Time bar (total: 16.3s)
| 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)
| 4.7s | 8256× | body | 256 | valid |
| 669.0ms | 1285× | 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 (*.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))) |
| ✓ | 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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (*.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))) |
| 2.0ms | x | @ | inf | (*.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))) |
| 1.0ms | x | @ | 0 | (*.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))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.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 |
| 693× | log-prod_binary64 |
| 540× | pow-unpow_binary64 |
| 297× | pow2_binary64 |
| 215× | pow1/3_binary64 |
| 202× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 44 |
| 1 | 318 | 24 |
| 2 | 3958 | 24 |
| 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 (*.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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))))) (#(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 (pow.f64 (exp.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (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 *.f64 (pow.f64 (E.f64) (*.f64 1/2 (*.f64 x x))) (pow.f64 (E.f64) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (*.f64 x x)))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 x) (exp.f64 (log1p.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 x x)))) (E.f64))))) (#(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 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 1/2)))) (#(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 pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 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| 1× | egg-herbie |
| 818× | unswap-sqr_binary64 |
| 734× | associate-/r/_binary64 |
| 634× | associate-*l/_binary64 |
| 601× | times-frac_binary64 |
| 453× | exp-prod_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 312 |
| 1 | 21 | 264 |
| 2 | 38 | 264 |
| 3 | 75 | 264 |
| 4 | 169 | 264 |
| 5 | 504 | 264 |
| 6 | 1987 | 264 |
| 7 | 4872 | 264 |
| 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) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
| 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) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
(/.f64 1 (pow.f64 (fabs.f64 x) 7)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) |
| ✓ | 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 | @ | 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))))) |
| 2.0ms | 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 | @ | -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 | @ | inf | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) |
| 1.0ms | x | @ | 0 | (pow.f64 (exp.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 | 70 |
| 1 | 537 | 62 |
| 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 (pow.f64 (exp.f64 x) x) (fabs.f64 x)) (sqrt.f64 (PI.f64))) |
| 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)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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 *.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) 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 exp.f64 (*.f64 x x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (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 +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (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 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (*.f64 15/8 (pow.f64 x -6))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x)) (*.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (*.f64 15/8 (pow.f64 x -6)))) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (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 /.f64 (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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)))))) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (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 /.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (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 /.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (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 /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2))) (*.f64 (*.f64 x (sqrt.f64 (PI.f64))) 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x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.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) 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) (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 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 *.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 (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 pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 1)))))) |
| 1× | egg-herbie |
| 450× | fma-def_binary64 |
| 379× | associate-+l+_binary64 |
| 356× | distribute-rgt-out_binary64 |
| 342× | *-commutative_binary64 |
| 292× | associate-+r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 1154 |
| 1 | 212 | 1031 |
| 2 | 665 | 821 |
| 3 | 3224 | 719 |
| 4 | 4687 | 709 |
| 5 | 5501 | 709 |
| 6 | 5990 | 709 |
| 7 | 7001 | 709 |
| 8 | 7653 | 709 |
| 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 (/.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 |
|---|
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 1 (fma.f64 x x (*.f64 1/2 (pow.f64 x 4)))) |
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 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 1/2 (pow.f64 x 4) (fma.f64 x x 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 (*.f64 15/8 (/.f64 1 (*.f64 (pow.f64 x 6) (fabs.f64 x)))) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 x 6) (fabs.f64 x)))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 x 6) x))) |
(*.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 (*.f64 15/8 (/.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 (/.f64 21/8 x) (pow.f64 x 4)) (/.f64 15/8 (*.f64 (pow.f64 x 6) x)))) |
(*.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))))))) |
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(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 4) (fabs.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 x (/.f64 (fabs.f64 x) x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 x x) x) (fma.f64 1/2 (/.f64 (pow.f64 x 4) x) (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (fma.f64 1/2 (pow.f64 x 3) (/.f64 1 x)))) |
(+.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)))))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 4) (fabs.f64 x))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (*.f64 x x) (fabs.f64 x)))) (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 x 6) (fabs.f64 x)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 x (/.f64 (fabs.f64 x) x)) (*.f64 1/6 (/.f64 (pow.f64 x 6) (fabs.f64 x))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 4) (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 6) x) (*.f64 (/.f64 x x) x)) (fma.f64 1/2 (/.f64 (pow.f64 x 4) x) (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/6 (pow.f64 x 5) x) (fma.f64 1/2 (pow.f64 x 3) (/.f64 1 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 (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 (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 (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 (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 (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 (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 (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)) |
Compiled 30813 to 18908 computations (38.6% saved)
60 alts after pruning (60 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 360 | 60 | 420 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 362 | 60 | 422 |
| Status | Error | Program |
|---|---|---|
| 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)))))) | |
| 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 (pow.f64 (/.f64 1 x) 6) x)))) | |
| 2.7b | (*.f64 (expm1.f64 (log1p.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))))) | |
| ▶ | 7.5b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.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))))) |
| 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))))))) | |
| 48.2b | (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) | |
| 9.7b | (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (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))))) | |
| 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 (pow.f64 (/.f64 1 x) 5) (*.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))))) | |
| 9.8b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| ▶ | 1.6b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 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))))) |
| 1.3b | (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| 9.7b | (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) 3) (pow.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))) | |
| 55.5b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))) | |
| 1.2b | (/.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)) | |
| 2.7b | (*.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))))) | |
| 56.0b | (*.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))))) | |
| 2.8b | (*.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) (exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x)))))) | |
| 7.2b | (*.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))))) | |
| ▶ | 1.3b | (*.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))))) |
| 1.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (/.f64 1 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))))) | |
| 2.7b | (*.f64 (/.f64 (/.f64 (expm1.f64 (log1p.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 (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 (*.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))))) | |
| 4.6b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.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)))))) | |
| 55.6b | (*.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))))) | |
| 7.6b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (cbrt.f64 (pow.f64 (exp.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)))))) | |
| 1.4b | (*.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 (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))))) | |
| 10.0b | (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) 3) (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 3)) (+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64)) (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (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) 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))) | |
| 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))))) | |
| 1.3b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) |
| 1.7b | (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) | |
| 7.2b | (*.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))))) | |
| 3.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.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)))))) | |
| 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))))) | |
| ▶ | 56.9b | (*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| 1.8b | (*.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))))) | |
| 4.6b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.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)))))) | |
| 3.5b | (*.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x)))))))) | |
| 1.3b | (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (sqrt.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))))) | |
| 4.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 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)))))) | |
| 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))))))) | |
| 2.9b | (*.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))))) | |
| 2.6b | (+.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)))))))) | |
| 1.2b | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (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)))))) | |
| 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)))))) | |
| 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)) (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 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)))))) | |
| 41.4b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))) | |
| 2.9b | (*.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) (log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x)))))) | |
| 2.9b | (*.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 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 1 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))))) | |
| 1.3b | (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) | |
| 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))))) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
Compiled 5884 to 4138 computations (29.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
| ✓ | 0.4b | (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)) |
| ✓ | 0.4b | (*.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))))) |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 134 to 72 computations (46.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
| 1.0ms | x | @ | inf | (*.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))))) |
| 1.0ms | x | @ | 0 | (*.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))))) |
| 1.0ms | x | @ | -inf | (*.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))))) |
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
| 1× | batch-egg-rewrite |
| 443× | log1p-udef_binary64 |
| 268× | add-sqr-sqrt_binary64 |
| 254× | add-log-exp_binary64 |
| 254× | pow1_binary64 |
| 252× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 78 |
| 1 | 536 | 72 |
| 2 | 7683 | 72 |
| 1× | node limit |
| Inputs |
|---|
(*.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 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)) |
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (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 +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 15/8 (pow.f64 x 6))) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) 2)) (cbrt.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) x) (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (*.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (fma.f64 3/4 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) 2) x) (/.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) 3) (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (fma.f64 3/4 (pow.f64 x -2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) (#(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 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) -1/2) (/.f64 x (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (neg.f64 (pow.f64 (exp.f64 x) x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) -1/2)) (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) -1/2) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) 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 (pow.f64 (PI.f64) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (*.f64 x x) (log.f64 x)) (*.f64 -1/2 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 (*.f64 x x) (log.f64 x)) (*.f64 -1/2 (log.f64 (PI.f64)))) 1)))))) |
| 1× | egg-herbie |
| 872× | times-frac_binary64 |
| 492× | associate-*l/_binary64 |
| 492× | associate-/r*_binary64 |
| 445× | associate-/l*_binary64 |
| 390× | associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1051 |
| 1 | 183 | 920 |
| 2 | 540 | 835 |
| 3 | 2052 | 817 |
| 4 | 6446 | 799 |
| 5 | 7272 | 799 |
| 6 | 7689 | 799 |
| 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 (/.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 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 (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 (/.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)))) |
| Outputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 15/8) (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 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(*.f64 (sqrt.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 (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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (/.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)) (*.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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))))) |
(+.f64 (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))))) |
(*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(*.f64 (sqrt.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 (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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)) (/.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)) (*.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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))))) |
(+.f64 (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) x)) (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (*.f64 (pow.f64 (exp.f64 x) x) (+.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 1/2 (/.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))) |
(*.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 x (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 x 3) 1/2) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 x) (fma.f64 (pow.f64 x 3) 1/2 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 x (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 x 3) 1/2) x)) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 x 5) 1/6) (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 3) 1/2 x) (fma.f64 (pow.f64 x 5) 1/6 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 5) 1/6 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/2 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
| ✓ | 0.3b | (*.f64 15/8 (/.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 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
| 1.0ms | x | @ | inf | (*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
| 1.0ms | x | @ | -inf | (*.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 | @ | 0 | (/.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 |
| 260× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 1 | 234 | 23 |
| 2 | 2760 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 15/8) (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 15/8) (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) 1)))) (#(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 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (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 (/.f64 -1 (sqrt.f64 (PI.f64))) 15/8) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 15/8 (/.f64 -1 (sqrt.f64 (PI.f64)))) (neg.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (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 (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 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (*.f64 15/8 (/.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 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))) (sqrt.f64 (log.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (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 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 15/8 (/.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 15/8 (/.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 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64)))))) 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 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 15/8 (sqrt.f64 (PI.f64)))) (*.f64 (log.f64 (pow.f64 x 7)) 1))))))) |
((#(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 (/.f64 1 (cbrt.f64 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 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(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) (log.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (log.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 -1/2 (log.f64 (PI.f64))) (*.f64 (log.f64 (pow.f64 x 7)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) 1/2) (*.f64 (log.f64 (pow.f64 x 7)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 -1/2 (log.f64 (PI.f64))) 1) (*.f64 (log.f64 (pow.f64 x 7)) 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))))))) |
| 1× | egg-herbie |
| 880× | associate-/l/_binary64 |
| 824× | unswap-sqr_binary64 |
| 536× | sqr-pow_binary64 |
| 459× | *-commutative_binary64 |
| 437× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 420 |
| 1 | 27 | 348 |
| 2 | 54 | 348 |
| 3 | 139 | 348 |
| 4 | 476 | 348 |
| 5 | 2079 | 348 |
| 6 | 2307 | 348 |
| 7 | 2646 | 348 |
| 8 | 3961 | 348 |
| 9 | 4072 | 348 |
| 10 | 4242 | 348 |
| 11 | 5872 | 348 |
| 12 | 6222 | 348 |
| 13 | 6709 | 348 |
| 14 | 7567 | 348 |
| 1× | node limit |
| Inputs |
|---|
(*.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))))) |
(*.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))) |
| Outputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.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 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) |
| ✓ | 0.4b | (*.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))))) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 147 to 82 computations (44.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) |
| 1.0ms | x | @ | 0 | (*.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))))) |
| 0.0ms | x | @ | inf | (*.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))))) |
| 0.0ms | x | @ | -inf | (*.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× | batch-egg-rewrite |
| 272× | add-sqr-sqrt_binary64 |
| 259× | pow1_binary64 |
| 258× | *-un-lft-identity_binary64 |
| 257× | add-log-exp_binary64 |
| 255× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 66 |
| 1 | 568 | 56 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 (PI.f64)))) |
| Outputs |
|---|
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((x /.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 -1 (*.f64 x (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (*.f64 x (sqrt.f64 (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (*.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(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 (neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) -1)))) (#(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 -1 x) 1) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 1 x)) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 -1 x)) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 -1 x)) (*.f64 -1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (pow.f64 (exp.f64 x) x)) (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (pow.f64 (exp.f64 x) x)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 (sqrt.f64 (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (neg.f64 (pow.f64 (exp.f64 x) x))) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (cbrt.f64 (PI.f64))) (cbrt.f64 (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) 1) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 (pow.f64 (PI.f64) -1/2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (neg.f64 (pow.f64 (exp.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 x x) (log.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 x x) (log.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x))) 1)))))) |
| 1× | egg-herbie |
| 866× | times-frac_binary64 |
| 458× | associate-*l/_binary64 |
| 432× | associate-/r*_binary64 |
| 427× | associate-/l*_binary64 |
| 378× | associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 886 |
| 1 | 166 | 755 |
| 2 | 510 | 670 |
| 3 | 1995 | 652 |
| 4 | 6138 | 634 |
| 5 | 6820 | 634 |
| 6 | 7452 | 634 |
| 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 (/.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 (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 (/.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)))) |
| Outputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (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 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)))))))) |
(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 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 x) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(*.f64 (sqrt.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 (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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) (+.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 1 (/.f64 1/2 (*.f64 x x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 3/4 (pow.f64 x 5)) (exp.f64 (*.f64 x x))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x 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 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))) |
(*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))))) |
(+.f64 (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (exp.f64 (*.f64 x x)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x 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 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))) (*.f64 (/.f64 (exp.f64 (*.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) (+.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 1 (/.f64 1/2 (*.f64 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(*.f64 (sqrt.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 (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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) (+.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 1 (/.f64 1/2 (*.f64 x x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 3/4 (pow.f64 x 5)) (exp.f64 (*.f64 x x))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x 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 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))) |
(*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))))) |
(+.f64 (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x 7)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (exp.f64 (*.f64 x x)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x 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 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 3/4 (pow.f64 x 5)))) (*.f64 (/.f64 (exp.f64 (*.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) (+.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 1 (/.f64 1/2 (*.f64 x x)))))) |
(*.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 x (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (*.f64 (pow.f64 x 3) 1/2)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1 x) (fma.f64 (pow.f64 x 3) 1/2 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 x (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 x (*.f64 (pow.f64 x 3) 1/2))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 x 5) 1/6) (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 3) 1/2 x) (fma.f64 (pow.f64 x 5) 1/6 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 5) 1/6 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) 1/2 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.f64 (pow.f64 (exp.f64 x) x) (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 158 to 79 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) |
| 0.0ms | x | @ | -inf | (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) |
| 1× | batch-egg-rewrite |
| 713× | pow1_binary64 |
| 663× | add-log-exp_binary64 |
| 663× | log1p-expm1-u_binary64 |
| 663× | expm1-log1p-u_binary64 |
| 644× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 142 | 16 |
| 2 | 1807 | 16 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (PI.f64)) |
(/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 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 -.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 1 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 1 (neg.f64 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 1 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 1) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) 1/6)) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (pow.f64 (PI.f64) 1/6)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 x x) (log.f64 (cbrt.f64 (PI.f64))))))))) |
| 1× | egg-herbie |
| 864× | unswap-sqr_binary64 |
| 746× | distribute-lft-out_binary64 |
| 570× | fma-def_binary64 |
| 492× | associate-/l/_binary64 |
| 428× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 241 |
| 1 | 65 | 225 |
| 2 | 185 | 203 |
| 3 | 751 | 192 |
| 4 | 2110 | 192 |
| 5 | 4616 | 192 |
| 6 | 5296 | 192 |
| 7 | 6042 | 192 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 1 (PI.f64)) 1/3) |
(+.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 4))) (+.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 4))) (+.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 6)))))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
| Outputs |
|---|
(pow.f64 (/.f64 1 (PI.f64)) 1/3) |
(cbrt.f64 (/.f64 1 (PI.f64))) |
(+.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 2))) |
(+.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 x x))) |
(*.f64 (+.f64 (*.f64 x x) 1) (cbrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 x x 1)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 4))) (+.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 2)))) |
(fma.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4)) (+.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 x x)))) |
(fma.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 x x) 1) (cbrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 4))) (+.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (+.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (pow.f64 x 6)))))) |
(fma.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4)) (+.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 x x) (*.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 6)))))) |
(fma.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 x x) 1) (cbrt.f64 (/.f64 1 (PI.f64)))) (*.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 6))))) |
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 1/2 (pow.f64 x 4)) (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 x x 1) (*.f64 1/6 (pow.f64 x 6))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 x x 1) (fma.f64 1/6 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (pow.f64 x 4) 1) (fma.f64 1/6 (pow.f64 x 6) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/3) (exp.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (exp.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (cbrt.f64 (PI.f64)) | |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (pow.f64 (exp.f64 x) x) | |
| ✓ | 6.4b | (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) |
Compiled 216 to 88 computations (59.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) |
| 1.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) |
| 1× | batch-egg-rewrite |
| 745× | pow1_binary64 |
| 693× | add-log-exp_binary64 |
| 693× | log1p-expm1-u_binary64 |
| 693× | expm1-log1p-u_binary64 |
| 673× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 166 | 14 |
| 2 | 1975 | 14 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 22019 to 12632 computations (42.6% saved)
92 alts after pruning (91 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 566 | 63 | 629 |
| Fresh | 27 | 28 | 55 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 597 | 92 | 689 |
| Status | Error | Program |
|---|---|---|
| 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))))) | |
| 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)))))) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (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))))) | |
| 1.7b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (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))))) | |
| 2.7b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.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))))) | |
| 1.2b | (*.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)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 3/4 (pow.f64 x -2) 1/2)) -1)))) | |
| 7.4b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| 56.9b | (+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) | |
| 1.4b | (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64)))))) 2) | |
| 1.6b | (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) 2) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 48.2b | (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.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))))) | |
| 9.8b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| 1.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) | |
| 1.8b | (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64)))))) 3) | |
| 48.2b | (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) | |
| 2.7b | (*.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))))) | |
| 1.3b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.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))))) | |
| ▶ | 1.5b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) |
| 2.9b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 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))))) | |
| 1.2b | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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))))) | |
| 1.3b | (*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (PI.f64) -1/2) (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))))) | |
| 2.7b | (*.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.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 1 (/.f64 1/2 (*.f64 x x)))))) | |
| 3.0b | (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (cbrt.f64 (PI.f64))))) (/.f64 (/.f64 1 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))))) | |
| 1.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (/.f64 1 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))))) | |
| 56.3b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.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 (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))))) | |
| 1.3b | (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 1 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))))) | |
| 2.8b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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))))) | |
| 1.2b | (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (/.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 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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))))) |
| 55.6b | (*.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 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6))))) (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 (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))))) | |
| 1.8b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| 2.9b | (exp.f64 (+.f64 (*.f64 x x) (log.f64 (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64))))))) | |
| 1.3b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) |
| 7.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 1 x) (*.f64 (pow.f64 (exp.f64 x) (neg.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))))) | |
| 56.3b | (*.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))))) | |
| 7.2b | (*.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))))) | |
| 3.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.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)))))) | |
| 1.9b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 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))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| 2.9b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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))))) | |
| 2.7b | (expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64))))))) | |
| 1.7b | (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.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)))))) 3) | |
| 7.9b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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))))) | |
| 1.6b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) 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))))) | |
| 1.8b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| ▶ | 1.3b | (*.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))))) |
| 1.3b | (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (sqrt.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))))) | |
| 4.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 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)))))) | |
| 4.6b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.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)))))) | |
| 10.9b | (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.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))))) 3) 1/3) | |
| 56.9b | (sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) | |
| 56.9b | (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) | |
| 9.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 56.9b | (*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) | |
| 3.0b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 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))))) | |
| 2.6b | (+.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)))))))) | |
| 7.5b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| 7.9b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (exp.f64 (*.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))))) | |
| 56.9b | (/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) | |
| 2.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (expm1.f64 (log1p.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))))) | |
| 1.2b | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (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)))))) | |
| 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)))))) | |
| 2.9b | (*.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) (log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x)))))) | |
| ▶ | 2.9b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (PI.f64))) (cbrt.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))))) |
| 1.3b | (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.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))))) | |
| 1.8b | (*.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)))))) | |
| 1.3b | (*.f64 (/.f64 1 (*.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.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))))) | |
| 1.9b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 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))))) | |
| ▶ | 56.9b | (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
| 1.4b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) 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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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))))) | |
| 1.3b | (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.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 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))))) | |
| 2.0b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) | |
| 9.8b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 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))))) | |
| 1.7b | (*.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))))) | |
| 1.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))) 3) (/.f64 (/.f64 1 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))))) | |
| 1.3b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) |
Compiled 7137 to 5082 computations (28.8% saved)
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 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.f64 x))) |
| ✓ | 0.4b | (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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))))) |
| ✓ | 1.1b | (pow.f64 (exp.f64 x) (neg.f64 x)) |
Compiled 138 to 77 computations (44.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.f64 x))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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 | (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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× | batch-egg-rewrite |
| 285× | add-sqr-sqrt_binary64 |
| 271× | pow1_binary64 |
| 270× | add-log-exp_binary64 |
| 269× | log1p-expm1-u_binary64 |
| 269× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 74 |
| 1 | 567 | 64 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (exp.f64 x) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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) x) (pow.f64 (exp.f64 x) (neg.f64 x))) |
| Outputs |
|---|
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(2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) -1/4) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) -1/2)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x)) (*.f64 x x)) 1)))))) |
| 1× | egg-herbie |
| 493× | distribute-rgt-out_binary64 |
| 454× | fma-neg_binary64 |
| 388× | fma-def_binary64 |
| 321× | cancel-sign-sub-inv_binary64 |
| 320× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 1141 |
| 1 | 217 | 934 |
| 2 | 667 | 777 |
| 3 | 2935 | 741 |
| 4 | 5280 | 741 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 4))))) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 1/2 (pow.f64 x 4)))) |
(+.f64 1 (-.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 x x))) |
(-.f64 (fma.f64 1/2 (pow.f64 x 4) 1) (*.f64 x x)) |
(-.f64 (*.f64 1/2 (pow.f64 x 4)) (fma.f64 x x -1)) |
(fma.f64 1/2 (pow.f64 x 4) (-.f64 1 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1 (*.f64 x x) (*.f64 1/2 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 6) (-.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 x x)))) |
(fma.f64 -1/6 (pow.f64 x 6) (-.f64 (fma.f64 1/2 (pow.f64 x 4) 1) (*.f64 x x))) |
(-.f64 (fma.f64 1/2 (pow.f64 x 4) (*.f64 -1/6 (pow.f64 x 6))) (fma.f64 x x -1)) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 (exp.f64 x) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) x) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 (exp.f64 x) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) x) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 (exp.f64 x) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) x) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 (exp.f64 x) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) x) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 (exp.f64 x) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) x) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 (exp.f64 x) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) x) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 (exp.f64 x) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) x) |
(exp.f64 (*.f64 -1 (pow.f64 x 2))) |
(exp.f64 (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 (exp.f64 x) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) x) |
(*.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 15/8 (/.f64 (pow.f64 x 7) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.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 (*.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 35/16 (pow.f64 x 3)) (/.f64 21/8 (pow.f64 x 5))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 21/8 (pow.f64 x 5))))) |
(+.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 15/8 (pow.f64 x 7)) (/.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 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 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (+.f64 (/.f64 35/16 (pow.f64 x 3)) (+.f64 (/.f64 35/16 x) (/.f64 21/8 (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 x)))) x) (/.f64 1/2 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))))) |
(*.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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1)) |
(*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 3)))) (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 5))))))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1/2 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 3/4 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.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 (pow.f64 (exp.f64 x) x) x))) |
(*.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 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))) |
(+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(fma.f64 15/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 7)))) (fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 3)))) (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 5)))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1/2 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 3/4 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 5))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 7))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 x)))) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.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 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.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) (+.f64 (/.f64 1 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 x)))) x) (/.f64 1/2 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))))) |
(*.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 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1)) |
(*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 3)))) (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 5))))))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1/2 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 3/4 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.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 (pow.f64 (exp.f64 x) x) x))) |
(*.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 1/2 (pow.f64 x 3)) (/.f64 3/4 (pow.f64 x 5)))))) |
(+.f64 (*.f64 15/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64))))) (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 (pow.f64 x 2))))) (sqrt.f64 (/.f64 1 (PI.f64)))))))) |
(fma.f64 15/8 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 7)))) (fma.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 3)))) (*.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 5)))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 1/2 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))) (/.f64 3/4 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 5))))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 15/8 (*.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 7))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 x)))) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.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 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (/.f64 (pow.f64 (exp.f64 x) x) x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.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) (+.f64 (/.f64 1 x) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.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 x (sqrt.f64 (/.f64 1 (PI.f64)))))) |
(+.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 (*.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 x (sqrt.f64 (/.f64 1 (PI.f64))))))) |
(+.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 (pow.f64 x 5) 1/6) (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 1/2 (pow.f64 x 3) x) (fma.f64 (pow.f64 x 5) 1/6 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 (pow.f64 x 5) 1/6 (/.f64 1 x)) (fma.f64 1/2 (pow.f64 x 3) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (*.f64 x (exp.f64 (*.f64 x (neg.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) |
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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
| 1.0ms | x | @ | inf | (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
| 1.0ms | x | @ | inf | (*.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)))) |
| 1× | batch-egg-rewrite |
| 880× | pow1_binary64 |
| 827× | add-log-exp_binary64 |
| 827× | log1p-expm1-u_binary64 |
| 827× | expm1-log1p-u_binary64 |
| 809× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 195 | 23 |
| 2 | 2285 | 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 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 (PI.f64) 1/4) (pow.f64 x 7/2)) 2)))) (#(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 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 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 (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 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) (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 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) (sqrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (PI.f64))) 15/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 1 (sqrt.f64 (PI.f64))))))) (#(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 (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 (sqrt.f64 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (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 sqrt.f64 (/.f64 225/64 (*.f64 (PI.f64) (pow.f64 x 14))))))) (#(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 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)))))))) |
| 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 |
|---|---|---|
| 0.4b | (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 0.4b | (*.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))))) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 143 to 69 computations (51.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.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))))) |
| 1.0ms | x | @ | 0 | (*.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))))) |
| 0.0ms | x | @ | inf | (*.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))))) |
| 1× | batch-egg-rewrite |
| 272× | add-sqr-sqrt_binary64 |
| 259× | pow1_binary64 |
| 258× | *-un-lft-identity_binary64 |
| 257× | add-log-exp_binary64 |
| 255× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 45 |
| 1 | 543 | 41 |
| 1× | node limit |
| Inputs |
|---|
(*.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))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (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 +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (*.f64 15/8 (pow.f64 x -6))) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (*.f64 (*.f64 (fma.f64 3/4 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (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 (sqrt.f64 (PI.f64)) x))) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (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 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (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 |
| 868× | times-frac_binary64 |
| 447× | associate-*l/_binary64 |
| 436× | associate-/r*_binary64 |
| 434× | unswap-sqr_binary64 |
| 432× | associate-/l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 619 |
| 1 | 129 | 511 |
| 2 | 397 | 447 |
| 3 | 1547 | 429 |
| 4 | 6042 | 411 |
| 5 | 7003 | 401 |
| 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 (/.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))))))) |
| 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 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (/.f64 35/16 (pow.f64 x 3)))) |
(*.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 15/8 (pow.f64 x 7)) (/.f64 35/16 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 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.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 (/.f64 1/2 x) x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (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 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x 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 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1 x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x 5))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.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 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 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 (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 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.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 (/.f64 1/2 x) x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (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 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x 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 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1 x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x 5))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.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 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) |
| ✓ | 1.0b | (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 160 to 84 computations (47.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) |
| 1× | batch-egg-rewrite |
| 280× | add-sqr-sqrt_binary64 |
| 268× | pow1_binary64 |
| 266× | *-un-lft-identity_binary64 |
| 265× | add-log-exp_binary64 |
| 264× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 52 |
| 1 | 591 | 45 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (sqrt.f64 (PI.f64))) (cbrt.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 (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 /.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 3) 1) (+.f64 (*.f64 (+.f64 1 (sqrt.f64 (PI.f64))) (+.f64 1 (sqrt.f64 (PI.f64)))) (+.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (sqrt.f64 (PI.f64))) (+.f64 1 (sqrt.f64 (PI.f64)))) 1) (+.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 1))))) (#(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 sqrt.f64 (PI.f64))))) (#(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 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 exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.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 (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) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (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 +.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 (*.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 (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) (*.f64 (sqrt.f64 (PI.f64)) x)) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)) 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(sqrt.f64 (PI.f64)) x))) 2) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))) (*.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 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (*.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 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (PI.f64)) x)))))))) |
| 1× | egg-herbie |
| 868× | times-frac_binary64 |
| 447× | associate-*l/_binary64 |
| 436× | associate-/r*_binary64 |
| 434× | unswap-sqr_binary64 |
| 432× | associate-/l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 619 |
| 1 | 129 | 511 |
| 2 | 397 | 447 |
| 3 | 1547 | 429 |
| 4 | 6042 | 411 |
| 5 | 7003 | 401 |
| 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 (/.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))))))) |
| 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 (/.f64 21/8 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7))) (/.f64 35/16 (pow.f64 x 3)))) |
(*.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 15/8 (pow.f64 x 7)) (/.f64 35/16 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 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.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 (/.f64 1/2 x) x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (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 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x 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 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1 x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x 5))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.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 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 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 (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 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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (pow.f64 (exp.f64 x) x) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 x) x) x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) (+.f64 (/.f64 1/2 (*.f64 x x)) 1)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.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 (/.f64 1/2 x) x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (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 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (/.f64 3/4 (/.f64 (pow.f64 x 5) (exp.f64 (*.f64 x x)))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (exp.f64 (*.f64 x 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 (pow.f64 (exp.f64 x) x) (+.f64 (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1 x)))) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) 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 (*.f64 3/4 (exp.f64 (*.f64 x x))) (pow.f64 x 5))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.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 (/.f64 (exp.f64 (*.f64 x x)) x) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (cbrt.f64 (PI.f64)) | |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| 1.1b | (pow.f64 (exp.f64 x) x) | |
| ✓ | 2.2b | (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) |
Compiled 237 to 102 computations (57% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) |
| 1.0ms | x | @ | inf | (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) |
| 1.0ms | x | @ | -inf | (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) |
| 1× | batch-egg-rewrite |
| 462× | log-prod_binary64 |
| 411× | prod-diff_binary64 |
| 346× | exp-prod_binary64 |
| 276× | pow-prod-down_binary64 |
| 253× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 210 | 14 |
| 2 | 2587 | 14 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) |
| Outputs |
|---|
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(log.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) 1) (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (sqrt.f64 2)) (hypot.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (hypot.f64 x (sqrt.f64 (neg.f64 (log.f64 x))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2/3 (hypot.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))) (hypot.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))))))))) |
| 1× | egg-herbie |
| 761× | fma-neg_binary64 |
| 302× | fma-def_binary64 |
| 296× | distribute-rgt-in_binary64 |
| 290× | *-commutative_binary64 |
| 278× | exp-sum_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 208 |
| 1 | 86 | 202 |
| 2 | 190 | 202 |
| 3 | 468 | 202 |
| 4 | 1415 | 202 |
| 5 | 3094 | 190 |
| 6 | 6624 | 190 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) |
(+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3))) |
(+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 x 10)) 1/3)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3)))) |
(+.f64 (*.f64 4/81 (pow.f64 (*.f64 1 (pow.f64 x 16)) 1/3)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 x 10)) 1/3)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3))))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
| Outputs |
|---|
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) |
(cbrt.f64 (/.f64 1 (*.f64 x x))) |
(cbrt.f64 (pow.f64 x -2)) |
(+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3))) |
(+.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 2/3 (cbrt.f64 (pow.f64 x 4)))) |
(fma.f64 2/3 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (*.f64 x x)))) |
(fma.f64 2/3 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x -2))) |
(+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 x 10)) 1/3)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3)))) |
(fma.f64 2/9 (cbrt.f64 (pow.f64 x 10)) (+.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 2/3 (cbrt.f64 (pow.f64 x 4))))) |
(fma.f64 2/9 (cbrt.f64 (pow.f64 x 10)) (fma.f64 2/3 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (*.f64 x x))))) |
(fma.f64 2/3 (cbrt.f64 (pow.f64 x 4)) (fma.f64 2/9 (cbrt.f64 (pow.f64 x 10)) (cbrt.f64 (/.f64 1 (*.f64 x x))))) |
(fma.f64 2/9 (cbrt.f64 (pow.f64 x 10)) (fma.f64 2/3 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x -2)))) |
(+.f64 (*.f64 4/81 (pow.f64 (*.f64 1 (pow.f64 x 16)) 1/3)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 x 10)) 1/3)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/3))))) |
(fma.f64 4/81 (cbrt.f64 (pow.f64 x 16)) (fma.f64 2/9 (cbrt.f64 (pow.f64 x 10)) (+.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 2/3 (cbrt.f64 (pow.f64 x 4)))))) |
(fma.f64 4/81 (cbrt.f64 (pow.f64 x 16)) (fma.f64 2/9 (cbrt.f64 (pow.f64 x 10)) (fma.f64 2/3 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (*.f64 x x)))))) |
(fma.f64 2/3 (cbrt.f64 (pow.f64 x 4)) (fma.f64 2/9 (cbrt.f64 (pow.f64 x 10)) (fma.f64 4/81 (cbrt.f64 (pow.f64 x 16)) (cbrt.f64 (/.f64 1 (*.f64 x x)))))) |
(fma.f64 2/3 (cbrt.f64 (pow.f64 x 4)) (fma.f64 2/9 (cbrt.f64 (pow.f64 x 10)) (fma.f64 4/81 (cbrt.f64 (pow.f64 x 16)) (cbrt.f64 (pow.f64 x -2))))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))) |
(exp.f64 (*.f64 2/3 (-.f64 (pow.f64 x 2) (log.f64 x)))) |
(pow.f64 (exp.f64 2/3) (-.f64 (*.f64 x x) (log.f64 x))) |
Compiled 29015 to 16679 computations (42.5% saved)
101 alts after pruning (96 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 700 | 41 | 741 |
| Fresh | 31 | 55 | 86 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 732 | 101 | 833 |
| Status | Error | Program |
|---|---|---|
| 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))))) | |
| 3.0b | (*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2/3))) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) | |
| 2.8b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 (*.f64 x x) (log.f64 x)) 1/3)) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 1.3b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))) (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (/.f64 3/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 7)))))) | |
| 1.2b | (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 (neg.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))))) | |
| 56.9b | (/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) | |
| 1.7b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (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))))) | |
| 1.4b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) | |
| 2.7b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.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))))) | |
| 1.2b | (*.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)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 3/4 (pow.f64 x -2) 1/2)) -1)))) | |
| 7.4b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| 48.2b | (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) | |
| 2.7b | (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.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))))) | |
| 2.6b | (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (exp.f64 (*.f64 -1 (pow.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))))) | |
| 56.9b | (+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) | |
| 1.4b | (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64)))))) 2) | |
| 1.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 1 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))))) | |
| 48.2b | (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) | |
| 3.4b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (*.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2/3)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (*.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2/3)))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 9.8b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| 3.0b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (exp.f64 (*.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))))) | |
| 1.5b | (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.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))))) | |
| 1.7b | (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) | |
| 1.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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))))) | |
| 56.9b | (-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) | |
| 2.7b | (*.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))))) | |
| 1.2b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.5b | (*.f64 (/.f64 1 (/.f64 (expm1.f64 (log1p.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))))) | |
| 2.4b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 1/3) (*.f64 (*.f64 x x) 2)) (pow.f64 (exp.f64 1/3) (*.f64 (neg.f64 (log.f64 x)) 2))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| ▶ | 1.2b | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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))))) |
| 4.4b | (*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x)))))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 1.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.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 1 (/.f64 1/2 (*.f64 x x)))))) | |
| 3.0b | (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (cbrt.f64 (PI.f64))))) (/.f64 (/.f64 1 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))))) | |
| 1.9b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x)) 1) (/.f64 (/.f64 1 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))))) | |
| 1.3b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (*.f64 (/.f64 1 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))))) | |
| 2.7b | (*.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 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))))) | |
| 2.9b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.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))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) 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))))) | |
| 1.7b | (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.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 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 48.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) | |
| 56.3b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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))))) |
| 1.3b | (*.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))))) | |
| 48.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) | |
| ✓ | 1.2b | (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6))))) (sqrt.f64 (PI.f64))) | |
| 1.3b | (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.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 (/.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))))) | |
| 1.8b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| 2.0b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) | |
| 2.9b | (exp.f64 (+.f64 (*.f64 x x) (log.f64 (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64))))))) | |
| 3.6b | (*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2)))) (cbrt.f64 2/3)) (cbrt.f64 (-.f64 (*.f64 x x) (log.f64 x)))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 1.3b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) |
| 7.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 1 x) (*.f64 (pow.f64 (exp.f64 x) (neg.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))))) | |
| 56.3b | (*.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))))) | |
| 56.3b | (*.f64 (/.f64 1 (/.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))))) | |
| 2.2b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (expm1.f64 (log1p.f64 (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))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| 7.2b | (*.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))))) | |
| 2.7b | (expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64))))))) | |
| 7.9b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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))))) | |
| 1.6b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) 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))))) | |
| 1.8b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| ✓ | 1.3b | (*.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))))) |
| 1.8b | (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| 4.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 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)))))) | |
| 10.9b | (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.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))))) 3) 1/3) | |
| 56.9b | (sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) | |
| 56.9b | (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) | |
| ▶ | 9.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| ▶ | 56.9b | (/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
| 1.7b | (*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x)) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -1/2) 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))))) | |
| 7.9b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (exp.f64 (*.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))))) | |
| 56.9b | (/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) | |
| 2.9b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) 1) (/.f64 (/.f64 1 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))))) | |
| 2.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (expm1.f64 (log1p.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))))) | |
| 56.9b | (*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) | |
| 7.5b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| 56.9b | (*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) | |
| 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))))) | |
| 1.2b | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (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)))))) | |
| 2.9b | (*.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) (log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x)))))) | |
| 4.1b | (*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1) (*.f64 2/3 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (log.f64 x)))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| ✓ | 2.9b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (PI.f64))) (cbrt.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))))) |
| 1.3b | (*.f64 (/.f64 1 (*.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.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))))) | |
| 1.7b | (/.f64 (pow.f64 (cbrt.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))))) 2) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) (cbrt.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))))))) | |
| ✓ | 56.9b | (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
| 1.4b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.0b | (*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (/.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))))) | |
| 9.8b | (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| ▶ | 2.9b | (*.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 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 2.6b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 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))))) | |
| 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)))) | |
| 1.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64)))) 3) (/.f64 (/.f64 1 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))))) |
Compiled 6810 to 4896 computations (28.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x) |
| 0.4b | (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 0.4b | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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))))) |
| 1.1b | (pow.f64 (exp.f64 x) x) |
Compiled 136 to 76 computations (44.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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))))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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))))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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))))) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x) |
| 1× | batch-egg-rewrite |
| 443× | log1p-udef_binary64 |
| 268× | add-sqr-sqrt_binary64 |
| 254× | add-log-exp_binary64 |
| 254× | pow1_binary64 |
| 252× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 62 |
| 1 | 536 | 58 |
| 2 | 7828 | 58 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) (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 +.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) (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 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 15/8 (pow.f64 x 6))) (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (/.f64 1 (/.f64 x (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) 2) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) (pow.f64 (PI.f64) -1))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/4)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/4)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (neg.f64 (pow.f64 (exp.f64 x) x))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/2) 1) (/.f64 (pow.f64 (exp.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (pow.f64 (PI.f64) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) (pow.f64 (PI.f64) -1))) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/4)) 1) (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (PI.f64) -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) (pow.f64 (PI.f64) -1))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (PI.f64) -1/4)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (sqrt.f64 x)) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 x)) (/.f64 (pow.f64 (PI.f64) -1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) (pow.f64 (PI.f64) -1))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 -1/2 (log.f64 (PI.f64)))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 -1/2 (log.f64 (PI.f64)))) (log.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 866× | times-frac_binary64 |
| 458× | associate-*l/_binary64 |
| 432× | associate-/r*_binary64 |
| 427× | associate-/l*_binary64 |
| 378× | associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 886 |
| 1 | 166 | 755 |
| 2 | 510 | 670 |
| 3 | 1995 | 652 |
| 4 | 6138 | 634 |
| 5 | 6820 | 634 |
| 6 | 7452 | 634 |
| 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 (/.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 (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 (/.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)))) |
| Outputs |
|---|
(*.f64 15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 15/8 (pow.f64 x 7))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
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(*.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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) 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 (pow.f64 (exp.f64 x) x) (/.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))) |
(/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 x (pow.f64 (exp.f64 x) x))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x 14) |
| ✓ | 0.2b | (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))) |
| ✓ | 0.3b | (/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
| ✓ | 0.4b | (*.f64 (PI.f64) (pow.f64 x 14)) |
Compiled 27 to 19 computations (29.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 x 14) |
| 1.0ms | x | @ | 0 | (*.f64 (PI.f64) (pow.f64 x 14)) |
| 1.0ms | x | @ | inf | (pow.f64 x 14) |
| 1.0ms | x | @ | inf | (*.f64 (PI.f64) (pow.f64 x 14)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))) |
| 1× | batch-egg-rewrite |
| 855× | pow1_binary64 |
| 805× | add-log-exp_binary64 |
| 805× | log1p-expm1-u_binary64 |
| 805× | expm1-log1p-u_binary64 |
| 787× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 194 | 35 |
| 2 | 2235 | 35 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (PI.f64) (pow.f64 x 14)) |
(/.f64 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))) |
(pow.f64 x 14) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 x 14))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 28) (pow.f64 (PI.f64) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 28) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (pow.f64 x 14) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 14) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 x 14)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15/8 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (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 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) (sqrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -15/8 (/.f64 1 (neg.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) -1/2) 15/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) 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 (exp.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))))) |
((#(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 (*.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 (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 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 1/4) (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 x 14))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 1/2)))) (#(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 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 3/2) 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 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))))))) (#(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 cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 x 14)) 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 (pow.f64 x 14)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 14) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 14))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 14)) (cbrt.f64 (pow.f64 x 28)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 28)) (cbrt.f64 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 7) (pow.f64 x 7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 14) (pow.f64 (cbrt.f64 x) 14))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 14) (pow.f64 (sqrt.f64 x) 14))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 28))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 14) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 14 (log.f64 x))))))) |
| 1× | egg-herbie |
| 604× | times-frac_binary64 |
| 515× | fma-def_binary64 |
| 409× | fma-neg_binary64 |
| 381× | distribute-lft-neg-in_binary64 |
| 379× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 356 |
| 1 | 39 | 320 |
| 2 | 95 | 320 |
| 3 | 265 | 320 |
| 4 | 880 | 320 |
| 5 | 3777 | 320 |
| 6 | 4351 | 320 |
| 7 | 5788 | 320 |
| 8 | 7207 | 320 |
| 1× | node limit |
| Inputs |
|---|
(*.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))))) |
(*.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 -1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(*.f64 -1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(*.f64 -1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(*.f64 -1 (*.f64 (pow.f64 x 7) (sqrt.f64 (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 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 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 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 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 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 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 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 -15/8 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64))))) |
(*.f64 (*.f64 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) -15/8) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -15/8 (pow.f64 x 7))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.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 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) -15/8) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -15/8 (pow.f64 x 7))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.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 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) -15/8) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -15/8 (pow.f64 x 7))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.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 (/.f64 1 (pow.f64 x 7)) (sqrt.f64 (/.f64 1 (PI.f64)))) -15/8) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 -15/8 (pow.f64 x 7))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) -15/8) (pow.f64 x 7)) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64))) |
(*.f64 -1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 -1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 -1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 -1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(neg.f64 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) |
| ✓ | 0.4b | (*.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 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.0b | (sqrt.f64 (PI.f64)) | |
| ✓ | 2.4b | (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
Compiled 138 to 65 computations (52.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | (*.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 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 13.0ms | x | @ | 0 | (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) |
| 3.0ms | x | @ | -inf | (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) |
| 2.0ms | x | @ | inf | (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) |
| 1.0ms | x | @ | 0 | (exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
| 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 | 75 |
| 1 | 509 | 71 |
| 2 | 7470 | 71 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(*.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 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(-.f64 (*.f64 x x) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.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 +.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))) (*.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (*.f64 15/8 (pow.f64 x -6))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (fma.f64 3/4 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| 1× | egg-herbie |
| 686× | associate-*l/_binary64 |
| 496× | associate-/l/_binary64 |
| 462× | associate-*r/_binary64 |
| 457× | associate-+l+_binary64 |
| 457× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1368 |
| 1 | 286 | 1113 |
| 2 | 862 | 948 |
| 3 | 3707 | 842 |
| 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 (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)))) |
(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)))))) |
(*.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 x (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4))) (*.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 6)))))) |
(exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (+.f64 (*.f64 3/4 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 4))) (*.f64 15/8 (/.f64 (exp.f64 (-.f64 (pow.f64 x 2) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))) (pow.f64 x 6)))))) |
(*.f64 -1 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))) |
(+.f64 (*.f64 -1 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 x))) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (+.f64 (log.f64 (sqrt.f64 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64)))))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64)))))) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64)))))) (pow.f64 x 2)) |
| 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 1 (*.f64 x (sqrt.f64 (PI.f64)))) |
(+.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 1 (*.f64 x (sqrt.f64 (PI.f64)))) (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 1 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (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 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 (pow.f64 x 4) (*.f64 x (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (fma.f64 x x 1) (*.f64 1/6 (pow.f64 x 6))))) |
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 (PI.f64)))) (+.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 (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)))) |
(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)))) |
(*.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 (/.f64 (/.f64 15/8 x) (sqrt.f64 (PI.f64))) (pow.f64 x 6)) |
(/.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 (/.f64 (/.f64 15/8 x) (sqrt.f64 (PI.f64))) (pow.f64 x 6)) (/.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))) |
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(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sqrt.f64 (PI.f64))))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (-.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 -1 x)))) |
(-.f64 (fma.f64 x x (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (sqrt.f64 (PI.f64))))) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (sqrt.f64 (PI.f64)))))) (pow.f64 x 2)) |
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sqrt.f64 (PI.f64))))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (-.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 -1 x)))) |
(-.f64 (fma.f64 x x (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (sqrt.f64 (PI.f64))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| ✓ | 0.6b | (pow.f64 (pow.f64 (exp.f64 x) x) 3) |
| 1.1b | (pow.f64 (exp.f64 x) x) | |
| ✓ | 8.7b | (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) |
Compiled 157 to 89 computations (43.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (pow.f64 (exp.f64 x) x) 3) |
| 0.0ms | x | @ | -inf | (pow.f64 (pow.f64 (exp.f64 x) x) 3) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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 | @ | 0 | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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 | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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× | batch-egg-rewrite |
| 288× | add-sqr-sqrt_binary64 |
| 274× | add-log-exp_binary64 |
| 272× | pow1_binary64 |
| 272× | log1p-expm1-u_binary64 |
| 272× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 61 |
| 1 | 607 | 57 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) |
(pow.f64 (pow.f64 (exp.f64 x) x) 3) |
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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 |
|---|
((#(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 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (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 *.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 3/2)) 1/3) (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 (*.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 (*.f64 x 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 2 (*.f64 x 1/2)))))) (#(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 (pow.f64 (exp.f64 x) (*.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x 1/2))))) (#(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 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 exp.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (exp.f64 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (*.f64 x 3/2)) (pow.f64 (exp.f64 x) (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (*.f64 x 3)) (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 x 3)) (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 3)) (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) 3) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.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 (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 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (PI.f64) -1/2) (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 +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (*.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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) 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 (/.f64 (pow.f64 (exp.f64 x) x) x) (*.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 15/8 (pow.f64 x 6))) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) (*.f64 (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)) (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (+.f64 1 (/.f64 15/8 (pow.f64 x 6)))) (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (*.f64 x (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (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 /.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2))) (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3)) (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2)) (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x))) (*.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)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) 3) (pow.f64 (*.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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (pow.f64 (PI.f64) -1)) (-.f64 (*.f64 (*.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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x))) (*.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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)))) (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)) (*.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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) x)))))))))) 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| 1× | egg-herbie |
| 868× | times-frac_binary64 |
| 445× | associate-*l/_binary64 |
| 437× | associate-/r*_binary64 |
| 425× | associate-/l*_binary64 |
| 364× | associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 834 |
| 1 | 192 | 718 |
| 2 | 564 | 650 |
| 3 | 2084 | 632 |
| 4 | 6374 | 614 |
| 5 | 7691 | 614 |
| 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)) |
1 |
(+.f64 (*.f64 3 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 9/2 (pow.f64 x 4)) 1)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 9/2 (pow.f64 x 4)) (+.f64 1 (*.f64 9/2 (pow.f64 x 6))))) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(*.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 (/.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))))))) |
| 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 1 (fma.f64 x x (*.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) |
1 |
(+.f64 (*.f64 3 (pow.f64 x 2)) 1) |
(fma.f64 3 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) 3 1) |
(fma.f64 x (*.f64 x 3) 1) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 9/2 (pow.f64 x 4)) 1)) |
(fma.f64 3 (*.f64 x x) (fma.f64 9/2 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) 3 (fma.f64 (pow.f64 x 4) 9/2 1)) |
(fma.f64 x (*.f64 x 3) (fma.f64 (pow.f64 x 4) 9/2 1)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 9/2 (pow.f64 x 4)) (+.f64 1 (*.f64 9/2 (pow.f64 x 6))))) |
(fma.f64 3 (*.f64 x x) (+.f64 (fma.f64 9/2 (pow.f64 x 4) 1) (*.f64 (pow.f64 x 6) 9/2))) |
(fma.f64 (*.f64 x x) 3 (fma.f64 (pow.f64 x 4) 9/2 (fma.f64 (pow.f64 x 6) 9/2 1))) |
(fma.f64 (pow.f64 x 4) 9/2 (fma.f64 x (*.f64 x 3) (fma.f64 (pow.f64 x 6) 9/2 1))) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (*.f64 x x)) 3) |
(pow.f64 (pow.f64 (exp.f64 x) x) 3) |
(pow.f64 (exp.f64 x) (*.f64 x 3)) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (*.f64 x x)) 3) |
(pow.f64 (pow.f64 (exp.f64 x) x) 3) |
(pow.f64 (exp.f64 x) (*.f64 x 3)) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (*.f64 x x)) 3) |
(pow.f64 (pow.f64 (exp.f64 x) x) 3) |
(pow.f64 (exp.f64 x) (*.f64 x 3)) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (*.f64 x x)) 3) |
(pow.f64 (pow.f64 (exp.f64 x) x) 3) |
(pow.f64 (exp.f64 x) (*.f64 x 3)) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (*.f64 x x)) 3) |
(pow.f64 (pow.f64 (exp.f64 x) x) 3) |
(pow.f64 (exp.f64 x) (*.f64 x 3)) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (*.f64 x x)) 3) |
(pow.f64 (pow.f64 (exp.f64 x) x) 3) |
(pow.f64 (exp.f64 x) (*.f64 x 3)) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (*.f64 x x)) 3) |
(pow.f64 (pow.f64 (exp.f64 x) x) 3) |
(pow.f64 (exp.f64 x) (*.f64 x 3)) |
(pow.f64 (exp.f64 (pow.f64 x 2)) 3) |
(pow.f64 (exp.f64 (*.f64 x x)) 3) |
(pow.f64 (pow.f64 (exp.f64 x) x) 3) |
(pow.f64 (exp.f64 x) (*.f64 x 3)) |
(*.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 35/16 (pow.f64 x 3)) (/.f64 21/8 (pow.f64 x 5))))) |
(*.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 35/16 x) (+.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 (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 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(*.f64 (sqrt.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 (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)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)) (*.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 (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 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))))) |
(+.f64 (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (/.f64 (*.f64 3/4 (pow.f64 (exp.f64 x) x)) (pow.f64 x 5))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))) (*.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) (+.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 1 (/.f64 1/2 (*.f64 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 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(+.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(*.f64 (sqrt.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 (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)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)))) |
(fma.f64 3/4 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 5))) (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.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 (*.f64 (pow.f64 (exp.f64 x) x) 3/4) (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x)) (*.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 (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 (/.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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) (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 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x))))) |
(+.f64 (*.f64 (sqrt.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7))) (/.f64 (*.f64 3/4 (pow.f64 (exp.f64 x) x)) (pow.f64 x 5))))) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (fma.f64 15/8 (/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x 7)) (*.f64 (/.f64 3/4 (pow.f64 x 5)) (pow.f64 (exp.f64 x) x))) (*.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) (+.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 1 (/.f64 1/2 (*.f64 x x)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (cbrt.f64 (exp.f64 x)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (exp.f64 x)) 2) |
| ✓ | 1.1b | (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
| ✓ | 1.1b | (pow.f64 (cbrt.f64 (exp.f64 x)) x) |
Compiled 191 to 97 computations (49.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (exp.f64 x)) 2) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (exp.f64 x)) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (exp.f64 x)) x) |
| 1.0ms | x | @ | 0 | (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
| 1.0ms | x | @ | -inf | (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
| 1× | batch-egg-rewrite |
| 657× | pow1_binary64 |
| 609× | add-log-exp_binary64 |
| 609× | log1p-expm1-u_binary64 |
| 609× | expm1-log1p-u_binary64 |
| 590× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 166 | 32 |
| 2 | 1861 | 32 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (exp.f64 x)) x) |
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
(pow.f64 (cbrt.f64 (exp.f64 x)) 2) |
(cbrt.f64 (exp.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4)) (*.f64 x 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2) x) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (pow.f64 (pow.f64 (exp.f64 x) 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (*.f64 x 1/2) 2)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (*.f64 x 1/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) x)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (*.f64 x 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2) (*.f64 x 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (*.f64 x 2)) (pow.f64 (pow.f64 (exp.f64 x) 1/6) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4)) x) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (*.f64 2 (*.f64 x 1/3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 1/6) (*.f64 (pow.f64 (exp.f64 x) 1/6) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 x 1/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 1/6) (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x 1/3)))))) |
| 1× | egg-herbie |
| 608× | distribute-lft-out_binary64 |
| 590× | distribute-rgt-in_binary64 |
| 581× | distribute-lft-in_binary64 |
| 416× | unswap-sqr_binary64 |
| 414× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 442 |
| 1 | 170 | 418 |
| 2 | 418 | 408 |
| 3 | 1359 | 392 |
| 4 | 3286 | 392 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 1/162 (pow.f64 x 6))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
1 |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 1 (*.f64 2/9 (pow.f64 x 4)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 4/81 (pow.f64 x 6)) (*.f64 2/9 (pow.f64 x 4))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
1 |
(+.f64 (*.f64 2/3 x) 1) |
(+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 2/9 (pow.f64 x 2)))) |
(+.f64 (*.f64 2/3 x) (+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 4/81 (pow.f64 x 3))))) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))) |
(+.f64 1 (+.f64 (*.f64 1/162 (pow.f64 x 3)) (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x)))) |
(pow.f64 (exp.f64 x) 1/3) |
(pow.f64 (exp.f64 x) 1/3) |
(pow.f64 (exp.f64 x) 1/3) |
(pow.f64 (exp.f64 x) 1/3) |
(pow.f64 (exp.f64 x) 1/3) |
(pow.f64 (exp.f64 x) 1/3) |
(pow.f64 (exp.f64 x) 1/3) |
(pow.f64 (exp.f64 x) 1/3) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/3 (*.f64 x x))) |
(fma.f64 1/3 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/3 x) 1) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 1/18 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x)))) |
(+.f64 (fma.f64 1/3 (*.f64 x x) 1) (*.f64 1/18 (pow.f64 x 4))) |
(fma.f64 1/3 (*.f64 x x) (fma.f64 1/18 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 1/162 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 1/18 (pow.f64 x 4) (fma.f64 1/3 (*.f64 x x) (*.f64 1/162 (pow.f64 x 6))))) |
(+.f64 (fma.f64 1/3 (*.f64 x x) (*.f64 1/18 (pow.f64 x 4))) (fma.f64 1/162 (pow.f64 x 6) 1)) |
(+.f64 1 (fma.f64 1/3 (*.f64 x x) (fma.f64 1/18 (pow.f64 x 4) (*.f64 1/162 (pow.f64 x 6))))) |
(+.f64 (fma.f64 1/3 (*.f64 x x) 1) (fma.f64 1/18 (pow.f64 x 4) (*.f64 1/162 (pow.f64 x 6)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(pow.f64 (cbrt.f64 (exp.f64 x)) x) |
(cbrt.f64 (pow.f64 (exp.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(pow.f64 (cbrt.f64 (exp.f64 x)) x) |
(cbrt.f64 (pow.f64 (exp.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(pow.f64 (cbrt.f64 (exp.f64 x)) x) |
(cbrt.f64 (pow.f64 (exp.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(pow.f64 (cbrt.f64 (exp.f64 x)) x) |
(cbrt.f64 (pow.f64 (exp.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(pow.f64 (cbrt.f64 (exp.f64 x)) x) |
(cbrt.f64 (pow.f64 (exp.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(pow.f64 (cbrt.f64 (exp.f64 x)) x) |
(cbrt.f64 (pow.f64 (exp.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(pow.f64 (cbrt.f64 (exp.f64 x)) x) |
(cbrt.f64 (pow.f64 (exp.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) |
(pow.f64 (cbrt.f64 (exp.f64 x)) x) |
(cbrt.f64 (pow.f64 (exp.f64 x) x)) |
1 |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 1) |
(fma.f64 2/3 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) 2/3 1) |
(fma.f64 x (*.f64 x 2/3) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 1 (*.f64 2/9 (pow.f64 x 4)))) |
(fma.f64 2/3 (*.f64 x x) (+.f64 1 (*.f64 (pow.f64 x 4) 2/9))) |
(fma.f64 (*.f64 x x) 2/3 (fma.f64 (pow.f64 x 4) 2/9 1)) |
(fma.f64 x (*.f64 x 2/3) (fma.f64 (pow.f64 x 4) 2/9 1)) |
(fma.f64 (pow.f64 x 4) 2/9 (fma.f64 (*.f64 x x) 2/3 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 4/81 (pow.f64 x 6)) (*.f64 2/9 (pow.f64 x 4))))) |
(+.f64 (fma.f64 2/3 (*.f64 x x) 1) (fma.f64 4/81 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 2/9))) |
(+.f64 (fma.f64 (*.f64 x x) 2/3 1) (fma.f64 (pow.f64 x 4) 2/9 (*.f64 (pow.f64 x 6) 4/81))) |
(fma.f64 x (*.f64 x 2/3) (fma.f64 (pow.f64 x 4) 2/9 (fma.f64 (pow.f64 x 6) 4/81 1))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
(pow.f64 (exp.f64 x) (*.f64 x 2/3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
(pow.f64 (exp.f64 x) (*.f64 x 2/3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
(pow.f64 (exp.f64 x) (*.f64 x 2/3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
(pow.f64 (exp.f64 x) (*.f64 x 2/3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
(pow.f64 (exp.f64 x) (*.f64 x 2/3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
(pow.f64 (exp.f64 x) (*.f64 x 2/3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
(pow.f64 (exp.f64 x) (*.f64 x 2/3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) |
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) |
(pow.f64 (exp.f64 x) (*.f64 x 2/3)) |
1 |
(+.f64 (*.f64 2/3 x) 1) |
(fma.f64 2/3 x 1) |
(fma.f64 x 2/3 1) |
(+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 2/9 (pow.f64 x 2)))) |
(+.f64 (fma.f64 2/3 x 1) (*.f64 (*.f64 x x) 2/9)) |
(fma.f64 x 2/3 (fma.f64 (*.f64 x x) 2/9 1)) |
(fma.f64 x 2/3 (fma.f64 x (*.f64 x 2/9) 1)) |
(+.f64 (*.f64 2/3 x) (+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 4/81 (pow.f64 x 3))))) |
(+.f64 (fma.f64 2/3 x 1) (fma.f64 2/9 (*.f64 x x) (*.f64 4/81 (pow.f64 x 3)))) |
(+.f64 (fma.f64 x 2/3 1) (fma.f64 (*.f64 x x) 2/9 (*.f64 4/81 (pow.f64 x 3)))) |
(fma.f64 x 2/3 (fma.f64 x (*.f64 x 2/9) (fma.f64 4/81 (pow.f64 x 3) 1))) |
(+.f64 1 (*.f64 x (+.f64 2/3 (*.f64 x (+.f64 2/9 (*.f64 x 4/81)))))) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(cbrt.f64 (pow.f64 (exp.f64 x) 2)) |
(pow.f64 (exp.f64 2/3) x) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(cbrt.f64 (pow.f64 (exp.f64 x) 2)) |
(pow.f64 (exp.f64 2/3) x) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(cbrt.f64 (pow.f64 (exp.f64 x) 2)) |
(pow.f64 (exp.f64 2/3) x) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(cbrt.f64 (pow.f64 (exp.f64 x) 2)) |
(pow.f64 (exp.f64 2/3) x) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(cbrt.f64 (pow.f64 (exp.f64 x) 2)) |
(pow.f64 (exp.f64 2/3) x) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(cbrt.f64 (pow.f64 (exp.f64 x) 2)) |
(pow.f64 (exp.f64 2/3) x) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(cbrt.f64 (pow.f64 (exp.f64 x) 2)) |
(pow.f64 (exp.f64 2/3) x) |
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3) |
(cbrt.f64 (pow.f64 (exp.f64 x) 2)) |
(pow.f64 (exp.f64 2/3) x) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))) |
(+.f64 1 (fma.f64 1/18 (*.f64 x x) (*.f64 1/3 x))) |
(+.f64 1 (fma.f64 1/3 x (*.f64 x (*.f64 x 1/18)))) |
(fma.f64 x (*.f64 x 1/18) (fma.f64 1/3 x 1)) |
(fma.f64 1/3 x (fma.f64 x (*.f64 x 1/18) 1)) |
(+.f64 1 (+.f64 (*.f64 1/162 (pow.f64 x 3)) (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x)))) |
(+.f64 1 (fma.f64 1/162 (pow.f64 x 3) (fma.f64 1/18 (*.f64 x x) (*.f64 1/3 x)))) |
(+.f64 (fma.f64 1/162 (pow.f64 x 3) (*.f64 x (*.f64 x 1/18))) (fma.f64 1/3 x 1)) |
(fma.f64 1/162 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/18) (fma.f64 1/3 x 1))) |
(fma.f64 1/162 (pow.f64 x 3) (fma.f64 1/3 x (fma.f64 x (*.f64 x 1/18) 1))) |
(pow.f64 (exp.f64 x) 1/3) |
(cbrt.f64 (exp.f64 x)) |
(pow.f64 (exp.f64 x) 1/3) |
(cbrt.f64 (exp.f64 x)) |
(pow.f64 (exp.f64 x) 1/3) |
(cbrt.f64 (exp.f64 x)) |
(pow.f64 (exp.f64 x) 1/3) |
(cbrt.f64 (exp.f64 x)) |
(pow.f64 (exp.f64 x) 1/3) |
(cbrt.f64 (exp.f64 x)) |
(pow.f64 (exp.f64 x) 1/3) |
(cbrt.f64 (exp.f64 x)) |
(pow.f64 (exp.f64 x) 1/3) |
(cbrt.f64 (exp.f64 x)) |
(pow.f64 (exp.f64 x) 1/3) |
(cbrt.f64 (exp.f64 x)) |
Compiled 26356 to 15841 computations (39.9% saved)
101 alts after pruning (94 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 684 | 43 | 727 |
| Fresh | 40 | 51 | 91 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 727 | 101 | 828 |
| Status | Error | Program |
|---|---|---|
| 2.8b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 (*.f64 x x) (log.f64 x)) 1/3)) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 1.3b | (*.f64 (/.f64 1 (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (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))))) | |
| 1.8b | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| 3.0b | (*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2/3))) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) | |
| 1.2b | (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 (neg.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))))) | |
| 3.6b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3) 2) x) (pow.f64 (cbrt.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))))) | |
| 2.0b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 1/6)) x) (pow.f64 (cbrt.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))))) | |
| 1.7b | (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (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))))) | |
| 1.4b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) | |
| 2.7b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.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))))) | |
| 2.4b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (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))))) | |
| 2.7b | (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.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))))) | |
| 1.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 3.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3) 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.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)))))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) | |
| 10.6b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3)) 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 | (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64)))))) 2) | |
| 1.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 1 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))))) | |
| 9.8b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x 1/2)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 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) | |
| 1.3b | (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (exp.f64 (*.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))))) | |
| 1.3b | (*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) 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))))) | |
| 1.5b | (*.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.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))))) | |
| 2.8b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (E.f64) (*.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))))) | |
| 2.7b | (*.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))))) | |
| 1.2b | (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 1.3b | (*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) 2) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.4b | (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 1/3) (*.f64 (*.f64 x x) 2)) (pow.f64 (exp.f64 1/3) (*.f64 (neg.f64 (log.f64 x)) 2))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 10.9b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) 1/3) 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 (*.f64 (pow.f64 (PI.f64) -1/2) (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))))) |
| 1.2b | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 3/4 (pow.f64 x -2) 1/2)) -1)))) | |
| 2.7b | (*.f64 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (sqrt.f64 (/.f64 1 (PI.f64))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.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 1 (/.f64 1/2 (*.f64 x x)))))) | |
| 1.2b | (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.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)))))) x) | |
| 3.0b | (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (cbrt.f64 (PI.f64))))) (/.f64 (/.f64 1 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))))) | |
| 3.3b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1/3)) 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 (pow.f64 (exp.f64 x) x) (*.f64 (/.f64 1 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))))) | |
| 1.2b | (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) (/.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))))) | |
| 2.9b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (expm1.f64 (log1p.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))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) 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))))) | |
| 48.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 (pow.f64 (exp.f64 x) x) x)) | |
| 10.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 2.6b | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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))))) | |
| ✓ | 1.2b | (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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))))) |
| 2.6b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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))))) | |
| 48.2b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) | |
| 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))))) | |
| 1.3b | (/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6))))) (sqrt.f64 (PI.f64))) | |
| 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))))) | |
| 1.4b | (*.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))))) | |
| 2.0b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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))))) | |
| 3.0b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (pow.f64 (cbrt.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))))) | |
| 2.9b | (exp.f64 (+.f64 (*.f64 x x) (log.f64 (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64))))))) | |
| 3.6b | (*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2)))) (cbrt.f64 2/3)) (cbrt.f64 (-.f64 (*.f64 x x) (log.f64 x)))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| 44.7b | (*.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) 1) (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) | |
| ✓ | 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))))) |
| 2.9b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 2 (*.f64 x 1/3)))) (pow.f64 (cbrt.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))))) | |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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))))) | |
| 2.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (expm1.f64 (log1p.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))))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 1 x) (*.f64 (pow.f64 (exp.f64 x) (neg.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))))) | |
| 2.6b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)) (pow.f64 (cbrt.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))))) | |
| 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))))) | |
| 2.2b | (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (expm1.f64 (log1p.f64 (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 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))))) |
| 2.7b | (expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6)))) (*.f64 x (sqrt.f64 (PI.f64))))))) | |
| 1.6b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) 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))))) | |
| 4.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 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)))))) | |
| 2.8b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x x)) 1) (pow.f64 (cbrt.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))))) | |
| 10.9b | (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.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))))) 3) 1/3) | |
| 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))))) | |
| ✓ | 9.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 2.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) x) (pow.f64 (cbrt.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))))) | |
| 1.7b | (*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x)) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) -1/2) 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))))) | |
| 7.9b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (exp.f64 (*.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))))) | |
| 7.5b | (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| 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))))) | |
| 7.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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))))) | |
| 2.9b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) 1) (/.f64 (/.f64 1 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))))) | |
| 48.2b | (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) | |
| 1.2b | (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (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)))))) | |
| 4.1b | (*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1) (*.f64 2/3 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (log.f64 x)))) (cbrt.f64 (PI.f64))) (cbrt.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))))) | |
| ✓ | 2.9b | (*.f64 (*.f64 (/.f64 (exp.f64 (*.f64 1/3 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) (cbrt.f64 (PI.f64))) (cbrt.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))))) |
| 1.3b | (*.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 (pow.f64 (cbrt.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))))) 2) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 x (pow.f64 (exp.f64 x) x))) (cbrt.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))))))) | |
| 3.2b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.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))))) | |
| 1.8b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) | |
| 48.2b | (*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) | |
| 2.7b | (*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (exp.f64 (*.f64 x (*.f64 x 1/3)))) 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 1 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (/.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))))) | |
| 9.8b | (*.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))))) | |
| 9.8b | (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) x))) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) | |
| 53.0b | (*.f64 (exp.f64 (*.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))))) | |
| 1.3b | (*.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))))) | |
| ✓ | 2.9b | (*.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 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| 1.7b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 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))))) | |
| 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)))) | |
| 2.8b | (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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))))) |
Compiled 3592 to 2563 computations (28.6% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (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 (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 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.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)) 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 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1/3)) 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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (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 (/.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 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 (pow.f64 (PI.f64) -1/2) 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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 (PI.f64) -1/2) (/.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 (/.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 (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 (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 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (E.f64) (*.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 (PI.f64) -1/2) x) (pow.f64 (exp.f64 (neg.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 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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 (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 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (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 (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))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (exp.f64 (*.f64 -1 (pow.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 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 1 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 x (*.f64 (pow.f64 (PI.f64) -1/2) (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 (/.f64 1 x) (*.f64 (pow.f64 (exp.f64 x) (neg.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 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.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 (pow.f64 (exp.f64 x) x) (*.f64 (/.f64 1 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) 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) (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 (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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3)) 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 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) 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 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.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 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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))))) |
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(/.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))) |
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(/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.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)))))) x) |
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(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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 (PI.f64) -1/2) (/.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.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 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.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))))) |
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(*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 x) (expm1.f64 (log1p.f64 (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))))) |
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(*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.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 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2)))) (cbrt.f64 2/3)) (cbrt.f64 (-.f64 (*.f64 x x) (log.f64 x)))) (cbrt.f64 (PI.f64))) (cbrt.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 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) (exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x)))))) |
(*.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) (log.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x)))))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (pow.f64 (cbrt.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 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)))))) |
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (+.f64 1 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 3))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2))) 2) (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 (/.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 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 x x) (log.f64 x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 x x) (log.f64 x)))))) (cbrt.f64 (PI.f64))) (cbrt.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 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 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 (/.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 1 x) 6) x)))))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.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 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.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 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (cbrt.f64 (pow.f64 (exp.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)))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.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 (/.f64 1 (sqrt.f64 (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 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 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) 3) (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))) 3)) (+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 2) (PI.f64)) (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) x) (fma.f64 15/8 (pow.f64 x -6) (*.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2)))))))) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.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)))))) x) |
3 calls:
| 283.0ms | x |
| 250.0ms | (*.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)))))) |
| 143.0ms | (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) |
Compiled 7974 to 4507 computations (43.5% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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))))) |
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(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) 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 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) 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 1 (/.f64 (expm1.f64 (log1p.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 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) 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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) 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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (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)) (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 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (/.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 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (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 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 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 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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)) 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) (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 1 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))))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 2 (*.f64 x 1/3)))) (pow.f64 (cbrt.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 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 3/4 (pow.f64 x -2) 1/2)) -1)))) |
(*.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)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 3/4 (pow.f64 x -2) 1/2)) -1)))) |
(*.f64 (/.f64 (/.f64 (expm1.f64 (log1p.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 (/.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 (/.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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.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 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 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 (/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (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) (+.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 1 (/.f64 1/2 (*.f64 x x)))))) |
(*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) (log.f64 (cbrt.f64 (PI.f64))))) (/.f64 (/.f64 1 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 (/.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 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 1 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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)) (pow.f64 (cbrt.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 (PI.f64) -1/2) (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (exp.f64 (*.f64 x (*.f64 x 1/3)))) 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) (+.f64 1 (fma.f64 (fma.f64 3/4 (pow.f64 x -2) 1/2) (pow.f64 x -2) (*.f64 15/8 (pow.f64 x -6))))) (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) x) (/.f64 (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)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 3/4 (pow.f64 x -2) 1/2)) -1)))) |
1 calls:
| 170.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 1 | x |
Compiled 3631 to 2070 computations (43% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (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 (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 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.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)) 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 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1/3)) 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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (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 (/.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 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 (pow.f64 (PI.f64) -1/2) 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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 (PI.f64) -1/2) (/.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 (/.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 (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 (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 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (E.f64) (*.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 (PI.f64) -1/2) x) (pow.f64 (exp.f64 (neg.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 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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 (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 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (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 (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))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (exp.f64 (*.f64 -1 (pow.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 (pow.f64 (PI.f64) -1/2) (*.f64 (/.f64 1 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 x (*.f64 (pow.f64 (PI.f64) -1/2) (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 (/.f64 1 x) (*.f64 (pow.f64 (exp.f64 x) (neg.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 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.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 (pow.f64 (exp.f64 x) x) (*.f64 (/.f64 1 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) 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) (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 (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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3)) 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 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) 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 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.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 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.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 (PI.f64) -1/2) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x 1/2)) 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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) 1/3) 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) 1) (/.f64 (/.f64 1 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 (exp.f64 (*.f64 x x)) 1) (/.f64 (/.f64 1 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 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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 (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (expm1.f64 (log1p.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 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (sqrt.f64 (PI.f64)))) 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) (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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (expm1.f64 (log1p.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 (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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (expm1.f64 (log1p.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 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64))))) 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 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 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.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 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (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 (/.f64 (pow.f64 (exp.f64 x) x) (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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) 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 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) 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 1 (/.f64 (expm1.f64 (log1p.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 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) 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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (exp.f64 x) x) 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 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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 (/.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (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)) (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 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (/.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 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) 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 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) (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 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 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 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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 (pow.f64 (exp.f64 x) x) 1) (/.f64 (/.f64 1 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)) 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) (pow.f64 (PI.f64) 1/4)) (/.f64 (/.f64 1 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))))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 2 (*.f64 x 1/3)))) (pow.f64 (cbrt.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))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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:
| 94.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 1 | x |
Compiled 3062 to 1755 computations (42.7% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (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 (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 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.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)) 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 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1/3)) 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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (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 (/.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 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 (pow.f64 (PI.f64) -1/2) 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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 (PI.f64) -1/2) (/.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 (/.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 (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 (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 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (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 (pow.f64 (PI.f64) -1/2) (/.f64 (pow.f64 (E.f64) (*.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 (PI.f64) -1/2) x) (pow.f64 (exp.f64 (neg.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))))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (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:
| 33.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 1 | x |
Compiled 1151 to 687 computations (40.3% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (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 (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 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.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)) 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 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1/3)) 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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (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 (/.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 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 (pow.f64 (PI.f64) -1/2) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (PI.f64) -1/2) x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))))) |
1 calls:
| 100.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 1 | x |
Compiled 908 to 550 computations (39.4% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (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 (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 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.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)) 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 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1/3)) 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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (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 (/.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 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 (/.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:
| 33.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | x |
Compiled 878 to 533 computations (39.3% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (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 (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 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.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)) 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 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1/3)) 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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.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 (exp.f64 x) x) (*.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 calls:
| 63.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | x |
Compiled 762 to 478 computations (37.3% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (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 (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 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 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 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 (PI.f64) -1/2) (/.f64 (exp.f64 (*.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 1 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.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)) 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 (pow.f64 (PI.f64) -1/2) (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1/3)) 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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 21/8 (pow.f64 x 5)) (+.f64 (/.f64 35/16 x) (+.f64 (/.f64 15/8 (pow.f64 x 7)) (/.f64 35/16 (pow.f64 x 3)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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:
| 27.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.6b | 1 | x |
Compiled 733 to 465 computations (36.6% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (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 (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 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
(*.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 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) (+.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 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))))) |
| 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:
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 44.7b | 1 | x |
Compiled 472 to 303 computations (35.8% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (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 (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 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))) |
| Outputs |
|---|
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 48.2b | 1 | x |
Compiled 369 to 250 computations (32.2% saved)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 48.2b | 1 | x |
Compiled 288 to 199 computations (30.9% saved)
Total -3.9b remaining (-7.3%)
Threshold costs -3.9b (-7.3%)
| Inputs |
|---|
(*.f64 (exp.f64 (*.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 15/8 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 14)))) |
(/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7)) |
(/.f64 15/8 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) |
(+.f64 0 (*.f64 15/8 (/.f64 (pow.f64 x -7) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 225/64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(*.f64 15/8 (sqrt.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 x -14)))) |
(/.f64 1 (/.f64 (pow.f64 x 7) (/.f64 15/8 (sqrt.f64 (PI.f64))))) |
(*.f64 15/8 (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (pow.f64 x 7))) |
(*.f64 -15/8 (/.f64 1 (*.f64 (pow.f64 x 7) (neg.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 15/8 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 7) (sqrt.f64 (PI.f64)))) 1)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 15/8 (sqrt.f64 (PI.f64))) (pow.f64 x 7))) 1) |
(*.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 (pow.f64 (PI.f64) -1/2) (/.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 (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 (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 (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 (exp.f64 (*.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 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 53.0b | 1 | x |
Compiled 277 to 192 computations (30.7% saved)
| 1× | egg-herbie |
| 19× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 464 |
| 1 | 100 | 464 |
| 2 | 102 | 464 |
| 3 | 103 | 464 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.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)))))) x) |
(*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 3/4 (pow.f64 x -2) 1/2)) -1)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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 (PI.f64) -1/2) (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 (pow.f64 (PI.f64) -1/2) 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 (/.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 (pow.f64 (exp.f64 x) x) (*.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 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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 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 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (exp.f64 (*.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))))) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.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)))))) x) |
(/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 (pow.f64 (exp.f64 x) x) (+.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)))))) x) |
(*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (pow.f64 (exp.f64 x) x)) x) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 3/4 (pow.f64 x -2) 1/2)) -1)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) -1/2) x) (pow.f64 (exp.f64 x) (neg.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 (PI.f64) -1/2) (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 (pow.f64 (PI.f64) -1/2) 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 (+.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 (pow.f64 (PI.f64) -1/2) 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 (pow.f64 (exp.f64 x) x) (*.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 (/.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 (PI.f64))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (exp.f64 (*.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 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) (exp.f64 (*.f64 x 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 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (exp.f64 (pow.f64 x 2)) x) (sqrt.f64 (/.f64 1 (PI.f64)))) |
(*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (sqrt.f64 (/.f64 1 (PI.f64))) x)) |
(*.f64 (exp.f64 (*.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 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))) (exp.f64 (*.f64 x x))) |
Compiled 313 to 226 computations (27.8% 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 |
Compiled 4960 to 3291 computations (33.6% saved)
Compiled 302 to 177 computations (41.4% saved)
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