510 | 52 |
| 4 | 5398 | 49 |
| 5 | 6315 | 47 |
| 6 | 7322 | 47 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 1/2 (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (*.f64 3/4 (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))))) (*.f64 15/8 (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))))))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (fabs.f64 x))) (fma.f64 3/4 (/.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 1/2 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (/.f64 1 (fabs.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (fabs.f64 x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 6)) (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
Compiled 105 to 70 computations (33.3% saved)
| 1× | egg-herbie |
| 847× | unswap-sqr_binary64 |
| 626× | associate-*l/_binary64 |
| 454× | associate-*r/_binary64 |
| 381× | associate-/l*_binary64 |
| 365× | distribute-rgt-out_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 152 |
| 1 | 91 | 82 |
| 2 | 321 | 58 |
| 3 | 1510 | 52 |
| 4 | 5398 | 49 |
| 5 | 6315 | 47 |
| 6 | 7322 | 47 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 1/2 (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (*.f64 3/4 (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))))) (*.f64 15/8 (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))))))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (fabs.f64 x))) (fma.f64 3/4 (/.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 1/2 (pow.f64 (/.f64 1 (fabs.f64 x)) 3) (/.f64 1 (fabs.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 4) (fabs.f64 x)) (+.f64 3/4 (/.f64 15/8 (*.f64 x x)))))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fabs.f64 x)) (*.f64 (pow.f64 (/.f64 1 (fabs.f64 x)) 5) (+.f64 3/4 (/.f64 15/8 (*.f64 x x))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 15/8 (pow.f64 (fabs.f64 x) 6)) (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
Compiled 134 to 87 computations (35.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 2.8b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
| ▶ | 1.3b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
Compiled 135 to 91 computations (32.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) |
| ✓ | 0.5b | (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) |
| ✓ | 1.0b | (sqrt.f64 (PI.f64)) |
| ✓ | 2.5b | (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) |
Compiled 534 to 328 computations (38.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) |
| 1.0ms | x | @ | 0 | (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) |
| 1× | batch-egg-rewrite |
| 892× | pow1_binary64 |
| 829× | add-log-exp_binary64 |
| 828× | log1p-expm1-u_binary64 |
| 828× | expm1-log1p-u_binary64 |
| 113× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 246 | 21 |
| 2 | 2927 | 21 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) |
(*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 x -3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 x (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -2) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -3) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 x -3)) (/.f64 x (sqrt.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x -3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 x -2)) (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) -1) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -3) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 x -3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -3) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 (pow.f64 x 4)))))))) |
| 1× | egg-herbie |
| 792× | associate-/l*_binary64 |
| 538× | unswap-sqr_binary64 |
| 493× | sqr-pow_binary64 |
| 393× | associate-/r/_binary64 |
| 371× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 312 |
| 1 | 19 | 264 |
| 2 | 35 | 264 |
| 3 | 95 | 264 |
| 4 | 344 | 240 |
| 5 | 1284 | 240 |
| 6 | 2810 | 240 |
| 7 | 3809 | 240 |
| 8 | 6870 | 240 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
| Outputs |
|---|
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 (fabs.f64 x) 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 4)) |
(/.f64 1 (pow.f64 x 4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)) |
| ✓ | 0.4b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| ✓ | 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 135 to 66 computations (51.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.0ms | x | @ | 0 | (pow.f64 (exp.f64 x) x) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 270× | add-sqr-sqrt_binary64 |
| 258× | pow1_binary64 |
| 257× | *-un-lft-identity_binary64 |
| 255× | add-log-exp_binary64 |
| 253× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 69 |
| 1 | 537 | 61 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (exp.f64 x) x) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 653× | associate-/l*_binary64 |
| 442× | sqr-pow_binary64 |
| 357× | fma-def_binary64 |
| 348× | distribute-rgt-out_binary64 |
| 286× | *-commutative_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 1001 |
| 1 | 181 | 888 |
| 2 | 552 | 736 |
| 3 | 2772 | 661 |
| 4 | 4666 | 651 |
| 5 | 5348 | 651 |
| 6 | 5705 | 651 |
| 7 | 6551 | 651 |
| 8 | 7139 | 635 |
| 9 | 7973 | 635 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (pow.f64 x 2)) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(/.f64 3/4 (pow.f64 x 4)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4))) |
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/2 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (*.f64 1/2 (pow.f64 x 4))))) |
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1))) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 x x)) |
(pow.f64 (exp.f64 x) x) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 6) (fabs.f64 x))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (*.f64 (pow.f64 x 6) (fabs.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (*.f64 x (pow.f64 x 6)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 21/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 6) (fabs.f64 x))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (*.f64 (pow.f64 x 6) (fabs.f64 x))) (/.f64 21/8 (*.f64 (pow.f64 x 4) (fabs.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (*.f64 x (pow.f64 x 4))) (/.f64 15/8 (*.f64 x (pow.f64 x 6))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 21/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (fma.f64 15/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 6) (fabs.f64 x))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (*.f64 x x) (fabs.f64 x))))))) |
(fma.f64 21/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 x 4) (fabs.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (*.f64 (pow.f64 x 6) (fabs.f64 x))) (/.f64 35/16 (*.f64 (*.f64 x x) (fabs.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (*.f64 x (pow.f64 x 4))) (/.f64 15/8 (*.f64 x (pow.f64 x 6)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(fma.f64 21/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (fma.f64 15/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 6) (fabs.f64 x))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 35/16 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (*.f64 x x) (fabs.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (*.f64 (pow.f64 x 6) (fabs.f64 x))) (/.f64 21/8 (*.f64 (pow.f64 x 4) (fabs.f64 x))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (*.f64 (*.f64 x x) (fabs.f64 x))) (/.f64 35/16 (fabs.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (*.f64 x (pow.f64 x 4))) (/.f64 15/8 (*.f64 x (pow.f64 x 6)))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fabs.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (*.f64 x x) (fabs.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fabs.f64 x))))))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (*.f64 x x) (fabs.f64 x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 (/.f64 3/4 (*.f64 x x)) 1/2)))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fabs.f64 x)))) (*.f64 15/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x 6) (fabs.f64 x)))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (*.f64 x x) (fabs.f64 x)))) (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 6) (fabs.f64 x)))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (*.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (pow.f64 (exp.f64 x) x) x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 15/8 (pow.f64 x 4)))) (*.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 15/8 (pow.f64 x 7)) (pow.f64 (exp.f64 x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 3/4 (pow.f64 x 4)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fabs.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (*.f64 x x) (fabs.f64 x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fabs.f64 x))))))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (*.f64 x x) (fabs.f64 x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 (/.f64 3/4 (*.f64 x x)) 1/2)))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fabs.f64 x)))) (*.f64 15/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (pow.f64 x 6) (fabs.f64 x)))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (*.f64 x x) (fabs.f64 x)))) (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 6) (fabs.f64 x)))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 4) (fabs.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (pow.f64 x 4))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (*.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (pow.f64 (exp.f64 x) x) x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (+.f64 1/2 (/.f64 15/8 (pow.f64 x 4)))) (*.f64 (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 15/8 (pow.f64 x 7)) (pow.f64 (exp.f64 x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 3/4 (pow.f64 x 4)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(/.f64 3/4 (pow.f64 x 4)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
Compiled 26209 to 16143 computations (38.4% saved)
39 alts after pruning (38 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 327 | 38 | 365 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 328 | 39 | 367 |
| Status | Error | Program |
|---|---|---|
| 1.3b | (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1)))) | |
| 56.8b | (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) | |
| 48.3b | (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) | |
| 9.1b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 2.0b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (*.f64 x (sqrt.f64 (PI.f64)))) | |
| 1.3b | (/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4)) | |
| ▶ | 1.2b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 55.9b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) | |
| 2.7b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 x 4)))) 1) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 2.8b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (pow.f64 (/.f64 1 x) 4) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 1.5b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 56.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) | |
| 1.7b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 1.4b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 10.4b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 1/3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| ▶ | 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
| 1.5b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.8b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (log.f64 (exp.f64 (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 1.7b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) | |
| 2.9b | (*.f64 (*.f64 (/.f64 1 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) | |
| ▶ | 56.8b | (*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
| 3.0b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (E.f64) (*.f64 x x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 9.1b | (*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| ▶ | 3.1b | (exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
| 1.7b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 10.1b | (pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) 3) 1/3) | |
| ✓ | 1.3b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.3b | (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (sqrt.f64 (PI.f64))) | |
| 2.6b | (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 41.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) | |
| 2.7b | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) | |
| ▶ | 1.6b | (/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
| 4.9b | (*.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.8b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.8b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 44.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
Compiled 3525 to 2546 computations (27.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) |
| 0.4b | (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 0.4b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 149 to 82 computations (45% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1× | batch-egg-rewrite |
| 296× | add-sqr-sqrt_binary64 |
| 285× | pow1_binary64 |
| 283× | add-log-exp_binary64 |
| 282× | *-un-lft-identity_binary64 |
| 281× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 66 |
| 1 | 606 | 56 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 1 x) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 1) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)))))) |
| 1× | egg-herbie |
| 402× | fma-def_binary64 |
| 364× | associate-+l+_binary64 |
| 328× | distribute-rgt-out_binary64 |
| 322× | *-commutative_binary64 |
| 285× | associate-+r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 1059 |
| 1 | 192 | 942 |
| 2 | 607 | 736 |
| 3 | 3046 | 634 |
| 4 | 4442 | 624 |
| 5 | 5238 | 624 |
| 6 | 5721 | 624 |
| 7 | 7102 | 624 |
| 8 | 7767 | 624 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(+.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 x 4) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (+.f64 (*.f64 (/.f64 (pow.f64 x 2) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 x 6) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
| Outputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fabs.f64 x)) (pow.f64 x 6))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (pow.f64 x 6)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 21/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4)))) (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 21/8 (*.f64 (fabs.f64 x) (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (*.f64 x (pow.f64 x 4))) (/.f64 (/.f64 15/8 x) (pow.f64 x 6)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 21/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (fabs.f64 x) (*.f64 x x))))))) |
(fma.f64 21/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (fabs.f64 x) (pow.f64 x 4))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (/.f64 35/16 (*.f64 x (*.f64 x (fabs.f64 x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (*.f64 x (pow.f64 x 4))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 (/.f64 15/8 x) (pow.f64 x 6))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(fma.f64 21/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 4)))) (fma.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 35/16 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (fabs.f64 x) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (fabs.f64 x))))))) |
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(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (fabs.f64 x)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
| ✓ | 0.3b | (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
Compiled 34 to 26 computations (23.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
| 1.0ms | x | @ | 0 | (*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
| 0.0ms | x | @ | -inf | (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
| 0.0ms | x | @ | inf | (*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
| 0.0ms | x | @ | -inf | (*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
| 1× | batch-egg-rewrite |
| 488× | log-prod_binary64 |
| 378× | exp-prod_binary64 |
| 318× | prod-exp_binary64 |
| 275× | pow2_binary64 |
| 261× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 1 | 234 | 23 |
| 2 | 2761 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14))) (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (PI.f64) -1/6) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/4) (*.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (PI.f64) -1/2)) (/.f64 1 (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 1) (/.f64 (pow.f64 (PI.f64) -1/6) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/4) 1) (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (cbrt.f64 x) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (cbrt.f64 (pow.f64 x 14))) (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 (cbrt.f64 x) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7/2) (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7/2)) (/.f64 (pow.f64 (PI.f64) -1/6) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) -3/2) (pow.f64 x 21)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (pow.f64 x 7/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 -1/2 (log.f64 (PI.f64))) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 (*.f64 7 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 -7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 -7 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -7 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -7 (log.f64 x)) (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) 1) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 x 14))) (pow.f64 (cbrt.f64 x) 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7/2)) (pow.f64 x 7/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) -1/2)) 15/8) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 15/8 (neg.f64 (pow.f64 (PI.f64) -1/2))) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)) 225/64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)) 225/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x 7/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 7 (log.f64 x)) 1))))))) |
| 1× | egg-herbie |
| 874× | associate-/l/_binary64 |
| 824× | unswap-sqr_binary64 |
| 536× | sqr-pow_binary64 |
| 453× | *-commutative_binary64 |
| 437× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 420 |
| 1 | 27 | 348 |
| 2 | 55 | 348 |
| 3 | 140 | 348 |
| 4 | 479 | 348 |
| 5 | 2074 | 348 |
| 6 | 2300 | 348 |
| 7 | 2638 | 348 |
| 8 | 3953 | 348 |
| 9 | 4064 | 348 |
| 10 | 4234 | 348 |
| 11 | 5828 | 348 |
| 12 | 6180 | 348 |
| 13 | 6667 | 348 |
| 14 | 7519 | 348 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 3/4 (pow.f64 x 4)) |
| ✓ | 0.3b | (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
| ✓ | 0.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 148 to 92 computations (37.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
| 1.0ms | x | @ | 0 | (/.f64 3/4 (pow.f64 x 4)) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 396× | expm1-udef_binary64 |
| 396× | log1p-udef_binary64 |
| 241× | add-sqr-sqrt_binary64 |
| 232× | add-log-exp_binary64 |
| 230× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 65 |
| 1 | 493 | 55 |
| 2 | 7184 | 55 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(/.f64 3/4 (pow.f64 x 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 15/8 (pow.f64 x -6))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 3/4 (pow.f64 x -4))) (/.f64 (exp.f64 (*.f64 x x)) x)) (*.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (/.f64 (exp.f64 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 15/8 (pow.f64 x -6))) 1) (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 15/8 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 3/4 (pow.f64 x -4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/4 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/4 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))) (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 3/4) (*.f64 x x)) (/.f64 (sqrt.f64 3/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/4 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/4 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 3/4) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27/64 (pow.f64 x 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9/16 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 27/64 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))) 1)))))) |
| 1× | egg-herbie |
| 709× | associate-*l/_binary64 |
| 655× | associate-*l*_binary64 |
| 646× | fma-def_binary64 |
| 555× | associate-*r*_binary64 |
| 535× | associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 502 |
| 1 | 129 | 490 |
| 2 | 300 | 472 |
| 3 | 700 | 458 |
| 4 | 2249 | 452 |
| 5 | 7160 | 452 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 15/8 (pow.f64 x 7)) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 35/16 (/.f64 1 x)) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(/.f64 3/4 (pow.f64 x 4)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
(/.f64 15/8 (pow.f64 x 7)) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))) |
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 35/16 (/.f64 1 x)) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))) (/.f64 35/16 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x)))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(/.f64 (exp.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (exp.f64 x) x) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(fma.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(/.f64 (exp.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (exp.f64 x) x) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(fma.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))) |
(/.f64 3/4 (pow.f64 x 4)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
| ✓ | 0.4b | (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| ✓ | 2.6b | (exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
Compiled 137 to 83 computations (39.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | 0 | (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
| 12.0ms | x | @ | -inf | (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
| 6.0ms | x | @ | inf | (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
| 4.0ms | x | @ | 0 | (exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
| 1.0ms | x | @ | inf | (exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
| 1× | batch-egg-rewrite |
| 507× | fma-def_binary64 |
| 377× | expm1-udef_binary64 |
| 377× | log1p-udef_binary64 |
| 320× | log-pow_binary64 |
| 311× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 65 |
| 1 | 452 | 63 |
| 2 | 5527 | 61 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x 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(fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 2))) (cbrt.f64 (-.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) (sqrt.f64 (-.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6))))) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/4 (pow.f64 x -2)) (pow.f64 x -2)) (*.f64 1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (*.f64 3/4 (pow.f64 x -2))) (*.f64 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 3) (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) (*.f64 3/4 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/4 (pow.f64 x -2)) (pow.f64 x -2) (*.f64 1/2 (pow.f64 x -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64)))) (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (sqrt.f64 (PI.f64))) 3)) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 (sqrt.f64 (PI.f64)))) (*.f64 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 (sqrt.f64 (PI.f64))))) (log.f64 (/.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 x (sqrt.f64 (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (log.f64 (PI.f64)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) 1 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 x)))))) |
| 1× | egg-herbie |
| 746× | fma-def_binary64 |
| 510× | times-frac_binary64 |
| 368× | associate-*l/_binary64 |
| 301× | associate-/l*_binary64 |
| 295× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 887 |
| 1 | 166 | 831 |
| 2 | 391 | 729 |
| 3 | 1511 | 690 |
| 4 | 6795 | 675 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) |
(+.f64 (*.f64 7/5 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) |
(+.f64 (*.f64 7/5 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 7/6 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))))) |
(+.f64 (*.f64 7/5 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 7/6 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 7/6 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4)))))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(/.f64 3/4 (pow.f64 x 4)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64))))) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) |
(exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (pow.f64 x -6) x) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(*.f64 15/8 (/.f64 (/.f64 (pow.f64 x -6) x) (sqrt.f64 (PI.f64)))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 7/5 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) |
(fma.f64 7/5 (*.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (*.f64 x x)) (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(fma.f64 7/5 (*.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 x x)) (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x 7/5)) 1) (*.f64 (/.f64 (pow.f64 x -6) x) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x 7/5) 1) (pow.f64 x -6)) (/.f64 x (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x 7/5) 1) (/.f64 15/8 (pow.f64 x 7))) (sqrt.f64 (PI.f64))) |
(+.f64 (*.f64 7/5 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 7/6 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))))) |
(+.f64 (fma.f64 7/5 (*.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (*.f64 x x)) (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) (*.f64 7/6 (*.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4)))) |
(fma.f64 7/5 (*.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 x x)) (fma.f64 7/6 (*.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 4)) (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64)))))) |
(fma.f64 (pow.f64 x -6) (/.f64 15/8 (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (/.f64 (pow.f64 x -6) x) (/.f64 15/8 (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (*.f64 7/6 (pow.f64 x 4))))) |
(*.f64 (*.f64 15/8 (/.f64 (/.f64 (pow.f64 x -6) x) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) |
(*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) |
(+.f64 (*.f64 7/5 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 7/6 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 7/6 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -6 (log.f64 x)) (log.f64 15/8)) (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4)))))) |
(fma.f64 7/5 (*.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (*.f64 x x)) (fma.f64 7/6 (*.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 6)) (+.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (*.f64 7/6 (*.f64 (exp.f64 (-.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4)))))) |
(fma.f64 7/5 (*.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 x x)) (fma.f64 7/6 (*.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 6)) (fma.f64 7/6 (*.f64 (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 4)) (/.f64 (exp.f64 (fma.f64 -6 (log.f64 x) (log.f64 15/8))) (*.f64 x (sqrt.f64 (PI.f64))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 7/5)) 1) (*.f64 (/.f64 (pow.f64 x -6) x) (/.f64 15/8 (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (*.f64 35/16 (pow.f64 x -6)) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) |
(fma.f64 (*.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 x -6) x)) (+.f64 (pow.f64 x 4) (pow.f64 x 6)) (/.f64 (*.f64 (fma.f64 x (*.f64 x 7/5) 1) (pow.f64 x -6)) (/.f64 x (/.f64 15/8 (sqrt.f64 (PI.f64)))))) |
(fma.f64 (*.f64 (/.f64 35/16 (sqrt.f64 (PI.f64))) (pow.f64 x -7)) (+.f64 (pow.f64 x 4) (pow.f64 x 6)) (/.f64 (*.f64 (fma.f64 x (*.f64 x 7/5) 1) (/.f64 15/8 (pow.f64 x 7))) (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x 2)))) (pow.f64 x 2)) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 3/4 (pow.f64 x 4)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x -2)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(*.f64 1/2 (pow.f64 x -2)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (pow.f64 x -2) (/.f64 3/4 (pow.f64 x 4))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64))))) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64))))) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64))))) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64))))) |
(log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) |
| ✓ | 1.0b | (cbrt.f64 (PI.f64)) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 164 to 105 computations (36% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) |
| 1× | batch-egg-rewrite |
| 687× | prod-diff_binary64 |
| 378× | log1p-udef_binary64 |
| 223× | add-sqr-sqrt_binary64 |
| 212× | add-log-exp_binary64 |
| 211× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 45 |
| 1 | 457 | 44 |
| 2 | 5845 | 44 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (PI.f64)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1)))))) |
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| 1× | egg-herbie |
| 700× | associate-*r/_binary64 |
| 608× | unswap-sqr_binary64 |
| 564× | associate-/r*_binary64 |
| 399× | distribute-rgt-out_binary64 |
| 313× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 619 |
| 1 | 148 | 589 |
| 2 | 471 | 511 |
| 3 | 2010 | 453 |
| 4 | 5560 | 443 |
| 5 | 6139 | 443 |
| 6 | 7431 | 443 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 7)))) (*.f64 21/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (*.f64 35/16 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 7)))) (*.f64 21/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 5)))))) |
(+.f64 (*.f64 35/16 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 21/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 5)))) (*.f64 35/16 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 x)))))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))))))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))))))) |
| Outputs |
|---|
(*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 7)))) |
(*.f64 15/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 (*.f64 15/8 (cbrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(*.f64 15/8 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(+.f64 (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 7)))) (*.f64 21/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 5))))) |
(fma.f64 15/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) (*.f64 21/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))))) |
(fma.f64 21/8 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (/.f64 (*.f64 15/8 (cbrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(+.f64 (*.f64 35/16 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 7)))) (*.f64 21/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 5)))))) |
(fma.f64 35/16 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 15/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) (*.f64 21/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5)))))) |
(fma.f64 35/16 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 21/8 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (/.f64 (*.f64 15/8 (cbrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)))) |
(fma.f64 15/8 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 21/8 (pow.f64 x 5))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(+.f64 (*.f64 35/16 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 21/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 (pow.f64 x 5)))) (*.f64 35/16 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 1 x)))))) |
(fma.f64 35/16 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 15/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) (fma.f64 21/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)))))) |
(fma.f64 35/16 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (fma.f64 15/8 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) (fma.f64 21/8 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (*.f64 35/16 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x))))) |
(+.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) 1/2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 (/.f64 1/2 x) x) 1)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) 1/2)))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))) (*.f64 15/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7))))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (fma.f64 15/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) 1/2))))) |
(+.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)) (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))) (+.f64 (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) 1/2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 (/.f64 1/2 x) x) 1)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) 1/2)))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (*.f64 15/8 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))) (*.f64 15/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7))))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (fma.f64 15/8 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) 1/2))))) |
(+.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3))))) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)) (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)))) (+.f64 (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5))))) |
Compiled 23083 to 14868 computations (35.6% saved)
84 alts after pruning (82 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 622 | 70 | 692 |
| Fresh | 21 | 12 | 33 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 1 | 5 |
| Total | 647 | 84 | 731 |
| Status | Error | Program |
|---|---|---|
| 1.9b | (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| ▶ | 56.8b | (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
| 2.7b | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) | |
| ▶ | 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2)))) |
| 44.7b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) | |
| 44.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) | |
| 48.3b | (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) | |
| 10.2b | (*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3) 1/3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.4b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 3)))) | |
| 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (-.f64 (exp.f64 (log1p.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) 1)))) | |
| 2.9b | (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 3) | |
| 2.8b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 48.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) | |
| 1.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 3.2b | (/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 (cbrt.f64 (PI.f64)) x))) 3) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 1.8b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 48.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) | |
| 1.3b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 4.8b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 3.1b | (exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) | |
| 1.6b | (*.f64 (*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) | |
| 2.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (*.f64 3375/512 (pow.f64 (pow.f64 x -6) 3)) (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3))) (+.f64 (/.f64 225/64 (pow.f64 x 12)) (*.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (-.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (*.f64 15/8 (pow.f64 x -6))))))) | |
| 2.8b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 43.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) | |
| 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) | |
| 1.2b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) | |
| ▶ | 2.9b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 2.0b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 (/.f64 27/64 (pow.f64 x 12)) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3)) (+.f64 (/.f64 9/16 (pow.f64 x 8)) (*.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (-.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (*.f64 3/4 (pow.f64 x -4))))))))) | |
| 55.9b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) | |
| 2.9b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64)))))) | |
| 2.8b | (*.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 47.4b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) | |
| 9.0b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 2.9b | (/.f64 (/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 2.8b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (pow.f64 (/.f64 1 x) 4) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| ▶ | 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
| 2.7b | (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) | |
| 1.8b | (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 1.7b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) | |
| 3.0b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) | |
| 56.8b | (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) | |
| ▶ | 9.1b | (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.3b | (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (sqrt.f64 (PI.f64))) | |
| 55.6b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 9.1b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.8b | (/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) | |
| 1.4b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.7b | (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/4))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| ✓ | 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
| 1.5b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.3b | (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) | |
| 2.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 3.0b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (E.f64) (*.f64 x x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3))))) | |
| 3.0b | (/.f64 (*.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 (cbrt.f64 (PI.f64)) x)) 1) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 1.7b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 4.8b | (*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 55.9b | (*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) | |
| 1.9b | (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 2.6b | (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) | |
| 41.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) | |
| 4.8b | (*.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x -2))) (*.f64 (*.f64 (pow.f64 x 4) 4/3) (-.f64 1 (/.f64 1/4 (pow.f64 x 4))))) (*.f64 (*.f64 (pow.f64 x 4) 4/3) (+.f64 1 (*.f64 -1/2 (pow.f64 x -2)))))))) | |
| 56.8b | (+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) | |
| ✓ | 1.6b | (/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
| 1.3b | (*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.7b | (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 41.3b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) | |
| 1.4b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 3.0b | (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
Compiled 5628 to 4226 computations (24.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 15/8 (pow.f64 x 6)) |
| 0.3b | (/.f64 3/4 (pow.f64 x 4)) | |
| ✓ | 0.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))) |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 152 to 95 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 15/8 (pow.f64 x 6)) |
| 0.0ms | x | @ | inf | (/.f64 15/8 (pow.f64 x 6)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))) |
| 1× | batch-egg-rewrite |
| 402× | log1p-udef_binary64 |
| 244× | add-sqr-sqrt_binary64 |
| 235× | add-log-exp_binary64 |
| 233× | log1p-expm1-u_binary64 |
| 233× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 46 |
| 1 | 498 | 42 |
| 2 | 7341 | 42 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))) |
(/.f64 15/8 (pow.f64 x 6)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 873× | associate-/l*_binary64 |
| 603× | fma-def_binary64 |
| 487× | associate-*l/_binary64 |
| 369× | associate-*l*_binary64 |
| 326× | associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 343 |
| 1 | 105 | 331 |
| 2 | 255 | 313 |
| 3 | 623 | 299 |
| 4 | 1868 | 293 |
| 5 | 6277 | 293 |
| 6 | 7063 | 293 |
| 7 | 8000 | 293 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 15/8 (pow.f64 x 7)) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 35/16 (/.f64 1 x)) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
| Outputs |
|---|
(/.f64 15/8 (pow.f64 x 7)) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))) |
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 35/16 (/.f64 1 x)) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 35/16 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))) (/.f64 35/16 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(/.f64 (exp.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (exp.f64 x) x) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(/.f64 (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (pow.f64 (exp.f64 x) x)) x) |
(/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(fma.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(/.f64 (exp.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (exp.f64 x) x) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(/.f64 (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (pow.f64 (exp.f64 x) x)) x) |
(/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(fma.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
| ✓ | 0.3b | (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) |
| 1.0b | (sqrt.f64 (PI.f64)) |
Compiled 24 to 15 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) |
| 0.0ms | x | @ | inf | (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
| 0.0ms | x | @ | -inf | (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
| 0.0ms | x | @ | 0 | (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
| 0.0ms | x | @ | 0 | (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) |
| 1× | batch-egg-rewrite |
| 909× | pow1_binary64 |
| 855× | add-log-exp_binary64 |
| 855× | log1p-expm1-u_binary64 |
| 855× | expm1-log1p-u_binary64 |
| 836× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 194 | 23 |
| 2 | 2326 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 x -14) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -14) (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -14)) (*.f64 (cbrt.f64 (pow.f64 x -7)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -7/2) (pow.f64 (PI.f64) 1/4)) (/.f64 (pow.f64 x -7/2) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -7)) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7/2) (*.f64 (pow.f64 x -7/2) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -14)) 1) (/.f64 (cbrt.f64 (pow.f64 x -7)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -7/2) 1) (/.f64 (pow.f64 x -7/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 x -7) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -14)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -7/2) (cbrt.f64 (PI.f64))) (/.f64 (pow.f64 x -7/2) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 (pow.f64 x -7) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -14)) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (pow.f64 x -7)) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -7/2) (pow.f64 (PI.f64) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x -7) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -14) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 x -7) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x -7) 15/8)) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x -7) 15/8) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x -7) 15/8) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x -7) 15/8) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 x -7)) 15/8) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 15/8 (neg.f64 (pow.f64 x -7))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 225/64 (/.f64 (pow.f64 x -14) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))))))))) |
| 1× | egg-herbie |
| 874× | associate-/l/_binary64 |
| 824× | unswap-sqr_binary64 |
| 536× | sqr-pow_binary64 |
| 453× | *-commutative_binary64 |
| 437× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 420 |
| 1 | 27 | 348 |
| 2 | 55 | 348 |
| 3 | 140 | 348 |
| 4 | 479 | 348 |
| 5 | 2074 | 348 |
| 6 | 2300 | 348 |
| 7 | 2638 | 348 |
| 8 | 3953 | 348 |
| 9 | 4064 | 348 |
| 10 | 4234 | 348 |
| 11 | 5828 | 348 |
| 12 | 6180 | 348 |
| 13 | 6667 | 348 |
| 14 | 7519 | 348 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 7))) |
(/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(/.f64 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 0.4b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| ✓ | 2.5b | (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
Compiled 138 to 65 computations (52.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.0ms | x | @ | 0 | (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
| 1.0ms | x | @ | inf | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.0ms | x | @ | -inf | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 0.0ms | x | @ | -inf | (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
| 1× | batch-egg-rewrite |
| 426× | log1p-udef_binary64 |
| 256× | add-sqr-sqrt_binary64 |
| 244× | pow1_binary64 |
| 243× | *-un-lft-identity_binary64 |
| 242× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 60 |
| 1 | 509 | 56 |
| 2 | 7470 | 56 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| Outputs |
|---|
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(exp.f64 x) x) x) (sqrt.f64 (PI.f64))) 1 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) 2)) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) |
| 1× | egg-herbie |
| 589× | associate-*l/_binary64 |
| 447× | associate-+r+_binary64 |
| 444× | associate-+l+_binary64 |
| 425× | associate-/l/_binary64 |
| 411× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 1187 |
| 1 | 230 | 938 |
| 2 | 736 | 779 |
| 3 | 3363 | 673 |
| 4 | 7019 | 670 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (+.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6)))))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (*.f64 15/16 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6)))))))) |
(+.f64 (*.f64 3/8 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (*.f64 5/16 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 15/16 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4)))))))))))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))))) |
| Outputs |
|---|
(exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x))) |
(*.f64 (+.f64 (*.f64 x x) 1) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (fma.f64 x x 1)) |
(/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2)))) |
(fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)))) |
(fma.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4) (*.f64 (+.f64 (*.f64 x x) 1) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))) |
(/.f64 (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (+.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6)))))) |
(fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (fma.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x) (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)))))) |
(+.f64 (fma.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4) (*.f64 (+.f64 (*.f64 x x) 1) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 (pow.f64 x 6) (/.f64 1/6 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 x 4) x) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 (fma.f64 x x 1) (*.f64 1/6 (pow.f64 x 6))))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 (fma.f64 x x 1) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 4))))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))) |
(*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))) |
(/.f64 (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) |
(/.f64 15/8 (*.f64 (*.f64 (pow.f64 x 6) (sqrt.f64 (PI.f64))) x)) |
(/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (*.f64 15/8 (+.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))))) |
(+.f64 (/.f64 (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (*.f64 (/.f64 (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) 21/8)) |
(+.f64 (/.f64 15/8 (*.f64 (*.f64 (pow.f64 x 6) (sqrt.f64 (PI.f64))) x)) (/.f64 21/8 (*.f64 (pow.f64 x 4) (*.f64 x (sqrt.f64 (PI.f64)))))) |
(+.f64 (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) (/.f64 21/8 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (*.f64 15/16 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6)))))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (fma.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (fma.f64 15/16 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)))))))) |
(+.f64 (/.f64 (/.f64 3/4 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (/.f64 (/.f64 15/16 (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)))) (*.f64 (/.f64 (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)) 5/4))) |
(+.f64 (+.f64 (+.f64 (/.f64 15/8 (*.f64 (*.f64 (pow.f64 x 6) (sqrt.f64 (PI.f64))) x)) (/.f64 15/16 (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))) (/.f64 5/4 (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))) (/.f64 21/8 (*.f64 (pow.f64 x 4) (*.f64 x (sqrt.f64 (PI.f64)))))) |
(+.f64 (+.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 x 3)) 35/16) (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) (/.f64 21/8 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5)))) |
(+.f64 (*.f64 3/8 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4))) (+.f64 (*.f64 5/16 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 15/16 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 2))) (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x)))) (pow.f64 x 4)))))))))))) |
(fma.f64 3/8 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)) (fma.f64 5/16 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (fma.f64 3/4 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (fma.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)) (fma.f64 15/16 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (fma.f64 1/2 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (*.f64 15/8 (/.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))))))))))) |
(+.f64 (/.f64 (/.f64 3/4 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 3/4 (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)) (/.f64 5/16 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 (/.f64 (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (/.f64 (/.f64 15/16 (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)))) (+.f64 (+.f64 (/.f64 (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (/.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x))) (*.f64 3/2 (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x))))) (/.f64 3/8 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(+.f64 (/.f64 (/.f64 (/.f64 3/4 x) (sqrt.f64 (PI.f64))) (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 3/8 x) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 5/16 (sqrt.f64 (PI.f64))) x) (+.f64 (+.f64 (+.f64 (/.f64 15/8 (*.f64 (*.f64 (pow.f64 x 6) (sqrt.f64 (PI.f64))) x)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 15/8 x) x) 15/16))) (/.f64 5/4 (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64))))) (/.f64 3/2 (*.f64 x (sqrt.f64 (PI.f64)))))))) |
(+.f64 (/.f64 3/4 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 5))) (+.f64 (+.f64 (+.f64 (/.f64 15/8 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 x 3)) (+.f64 5/4 (+.f64 (/.f64 (/.f64 15/8 x) x) 15/16)))) (/.f64 3/2 (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) 11/16))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) |
(fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) |
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))) |
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)) (fma.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (fma.f64 15/8 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (fma.f64 15/8 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (*.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4))))) |
(+.f64 (fma.f64 15/8 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 6)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2))) |
(+.f64 (*.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) |
(fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) |
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))) |
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)) (fma.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (*.f64 x x)) (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))) (fma.f64 15/8 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 6)) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (fma.f64 15/8 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 6)) (*.f64 3/4 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (pow.f64 x 4))))) |
(+.f64 (fma.f64 15/8 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x 6)) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2))) |
(+.f64 (*.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 x 3) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 (/.f64 3/4 x) x) 1/2))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (pow.f64 (sqrt.f64 (PI.f64)) 3) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (pow.f64 (exp.f64 x) x) | |
| ✓ | 8.0b | (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) |
Compiled 166 to 86 computations (48.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) |
| 1× | batch-egg-rewrite |
| 625× | log-prod_binary64 |
| 392× | pow-prod-down_binary64 |
| 320× | pow-unpow_binary64 |
| 311× | pow-pow_binary64 |
| 302× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 268 | 20 |
| 2 | 3337 | 20 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) |
(pow.f64 (sqrt.f64 (PI.f64)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 1) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 x) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 1 x) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/4) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (PI.f64) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (PI.f64) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) 1/6) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3/4) (pow.f64 (PI.f64) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1)))))) |
| 1× | egg-herbie |
| 604× | fma-def_binary64 |
| 401× | associate-*l*_binary64 |
| 382× | associate-/r*_binary64 |
| 381× | unswap-sqr_binary64 |
| 322× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 295 |
| 1 | 90 | 272 |
| 2 | 233 | 251 |
| 3 | 811 | 251 |
| 4 | 3118 | 251 |
| 5 | 5165 | 251 |
| 6 | 7125 | 251 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))) |
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (*.f64 1/2 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 x) (fma.f64 1/2 (pow.f64 x 3) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (fma.f64 1/2 (pow.f64 x 3) (/.f64 1 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 5) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)))) |
(fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 5)) (fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (*.f64 1/2 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/6 (pow.f64 x 5)) (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 5) (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 x) (fma.f64 1/6 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 x 3) x)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (cbrt.f64 -1) (/.f64 x (exp.f64 (*.f64 x x)))))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 -1) x) (exp.f64 (*.f64 x x))) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (cbrt.f64 -1))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (cbrt.f64 -1) (/.f64 x (exp.f64 (*.f64 x x)))))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 -1) x) (exp.f64 (*.f64 x x))) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (cbrt.f64 -1))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (cbrt.f64 -1) (/.f64 x (exp.f64 (*.f64 x x)))))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 -1) x) (exp.f64 (*.f64 x x))) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (cbrt.f64 -1))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (cbrt.f64 -1) (/.f64 x (exp.f64 (*.f64 x x)))))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 -1) x) (exp.f64 (*.f64 x x))) (neg.f64 (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (cbrt.f64 -1))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (cbrt.f64 -1)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) |
| ✓ | 0.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2))) |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 166 to 121 computations (27.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2))) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) |
| 0.0ms | x | @ | 0 | (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) |
| 1× | batch-egg-rewrite |
| 387× | fma-def_binary64 |
| 373× | log1p-udef_binary64 |
| 372× | expm1-udef_binary64 |
| 319× | log-pow_binary64 |
| 231× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 65 |
| 1 | 508 | 63 |
| 2 | 5964 | 63 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2))) |
(fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (pow.f64 x -2) 1) (*.f64 3/4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/4 (pow.f64 x -4)) (fma.f64 1/2 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/4 (pow.f64 x -4)) 1) (fma.f64 1/2 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 15/8 (pow.f64 x -6))) (*.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 15/8 (pow.f64 x -6))) 1) (*.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) (/.f64 (pow.f64 (exp.f64 x) x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 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(2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 1/4)) (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) (cbrt.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -4)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 3)) (fma.f64 (*.f64 3/4 (pow.f64 x -4)) (*.f64 3/4 (pow.f64 x -4)) (-.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2) (*.f64 (*.f64 3/4 (pow.f64 x -4)) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3/4 (pow.f64 x -4)) (*.f64 3/4 (pow.f64 x -4))) (pow.f64 (fma.f64 1/2 (pow.f64 x -2) 1) 2)) (-.f64 (*.f64 3/4 (pow.f64 x -4)) (fma.f64 1/2 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/2 (pow.f64 x -2) 1)) (exp.f64 (*.f64 3/4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (pow.f64 x -2) 1))) (exp.f64 (*.f64 3/4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 3/4 (pow.f64 x -4))) (+.f64 1 (expm1.f64 (fma.f64 1/2 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 1)))))) |
| 1× | egg-herbie |
| 998× | fma-def_binary64 |
| 497× | +-commutative_binary64 |
| 444× | associate-/r*_binary64 |
| 437× | unswap-sqr_binary64 |
| 355× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1087 |
| 1 | 227 | 868 |
| 2 | 697 | 682 |
| 3 | 2634 | 668 |
| 4 | 7035 | 668 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 3/4) 2))) (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4))))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) (pow.f64 (sqrt.f64 3/4) 2))) (*.f64 -1/4 (/.f64 (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 x 2)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 3/4) 2))) (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)))))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 15/8 (pow.f64 x 7)) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 5)) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (*.f64 23/16 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 3)) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) x)) (+.f64 (*.f64 23/16 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 29/16 (/.f64 1 x)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 3)) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(/.f64 3/4 (pow.f64 x 4)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
(/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) |
(/.f64 3/4 (pow.f64 x 4)) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4))) |
(+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 3/4) 2))) (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4))))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) (pow.f64 (sqrt.f64 3/4) 2))) (*.f64 -1/4 (/.f64 (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 x 2)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 3/4) 2))) (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)))))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(/.f64 15/8 (pow.f64 x 7)) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 5)) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (/.f64 15/8 (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(+.f64 (/.f64 15/8 (pow.f64 x 5)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(+.f64 (*.f64 23/16 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 3)) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))))) |
(+.f64 (/.f64 23/16 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 5)) (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 3))) (+.f64 (/.f64 15/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (/.f64 23/16 (pow.f64 x 3)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 15/8 (pow.f64 x 5)) (/.f64 3/4 (pow.f64 x 3)))))) |
(+.f64 (/.f64 15/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 3))) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 23/16 (pow.f64 x 3))))) |
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 23/16 (pow.f64 x 3)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 5)) (/.f64 3/4 (pow.f64 x 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) x)) (+.f64 (*.f64 23/16 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 29/16 (/.f64 1 x)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 3)) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) x) (+.f64 (/.f64 23/16 (pow.f64 x 3)) (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 5)) (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 3))) (+.f64 (/.f64 15/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (/.f64 29/16 x)))) |
(+.f64 (/.f64 3/8 x) (+.f64 (/.f64 23/16 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 15/8 (pow.f64 x 5)) (/.f64 3/4 (pow.f64 x 3)))) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 29/16 x))))) |
(+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 15/8 (pow.f64 x 5)) (/.f64 3/4 (pow.f64 x 3)))) (+.f64 (+.f64 (/.f64 3/8 x) (+.f64 (/.f64 23/16 (pow.f64 x 3)) (/.f64 29/16 x))) (/.f64 3/4 (pow.f64 x 5)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 3/8 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (+.f64 (/.f64 23/16 (pow.f64 x 3)) (/.f64 29/16 x)) (+.f64 (/.f64 15/8 (pow.f64 x 5)) (/.f64 3/4 (pow.f64 x 3))))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(/.f64 (exp.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (exp.f64 x) x) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(/.f64 (exp.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (exp.f64 x) x) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(/.f64 3/4 (pow.f64 x 4)) |
(/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
1 |
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 1/2 (*.f64 x x))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 3/4) 2) (pow.f64 x 4)) (/.f64 1/16 (pow.f64 (sqrt.f64 3/4) 2)))) (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2)) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) 1/12)) (-.f64 1 (pow.f64 (/.f64 1/4 (sqrt.f64 3/4)) 2))) |
(+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
Compiled 23679 to 14661 computations (38.1% saved)
115 alts after pruning (110 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 625 | 55 | 680 |
| Fresh | 22 | 55 | 77 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 4 | 6 |
| Total | 649 | 115 | 764 |
| Status | Error | Program |
|---|---|---|
| 1.9b | (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) | |
| 3.1b | (*.f64 (exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| ✓ | 56.8b | (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
| 2.7b | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) | |
| 2.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (*.f64 3375/512 (pow.f64 (pow.f64 x -6) 3)) (pow.f64 (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))) 3))) (+.f64 (/.f64 225/64 (pow.f64 x 12)) (*.f64 (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))) (-.f64 (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2)))) (*.f64 15/8 (pow.f64 x -6))))))) | |
| 44.7b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) | |
| 48.3b | (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) | |
| 56.8b | (/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) | |
| ✓ | 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2)))) |
| 44.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) | |
| 1.4b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 3)))) | |
| 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (-.f64 (exp.f64 (log1p.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) 1)))) | |
| 56.8b | (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) | |
| 2.9b | (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 3) | |
| 2.8b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 1.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))) 3)) | |
| 2.8b | (*.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| ▶ | 56.8b | (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
| 3.0b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1)))))) | |
| 1.4b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64)))) (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 48.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) | |
| 56.8b | (*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) | |
| 1.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 1.8b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2)))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 3.2b | (/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 (cbrt.f64 (PI.f64)) x))) 3) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 1.8b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 9.8b | (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.8b | (-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) | |
| 56.3b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 48.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) | |
| 2.7b | (*.f64 (expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.8b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 3.1b | (exp.f64 (+.f64 (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) | |
| 1.6b | (*.f64 (*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) | |
| 43.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) | |
| 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) | |
| ✓ | 2.9b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (cbrt.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)) 3))))) | |
| 9.1b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.0b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) | |
| 44.7b | (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) | |
| 47.4b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) | |
| 55.9b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) | |
| 9.1b | (*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 9.0b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 2.9b | (/.f64 (/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 2.7b | (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) | |
| 1.8b | (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| ▶ | 1.7b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) |
| 2.8b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 44.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)) | |
| ✓ | 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
| 55.6b | (*.f64 (/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.8b | (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) | |
| 1.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) (*.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 15/8 (pow.f64 x -6))))) | |
| 55.6b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1)) (/.f64 x (exp.f64 (*.f64 x x))))) | |
| 9.0b | (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 9.1b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 43.6b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) | |
| 9.5b | (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.3b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.8b | (/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) | |
| 1.4b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.7b | (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) 1/4))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| ✓ | 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
| 1.5b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| ▶ | 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
| ▶ | 1.4b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 2.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1)))) 2)) | |
| 1.3b | (*.f64 (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 3.0b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (E.f64) (*.f64 x x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 3.0b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 3.0b | (/.f64 (*.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 (cbrt.f64 (PI.f64)) x)) 1) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 1.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 3)) 2)))) | |
| 1.3b | (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) x) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 4.8b | (*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) | |
| ▶ | 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
| 1.7b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 55.9b | (*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) | |
| 1.9b | (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 2.6b | (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 4.8b | (*.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 10.3b | (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 41.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) | |
| 8.6b | (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) -3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 9.4b | (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.8b | (+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.7b | (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.4b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) (cbrt.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) | |
| 1.7b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) | |
| 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))) | |
| 41.3b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) | |
| 2.9b | (*.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (neg.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
Compiled 7203 to 5386 computations (25.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))) |
| ✓ | 0.6b | (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) |
| 1.1b | (pow.f64 (exp.f64 x) x) | |
| ✓ | 9.7b | (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) |
Compiled 187 to 127 computations (32.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 74.0ms | x | @ | inf | (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) |
| 38.0ms | x | @ | inf | (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) |
| 16.0ms | x | @ | 0 | (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))) |
| 1.0ms | x | @ | -inf | (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) |
| 1× | batch-egg-rewrite |
| 444× | log1p-udef_binary64 |
| 264× | add-sqr-sqrt_binary64 |
| 254× | add-log-exp_binary64 |
| 252× | pow1_binary64 |
| 252× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 55 |
| 1 | 558 | 51 |
| 2 | 7734 | 51 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) |
(expm1.f64 (*.f64 15/8 (pow.f64 x -6))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 15/8 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 15/8 (pow.f64 x -6) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 2) (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 15/8 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -6) 15/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 15/8 (pow.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -12)) (*.f64 (cbrt.f64 (pow.f64 x -6)) 15/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 15/8 (pow.f64 x -6))) (cbrt.f64 (*.f64 (pow.f64 x -12) 225/64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -12) 225/64)) (cbrt.f64 (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) (*.f64 (pow.f64 x -3) 15/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -3) (sqrt.f64 15/8)) (*.f64 (pow.f64 x -3) (sqrt.f64 15/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 15/8 (cbrt.f64 (pow.f64 x -12))) (cbrt.f64 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 15/8 (pow.f64 x -3)) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15/8 (pow.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 15/8 (pow.f64 x -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -3) (sqrt.f64 15/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -12) 225/64))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -6) 3) 3375/512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 15/8 (pow.f64 x -6))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))) 2) (cbrt.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))) (sqrt.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8)) 1) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 2) (+.f64 1 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 2) 1) (+.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 15/8 (pow.f64 x -6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 2)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8)) (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 15/8 (pow.f64 x -6)) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) (*.f64 (*.f64 15/8 (pow.f64 x -6)) (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 15/8 (pow.f64 x -6)) (/.f64 (pow.f64 (exp.f64 x) x) x)) 1) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 15/8 (pow.f64 x -6) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 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| 1× | egg-herbie |
| 775× | associate-/r*_binary64 |
| 443× | associate-*l*_binary64 |
| 434× | fma-def_binary64 |
| 352× | associate-*r*_binary64 |
| 334× | associate-/r/_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 568 |
| 1 | 168 | 556 |
| 2 | 419 | 538 |
| 3 | 1265 | 524 |
| 4 | 6122 | 522 |
| 5 | 7291 | 516 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
0 |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
0 |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1) |
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1) |
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1) |
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1) |
0 |
(/.f64 15/8 (pow.f64 x 6)) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12)))) |
(+.f64 (*.f64 1125/1024 (/.f64 1 (pow.f64 x 18))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12))))) |
0 |
(/.f64 15/8 (pow.f64 x 6)) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12)))) |
(+.f64 (*.f64 1125/1024 (/.f64 1 (pow.f64 x 18))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12))))) |
(/.f64 3/4 (pow.f64 x 5)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 5))) (*.f64 5/4 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 15/8 (/.f64 1 x))))) |
(+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 (+.f64 11/8 (*.f64 15/8 (/.f64 1 (pow.f64 x 6)))) x) (*.f64 15/8 (/.f64 1 x)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
| Outputs |
|---|
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
0 |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
0 |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(/.f64 15/8 (pow.f64 x 6)) |
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1) |
(expm1.f64 (/.f64 15/8 (pow.f64 x 6))) |
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1) |
(expm1.f64 (/.f64 15/8 (pow.f64 x 6))) |
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1) |
(expm1.f64 (/.f64 15/8 (pow.f64 x 6))) |
(-.f64 (exp.f64 (/.f64 15/8 (pow.f64 x 6))) 1) |
(expm1.f64 (/.f64 15/8 (pow.f64 x 6))) |
0 |
(/.f64 15/8 (pow.f64 x 6)) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12)))) |
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 225/128 (pow.f64 x 12))) |
(+.f64 (*.f64 1125/1024 (/.f64 1 (pow.f64 x 18))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12))))) |
(+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 225/128 (pow.f64 x 12))) (/.f64 1125/1024 (pow.f64 x 18))) |
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 225/128 (pow.f64 x 12)) (/.f64 1125/1024 (pow.f64 x 18)))) |
(+.f64 (/.f64 225/128 (pow.f64 x 12)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1125/1024 (pow.f64 x 18)))) |
0 |
(/.f64 15/8 (pow.f64 x 6)) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12)))) |
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 225/128 (pow.f64 x 12))) |
(+.f64 (*.f64 1125/1024 (/.f64 1 (pow.f64 x 18))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 225/128 (/.f64 1 (pow.f64 x 12))))) |
(+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 225/128 (pow.f64 x 12))) (/.f64 1125/1024 (pow.f64 x 18))) |
(+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 225/128 (pow.f64 x 12)) (/.f64 1125/1024 (pow.f64 x 18)))) |
(+.f64 (/.f64 225/128 (pow.f64 x 12)) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1125/1024 (pow.f64 x 18)))) |
(/.f64 3/4 (pow.f64 x 5)) |
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 5))) (*.f64 5/4 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 5/4 (pow.f64 x 3))) |
(+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (*.f64 15/8 (/.f64 1 x))))) |
(+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 15/8 x)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 15/8 x)))) |
(+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 x)))) |
(+.f64 (/.f64 15/8 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 5/4 (pow.f64 x 3))))) |
(+.f64 (*.f64 5/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 (+.f64 11/8 (*.f64 15/8 (/.f64 1 (pow.f64 x 6)))) x) (*.f64 15/8 (/.f64 1 x)))))) |
(+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (fma.f64 (+.f64 (/.f64 15/8 (pow.f64 x 6)) 11/8) x (/.f64 15/8 x))))) |
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (fma.f64 x (+.f64 (/.f64 15/8 (pow.f64 x 6)) 11/8) (/.f64 15/8 x))))) |
(+.f64 (/.f64 5/4 (pow.f64 x 3)) (+.f64 (fma.f64 x (+.f64 (/.f64 15/8 (pow.f64 x 6)) 11/8) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 x)))) |
(+.f64 (/.f64 3/4 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 15/8 x)) (fma.f64 x (+.f64 (/.f64 15/8 (pow.f64 x 6)) 11/8) (/.f64 5/4 (pow.f64 x 3))))) |
(+.f64 (+.f64 (fma.f64 x 11/8 (/.f64 15/8 x)) (*.f64 (/.f64 x (pow.f64 x 6)) 21/8)) (+.f64 (/.f64 5/4 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7)))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(/.f64 (exp.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (exp.f64 x) x) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) x)) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3)))))) |
(/.f64 (exp.f64 (pow.f64 x 2)) x) |
(/.f64 (exp.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (exp.f64 x) x) x) |
(+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) |
(+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))) |
(+.f64 (*.f64 15/8 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5))) (+.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (*.f64 1/2 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(fma.f64 (+.f64 1 (/.f64 (/.f64 1/2 x) x)) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3)))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
| ✓ | 0.3b | (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) |
| 1.0b | (sqrt.f64 (PI.f64)) |
Compiled 24 to 15 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) |
| 1.0ms | x | @ | -inf | (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) |
| 1.0ms | x | @ | inf | (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) |
| 1.0ms | x | @ | -inf | (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
| 1.0ms | x | @ | 0 | (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
| 1× | batch-egg-rewrite |
| 955× | pow1_binary64 |
| 901× | add-log-exp_binary64 |
| 901× | log1p-expm1-u_binary64 |
| 901× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 201 | 23 |
| 2 | 2487 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x -14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 x -14))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x -7/2)) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x -7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (PI.f64)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) 1/4) 1) (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -14))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 x -14))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 x -14))) (/.f64 (pow.f64 (PI.f64) 1/4) (cbrt.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -7/2)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 x -7/2)) (/.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 x -7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 x -7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (PI.f64) (pow.f64 x -14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (pow.f64 x -7) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) (cbrt.f64 (/.f64 225/64 (/.f64 (PI.f64) (pow.f64 x -14)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 225/64 (/.f64 (PI.f64) (pow.f64 x -14)))) (cbrt.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7/2)) (*.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -15/8 (/.f64 1 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))) 15/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) 1) (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 x -14))) (cbrt.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7/2)) (pow.f64 x -7/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (pow.f64 x -7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) 8/15) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 225/64 (/.f64 (PI.f64) (pow.f64 x -14))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 15/8) (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))))))))) |
| 1× | egg-herbie |
| 878× | associate-/l/_binary64 |
| 822× | unswap-sqr_binary64 |
| 505× | *-commutative_binary64 |
| 405× | times-frac_binary64 |
| 399× | sqr-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 348 |
| 1 | 28 | 312 |
| 2 | 59 | 312 |
| 3 | 153 | 312 |
| 4 | 512 | 312 |
| 5 | 2242 | 312 |
| 6 | 2474 | 312 |
| 7 | 2813 | 312 |
| 8 | 4124 | 312 |
| 9 | 4235 | 312 |
| 10 | 4405 | 312 |
| 11 | 6053 | 312 |
| 12 | 6407 | 312 |
| 13 | 6894 | 312 |
| 14 | 7763 | 312 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 15/8 (pow.f64 x 7)) |
| ✓ | 0.2b | (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))) |
| ✓ | 0.2b | (/.f64 35/16 (pow.f64 x 3)) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
Compiled 115 to 91 computations (20.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
| 1.0ms | x | @ | 0 | (/.f64 35/16 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))) |
| 1× | batch-egg-rewrite |
| 459× | log1p-udef_binary64 |
| 273× | add-sqr-sqrt_binary64 |
| 260× | add-log-exp_binary64 |
| 260× | log1p-expm1-u_binary64 |
| 260× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 76 |
| 1 | 553 | 63 |
| 2 | 7991 | 63 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(/.f64 35/16 (pow.f64 x 3)) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))) |
(/.f64 15/8 (pow.f64 x 7)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 600× | fma-def_binary64 |
| 554× | associate-/r*_binary64 |
| 544× | associate-/l*_binary64 |
| 529× | sqr-pow_binary64 |
| 431× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 690 |
| 1 | 114 | 564 |
| 2 | 288 | 516 |
| 3 | 914 | 516 |
| 4 | 2643 | 516 |
| 5 | 4774 | 516 |
| 6 | 5132 | 516 |
| 7 | 5716 | 516 |
| 8 | 5901 | 516 |
| 9 | 6133 | 516 |
| 10 | 6359 | 516 |
| 11 | 6683 | 516 |
| 12 | 7174 | 516 |
| 13 | 7839 | 516 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(/.f64 15/8 (pow.f64 x 7)) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 35/16 (/.f64 1 x)) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 35/16 (/.f64 1 x)) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))) |
(/.f64 35/16 x) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x))) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))) |
(/.f64 35/16 x) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x))) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))) |
| Outputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 15/8 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 (/.f64 15/8 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) (*.f64 (/.f64 21/8 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (fma.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 21/8 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 15/8 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(+.f64 (+.f64 (fma.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 21/8 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 15/8 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 35/16 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 35/16 x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3)))) (*.f64 (/.f64 35/16 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 (/.f64 35/16 x) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 21/8 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (/.f64 35/16 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)) (/.f64 35/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(+.f64 (+.f64 (fma.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 21/8 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 15/8 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 35/16 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 35/16 x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3)))) (*.f64 (/.f64 35/16 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 (/.f64 35/16 x) (sqrt.f64 (/.f64 1 (PI.f64)))) (fma.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 21/8 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))) (/.f64 35/16 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)) (/.f64 35/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(+.f64 (+.f64 (fma.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 21/8 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 15/8 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 35/16 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))) |
(/.f64 15/8 (pow.f64 x 7)) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 35/16 (/.f64 1 x)) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x))) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 35/16 (/.f64 1 x)) (*.f64 15/8 (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x))) |
(/.f64 35/16 x) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))) |
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x))) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))) |
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x))) |
(/.f64 35/16 x) |
(+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x)) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))) |
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x))) |
(+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 21/8 (/.f64 1 (pow.f64 x 5))) (*.f64 35/16 (/.f64 1 x)))) |
(+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 x))) |
(+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| ✓ | 0.6b | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 154 to 71 computations (53.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) |
| 2.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) |
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) |
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.0ms | x | @ | inf | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1× | batch-egg-rewrite |
| 448× | log1p-udef_binary64 |
| 271× | add-sqr-sqrt_binary64 |
| 259× | pow1_binary64 |
| 257× | *-un-lft-identity_binary64 |
| 257× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 60 |
| 1 | 573 | 56 |
| 2 | 7903 | 56 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| Outputs |
|---|
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x) x) (*.f64 x (sqrt.f64 (PI.f64)))) 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))))) |
| 1× | egg-herbie |
| 404× | associate-/r/_binary64 |
| 388× | distribute-neg-frac_binary64 |
| 354× | associate-/l/_binary64 |
| 340× | fma-def_binary64 |
| 335× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 619 |
| 1 | 198 | 511 |
| 2 | 707 | 447 |
| 3 | 3372 | 411 |
| 4 | 6189 | 411 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 15/8 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -3/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 -15/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -3/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
| Outputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 21/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 35/16 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 3)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(+.f64 (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 35/16 (*.f64 (/.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 21/8 (*.f64 (/.f64 1 (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(fma.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (fma.f64 35/16 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 3))) (fma.f64 21/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (pow.f64 x 5))) (*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 35/16 x) (/.f64 21/8 (pow.f64 x 5))) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) |
(+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (/.f64 1/2 (pow.f64 x 3)) (exp.f64 (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3)))))) |
(+.f64 (*.f64 15/8 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 3/4 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 15/8 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) (fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x)) (fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (*.f64 (exp.f64 (*.f64 x x)) (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -1 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) |
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -3/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (fma.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)) (*.f64 (/.f64 1/2 (pow.f64 x 3)) (exp.f64 (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3)))))) |
(+.f64 (*.f64 -15/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) x) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 -3/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 5)) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (exp.f64 (pow.f64 x 2))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(fma.f64 15/8 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) (pow.f64 x 7)) (fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))) (/.f64 (*.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (/.f64 1 (PI.f64)))) x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 x x)) x)) (fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (*.f64 (exp.f64 (*.f64 x x)) (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -1 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 170 to 106 computations (37.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) |
| 10.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) |
| 4.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) |
| 1× | batch-egg-rewrite |
| 798× | prod-diff_binary64 |
| 399× | log1p-udef_binary64 |
| 238× | add-sqr-sqrt_binary64 |
| 227× | add-log-exp_binary64 |
| 226× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 84 |
| 1 | 519 | 82 |
| 2 | 6111 | 82 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 25675 to 17062 computations (33.5% saved)
119 alts after pruning (111 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 688 | 40 | 728 |
| Fresh | 34 | 71 | 105 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 7 | 9 |
| Total | 724 | 119 | 843 |
| Status | Error | Program |
|---|---|---|
| 3.1b | (*.f64 (exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) | |
| 2.0b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.9b | (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.7b | (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) x) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 48.3b | (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) | |
| 1.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.7b | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) | |
| 2.7b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| ✓ | 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2)))) |
| 44.7b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) | |
| 48.3b | (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) | |
| 48.3b | (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) | |
| 1.4b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 3)))) | |
| 56.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) | |
| 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (-.f64 (exp.f64 (log1p.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) 1)))) | |
| 2.8b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 1.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))))) 3)) | |
| 3.0b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1)))))) | |
| 2.1b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) | |
| 2.8b | (*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))) (cbrt.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) | |
| 1.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 1.8b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 9.8b | (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.8b | (*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) | |
| 2.9b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) | |
| 56.3b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 55.9b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) | |
| 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) | |
| 2.8b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.6b | (*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 43.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) | |
| 2.7b | (*.f64 (expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| ✓ | 2.9b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.6b | (*.f64 (*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.4b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) | |
| 1.5b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 9.1b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.0b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 44.7b | (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) | |
| 47.4b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) | |
| 55.9b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) | |
| 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8))))) | |
| 9.0b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| 2.7b | (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) | |
| 1.8b | (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| ✓ | 1.7b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) |
| 2.8b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 44.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)) | |
| 1.7b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) | |
| ✓ | 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
| 55.6b | (*.f64 (/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.8b | (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) | |
| 1.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))) | |
| 1.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 2) (*.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 15/8 (pow.f64 x -6))))) | |
| 43.6b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) | |
| 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 (pow.f64 x -6)) 15/8) 1))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) | |
| 55.6b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1)) (/.f64 x (exp.f64 (*.f64 x x))))) | |
| 1.9b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) | |
| 1.9b | (pow.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) (cbrt.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) 3) | |
| 9.1b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.8b | (/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) | |
| 1.4b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.3b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))))) | |
| 1.3b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) | |
| ✓ | 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
| 1.5b | (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| ✓ | 55.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
| ✓ | 1.4b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.7b | (*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 1 (*.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 3.0b | (pow.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 1) 3) | |
| 1.3b | (*.f64 (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1))))) | |
| 3.0b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (E.f64) (*.f64 x x))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) | |
| 3.0b | (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 3.0b | (/.f64 (*.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 (cbrt.f64 (PI.f64)) x)) 1) (cbrt.f64 (sqrt.f64 (PI.f64)))) | |
| 1.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) 3)) 2)))) | |
| 1.3b | (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) x) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 4.8b | (*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 44.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))) | |
| 56.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) | |
| 1.7b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.8b | (/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) | |
| 55.9b | (*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) | |
| ✓ | 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
| 2.6b | (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.7b | (*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) | |
| 41.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.9b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) | |
| 41.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 8.6b | (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) -3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 9.4b | (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 3.5b | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64)))))) 3) 3) | |
| 48.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) | |
| 44.7b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) | |
| 1.4b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) (cbrt.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) | |
| 1.7b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) 3) | |
| 1.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.8b | (/.f64 1 (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))))) | |
| 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (fma.f64 15/8 (pow.f64 x -6) (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))) | |
| 41.3b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) | |
| 2.9b | (*.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (neg.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.6b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
Compiled 3732 to 2798 computations (25% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) |
(*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) x) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
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(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1))) (cbrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))) (cbrt.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -4) (fma.f64 1/2 (pow.f64 x -2) 1)))))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))) (cbrt.f64 (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 1/3)) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64))))) 2) (cbrt.f64 (/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 15/8 (pow.f64 x -6)))))) (*.f64 x (sqrt.f64 (PI.f64)))))) |
(*.f64 (*.f64 (/.f64 1 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1))))) |
4 calls:
| 270.0ms | (fabs.f64 x) |
| 242.0ms | (fabs.f64 x) |
| 216.0ms | x |
| 162.0ms | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 1 | x |
| 1.2b | 1 | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) |
| 1.2b | 1 | (fabs.f64 x) |
| 1.2b | 1 | (fabs.f64 x) |
Compiled 6990 to 4210 computations (39.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) |
(*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) x) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) -1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 1/4) 2) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (neg.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (cbrt.f64 (pow.f64 (PI.f64) 3/2))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 3) 1/3) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) -3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1)) (/.f64 x (exp.f64 (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) x))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/8 (pow.f64 x -6))))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (cbrt.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) 3/2)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (fabs.f64 x)) (pow.f64 (pow.f64 (PI.f64) 1/4) 2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64)))) (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (exp.f64 (fma.f64 x x (log1p.f64 (fma.f64 (pow.f64 x -6) 15/8 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (sqrt.f64 (PI.f64))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (sqrt.f64 (PI.f64))) |
(/.f64 1 (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 (*.f64 x x) (log1p.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2)))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
1 calls:
| 92.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 1 | x |
Compiled 3122 to 1803 computations (42.2% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) |
(*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (exp.f64 x) x) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 1) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (*.f64 (sqrt.f64 (PI.f64)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (neg.f64 (sqrt.f64 (PI.f64))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) 1/3)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
1 calls:
| 46.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 1 | x |
Compiled 1571 to 941 computations (40.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) |
(*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
1 calls:
| 38.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | x |
Compiled 1040 to 654 computations (37.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) |
(*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (*.f64 (pow.f64 x -7) 15/8))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 0 (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
1 calls:
| 49.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 41.3b | 1 | x |
Compiled 865 to 572 computations (33.9% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) |
(*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
| Outputs |
|---|
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
1 calls:
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 43.6b | 1 | x |
Compiled 684 to 443 computations (35.2% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x x 1) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) 1))) |
(*.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 x (*.f64 x 7/5)) (fma.f64 7/6 (pow.f64 x 4) 1))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 15/8 (pow.f64 x 7))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
| Outputs |
|---|
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
1 calls:
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 44.7b | 1 | x |
Compiled 635 to 415 computations (34.6% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (fabs.f64 x) (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))) |
| Outputs |
|---|
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 48.3b | 1 | x |
Compiled 369 to 253 computations (31.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
| Outputs |
|---|
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 48.3b | 1 | x |
Compiled 272 to 190 computations (30.1% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 55.6b | 1 | x |
Compiled 261 to 183 computations (29.9% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
1 calls:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 56.3b | 1 | x |
Compiled 231 to 163 computations (29.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 56.5b | 1 | x |
Compiled 151 to 110 computations (27.2% saved)
Total -0.4b remaining (-0.7%)
Threshold costs -0.4b (-0.7%)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
(*.f64 35/16 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (pow.f64 x -7) (/.f64 15/8 (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (pow.f64 x -7) 15/8) (sqrt.f64 (PI.f64))) |
(/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 x -7) 15/8))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(+.f64 0 (*.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x -7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 15/8 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 1 (neg.f64 (pow.f64 x -7))))) |
(*.f64 15/8 (-.f64 (+.f64 1 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 15/8 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x -7)))) 1) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 56.7b | 1 | x |
Compiled 137 to 99 computations (27.7% saved)
| 1× | egg-herbie |
| 19× | *-commutative_binary64 |
| 15× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 444 |
| 1 | 123 | 444 |
| 2 | 127 | 444 |
| 3 | 129 | 444 |
| 4 | 130 | 444 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (+.f64 (fma.f64 3/4 (pow.f64 x -4) (*.f64 1/2 (pow.f64 x -2))) (fma.f64 15/8 (pow.f64 x -6) 1))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 (/.f64 15/8 (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (pow.f64 (PI.f64) -1/2)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 3/4 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x))))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (pow.f64 x 2)) x)) |
(/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (/.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))) (/.f64 (/.f64 1 (sqrt.f64 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (/.f64 35/16 x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 35/16 x)) |
Compiled 298 to 226 computations (24.2% saved)
| 3× | egg-herbie |
| 847× | unswap-sqr_binary64 |
| 709× | associate-*l/_binary64 |
| 655× | associate-*l*_binary64 |
| 653× | associate-/l*_binary64 |
| 646× | fma-def_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 152 |
| 1 | 91 | 82 |
| 2 | 321 | 58 |
| 3 | 1510 | 52 |
| 4 | 5398 | 49 |
| 5 | 6315 | 47 |
| 6 | 7322 | 47 |
| 0 | 71 | 1001 |
| 1 | 181 | 888 |
| 2 | 552 | 736 |
| 3 | 2772 | 661 |
| 4 | 4666 | 651 |
| 5 | 5348 | 651 |
| 6 | 5705 | 651 |
| 7 | 6551 | 651 |
| 8 | 7139 | 635 |
| 9 | 7973 | 635 |
| 0 | 51 | 502 |
| 1 | 129 | 490 |
| 2 | 300 | 472 |
| 3 | 700 | 458 |
| 4 | 2249 | 452 |
| 5 | 7160 | 452 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 7772 to 5506 computations (29.2% saved)
Compiled 286 to 177 computations (38.1% saved)
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