Time bar (total: 2.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 100% | 0% | 3 |
| 12.5% | 62.5% | 25% | 4 |
| 18.7% | 43.7% | 37.5% | 5 |
| 21.9% | 34.4% | 43.8% | 6 |
| 23.4% | 29.7% | 46.9% | 7 |
| 24.2% | 27.3% | 48.5% | 8 |
| 24.6% | 26.2% | 49.2% | 9 |
| 24.8% | 25.6% | 49.6% | 10 |
| 24.9% | 25.3% | 49.8% | 11 |
| 24.9% | 25.1% | 49.9% | 12 |
| 25% | 25.1% | 50% | 13 |
| 25% | 25% | 50% | 14 |
Compiled 11 to 8 computations (27.3% saved)
| 906.0ms | 8256× | body | 128 | valid |
| 827.0ms | 8011× | body | 128 | invalid |
Compiled 22 to 16 computations (27.3% saved)
| 2× | egg-herbie |
| 868× | fma-neg_binary64 |
| 396× | unsub-neg_binary64 |
| 348× | distribute-neg-in_binary64 |
| 330× | fma-def_binary64 |
| 262× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 18 | 12 |
| 2 | 22 | 12 |
| 3 | 37 | 12 |
| 4 | 78 | 12 |
| 5 | 154 | 12 |
| 6 | 360 | 12 |
| 7 | 751 | 12 |
| 8 | 2365 | 12 |
| 9 | 4284 | 12 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 868× | fma-neg_binary64 |
| 396× | unsub-neg_binary64 |
| 348× | distribute-neg-in_binary64 |
| 330× | fma-def_binary64 |
| 262× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 18 | 12 |
| 2 | 22 | 12 |
| 3 | 37 | 12 |
| 4 | 78 | 12 |
| 5 | 154 | 12 |
| 6 | 360 | 12 |
| 7 | 751 | 12 |
| 8 | 2365 | 12 |
| 9 | 4284 | 12 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.5b | (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
Compiled 36 to 24 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (fma.f64 x x -1))) |
| ✓ | 28.4b | (sqrt.f64 (fma.f64 x x -1)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
| 1.0ms | x | @ | inf | (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (fma.f64 x x -1)) |
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
| 1.0ms | x | @ | inf | (sqrt.f64 (fma.f64 x x -1)) |
| 1× | batch-egg-rewrite |
| 722× | pow1_binary64 |
| 671× | add-log-exp_binary64 |
| 671× | log1p-expm1-u_binary64 |
| 671× | expm1-log1p-u_binary64 |
| 72× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 29 |
| 1 | 142 | 29 |
| 2 | 1836 | 29 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 x x -1)) |
(+.f64 x (sqrt.f64 (fma.f64 x x -1))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) |
| 1× | egg-herbie |
| 480× | associate-*l/_binary64 |
| 286× | sub-neg_binary64 |
| 257× | fma-def_binary64 |
| 247× | associate-/l/_binary64 |
| 243× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 680 |
| 1 | 313 | 648 |
| 2 | 902 | 636 |
| 3 | 2994 | 636 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
x |
(-.f64 x (*.f64 1/2 (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) x) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))) |
(log.f64 (sqrt.f64 -1)) |
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))) |
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))) |
| Outputs |
|---|
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) |
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1))) |
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))) |
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1)))) |
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1)))) |
x |
(-.f64 x (*.f64 1/2 (/.f64 1 x))) |
(-.f64 x (/.f64 1/2 x)) |
(+.f64 x (/.f64 -1/2 x)) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 x (-.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 x (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 1/2 x)) |
(-.f64 (/.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 -1/2 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))) |
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 -1/2 x)))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) x) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (+.f64 (sqrt.f64 -1) x)) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (+.f64 x (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))) |
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (+.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x))) |
(*.f64 2 x) |
(*.f64 x 2) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 -1/2 x)) |
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 -1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))) |
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))) |
(-.f64 (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 -1/2 x) (+.f64 (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7))))) |
(+.f64 (/.f64 1/2 x) (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 5/128 (pow.f64 x 7))))) |
(log.f64 (sqrt.f64 -1)) |
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))) |
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))) |
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))) |
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) |
(+.f64 (/.f64 x (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))) |
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))) |
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))) |
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (/.f64 x (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 (log.f64 x) (-.f64 (-.f64 (log.f64 2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2))) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 -1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) |
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 -1/2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (log.f64 -1/2))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2)))) |
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))) |
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 140 | 2 | 142 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 140 | 3 | 143 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.5b | (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
| 0.3b | (+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) | |
| ▶ | 0.3b | (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) |
Compiled 2229 to 1658 computations (25.6% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.5b | (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
| ▶ | 0.3b | (+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
| ✓ | 0.3b | (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) |
Compiled 53 to 40 computations (24.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
| ✓ | 0.2b | (+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
| ✓ | 0.3b | (/.f64 -1/4 (*.f64 x x)) |
| ✓ | 0.3b | (/.f64 -3/32 (pow.f64 x 4)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
| 1.0ms | x | @ | -inf | (+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
| 1.0ms | x | @ | 0 | (+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
| 1.0ms | x | @ | 0 | (/.f64 -3/32 (pow.f64 x 4)) |
| 1.0ms | x | @ | 0 | (/.f64 -1/4 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 176× | add-sqr-sqrt_binary64 |
| 171× | add-log-exp_binary64 |
| 170× | add-exp-log_binary64 |
| 169× | pow1_binary64 |
| 169× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 56 |
| 1 | 353 | 50 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -3/32 (pow.f64 x 4)) |
(/.f64 -1/4 (*.f64 x x)) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -3/32 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/32 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -3/32 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -3/32 (pow.f64 x -4))) (cbrt.f64 (/.f64 9/1024 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 9/1024 (pow.f64 x 8))) (cbrt.f64 (*.f64 -3/32 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -3/32) (*.f64 x x)) (/.f64 (sqrt.f64 -3/32) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/32 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) -3/32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3/32 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -3/32 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -3/32) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/32768 (pow.f64 (pow.f64 x -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -32/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9/1024 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3/32) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -3/32 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -27/32768 (pow.f64 (pow.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -3/32 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -3/32 (pow.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -3/32 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -3/32 (pow.f64 x -4)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/4 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/4) x) (/.f64 (sqrt.f64 -1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/4 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/4) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/64 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/4 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/4 (*.f64 x x)))))))) |
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (*.f64 3/32 (pow.f64 x -4)))) (/.f64 (/.f64 9/1024 (pow.f64 x 8)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (*.f64 3/32 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))) (sqrt.f64 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(*.f64 (pow.f64 x 4) -32/3) (/.f64 -1/4 x))) (*.f64 (*.f64 (pow.f64 x 4) -32/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3/32 x) (*.f64 (neg.f64 (pow.f64 x 4)) (/.f64 -1/4 x))) (*.f64 (neg.f64 (pow.f64 x 4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (*.f64 x x) -4) -3/32)) (*.f64 (*.f64 (*.f64 x x) -4) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 x (neg.f64 x)) -3/32)) (*.f64 (*.f64 x (neg.f64 x)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 -1/4 x) (pow.f64 x 4)) (*.f64 x -3/32)) (*.f64 x (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 x 4) -32/3)) (*.f64 (*.f64 x x) 1)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -32/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) -32/3) (*.f64 (*.f64 (*.f64 x x) -4) 1)) (*.f64 (*.f64 (*.f64 x 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x 4))) (*.f64 x 3/32)) (*.f64 x (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27/32768 (pow.f64 (pow.f64 x -4) 3)) (/.f64 -1/64 (pow.f64 x 6))) (+.f64 (/.f64 9/1024 (pow.f64 x 8)) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (*.f64 -3/32 (pow.f64 x -4)) (/.f64 -1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 9/1024 (pow.f64 x 8)) (/.f64 1/16 (pow.f64 x 4))) (-.f64 (*.f64 -3/32 (pow.f64 x -4)) (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) -3/32)) (*.f64 x x)) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (pow.f64 x -2) (*.f64 -3/32 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -3/32 (pow.f64 x -4)) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/4 (*.f64 x x)) (*.f64 -3/32 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (/.f64 -1/4 (*.f64 x x))) (*.f64 -3/32 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 9/1024 (pow.f64 x 8))) (cbrt.f64 (*.f64 -3/32 (pow.f64 x -4))) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1/4) x) (/.f64 (sqrt.f64 -1/4) x) (*.f64 -3/32 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -3/32) (*.f64 x x)) (/.f64 (sqrt.f64 -3/32) (*.f64 x x)) (/.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3/32 (pow.f64 x -4) (/.f64 -1/4 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 765× | fma-neg_binary64 |
| 437× | sub-neg_binary64 |
| 297× | times-frac_binary64 |
| 219× | associate-/l/_binary64 |
| 217× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 510 |
| 1 | 100 | 478 |
| 2 | 268 | 478 |
| 3 | 790 | 478 |
| 4 | 2787 | 478 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -3/32 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -3/32 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -1/4 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -1/4 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(/.f64 -3/32 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x))) |
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x))) |
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
(/.f64 -3/32 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
(/.f64 -1/4 (pow.f64 x 2)) |
(/.f64 -1/4 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 0 | 158 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 158 | 3 | 161 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.5b | (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) |
| ✓ | 0.3b | (+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))) |
| ✓ | 0.3b | (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) |
Compiled 3888 to 2725 computations (29.9% saved)
Total 0.3b remaining (99.5%)
Threshold costs 0.3b (99.5%)
Compiled 212 to 151 computations (28.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) |
| Outputs |
|---|
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) |
| 1× | done |
Compiled 51 to 38 computations (25.5% saved)
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