Time bar (total: 3.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 33.3% | 25% | 50% | 0% | 0% | 25% | 0% | 3 |
| 60% | 37.5% | 25% | 0% | 0% | 37.5% | 0% | 4 |
| 77.8% | 43.7% | 12.5% | 0% | 0% | 43.7% | 0% | 5 |
| 88.2% | 46.9% | 6.2% | 0% | 0% | 46.9% | 0% | 6 |
| 93.9% | 48.4% | 3.1% | 0% | 0% | 48.4% | 0% | 7 |
| 96.9% | 49.2% | 1.6% | 0% | 0% | 49.2% | 0% | 8 |
| 98.4% | 49.6% | 0.8% | 0% | 0% | 49.6% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0.2% | 49.8% | 0% | 10 |
| 99.6% | 49.7% | 0.2% | 0% | 0.2% | 49.9% | 0% | 11 |
| 99.8% | 49.7% | 0.1% | 0% | 0.2% | 49.9% | 0% | 12 |
Compiled 6 to 4 computations (33.3% saved)
| 856.0ms | 8256× | body | 256 | valid |
| 0.0ms | 7× | body | 256 | invalid |
| 0.0ms | 5× | body | 256 | infinite |
| 2× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 5 | 6 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 x (log.f64 x)) |
| Outputs |
|---|
(*.f64 x (log.f64 x)) |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 5 | 6 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (log.f64 x)) |
| Outputs |
|---|
(*.f64 x (log.f64 x)) |
Compiled 5 to 3 computations (40% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (*.f64 x (log.f64 x)) |
Compiled 5 to 3 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 x (log.f64 x)) |
Compiled 8 to 3 computations (62.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | 0 | (*.f64 x (log.f64 x)) |
| 14.0ms | x | @ | -inf | (*.f64 x (log.f64 x)) |
| 6.0ms | x | @ | inf | (*.f64 x (log.f64 x)) |
| 1× | batch-egg-rewrite |
| 348× | pow1_binary64 |
| 332× | add-sqr-sqrt_binary64 |
| 327× | *-un-lft-identity_binary64 |
| 319× | add-log-exp_binary64 |
| 319× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 76 | 6 |
| 2 | 887 | 6 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (log.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 x (+.f64 x x)))) (log.f64 (cbrt.f64 (pow.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) (+.f64 1 (*.f64 x (log.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) 2))) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2)))))) |
| 1× | egg-herbie |
| 438× | associate-*l*_binary64 |
| 407× | fma-def_binary64 |
| 399× | log-prod_binary64 |
| 386× | associate-*r*_binary64 |
| 371× | distribute-rgt-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 292 |
| 1 | 198 | 283 |
| 2 | 653 | 277 |
| 3 | 4301 | 277 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(+.f64 0 (*.f64 x (log.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x (+.f64 x x)))) (log.f64 (cbrt.f64 (pow.f64 x x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x)))) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) (+.f64 1 (*.f64 x (log.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(pow.f64 (E.f64) (log.f64 (*.f64 x (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) 2))) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(fabs.f64 (*.f64 x (log.f64 x))) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2)) |
| Outputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 0 (*.f64 x (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x (+.f64 x x)))) (log.f64 (cbrt.f64 (pow.f64 x x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x)))) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) (+.f64 1 (*.f64 x (log.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x (log.f64 x))) 3) -1) (fma.f64 (+.f64 1 (*.f64 x (log.f64 x))) (+.f64 1 (*.f64 x (log.f64 x))) (+.f64 1 (+.f64 1 (*.f64 x (log.f64 x)))))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (log.f64 x) 1) 3)) (fma.f64 (fma.f64 x (log.f64 x) 1) (fma.f64 x (log.f64 x) 1) (+.f64 (*.f64 x (log.f64 x)) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (log.f64 x) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (log.f64 x) 1) (fma.f64 x (log.f64 x) 2)))) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(pow.f64 (E.f64) (log.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) 2))) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (pow.f64 x x))) 2))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 x x))))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(fabs.f64 (*.f64 x (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))) 1/3)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
Compiled 353 to 167 computations (52.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 7 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 26 | 8 | 34 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.3b | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
| 33.9b | (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) 2))) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x))))) | |
| ▶ | 1.3b | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
| 33.4b | (pow.f64 (E.f64) (log.f64 (*.f64 x (log.f64 x)))) | |
| ✓ | 0.3b | (*.f64 x (log.f64 x)) |
| ▶ | 0.3b | (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
| ▶ | 60.3b | (log.f64 (pow.f64 x x)) |
| ▶ | 43.8b | (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
Compiled 131 to 91 computations (30.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (/.f64 1 x)) |
| ✓ | 0.3b | (*.f64 (log.f64 (/.f64 1 x)) x) |
Compiled 25 to 18 computations (28% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | (*.f64 (log.f64 (/.f64 1 x)) x) |
| 3.0ms | x | @ | 0 | (*.f64 (log.f64 (/.f64 1 x)) x) |
| 0.0ms | x | @ | inf | (*.f64 (log.f64 (/.f64 1 x)) x) |
| 0.0ms | x | @ | 0 | (log.f64 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (log.f64 (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 504× | pow1_binary64 |
| 483× | add-sqr-sqrt_binary64 |
| 464× | add-log-exp_binary64 |
| 464× | log1p-expm1-u_binary64 |
| 464× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 117 | 13 |
| 2 | 1324 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 (/.f64 1 x)) x) |
(log.f64 (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (log.f64 x) (log.f64 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 x)))))))) |
| 1× | egg-herbie |
| 479× | log-prod_binary64 |
| 394× | fma-def_binary64 |
| 371× | unsub-neg_binary64 |
| 337× | unswap-sqr_binary64 |
| 297× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 432 |
| 1 | 221 | 432 |
| 2 | 895 | 432 |
| 3 | 4805 | 432 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(*.f64 -1 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(-.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) 1) |
(pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 1) |
(pow.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2) |
(neg.f64 (*.f64 x (log.f64 x))) |
(neg.f64 (*.f64 (log.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 2)) |
(log.f64 (pow.f64 (/.f64 1 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
(log1p.f64 (-.f64 (pow.f64 (/.f64 1 x) x) 1)) |
(exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
(+.f64 0 (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (pow.f64 x -1/2))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (/.f64 1 (cbrt.f64 x)))) |
(-.f64 0 (log.f64 x)) |
(-.f64 (+.f64 1 (neg.f64 (log.f64 x))) 1) |
(-.f64 (log.f64 -1) (log.f64 (neg.f64 x))) |
(*.f64 1 (neg.f64 (log.f64 x))) |
(*.f64 (neg.f64 (log.f64 x)) 1) |
(*.f64 (log.f64 x) -1) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x)))) |
(*.f64 -1 (log.f64 x)) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x))))) |
(/.f64 (-.f64 0 (*.f64 (log.f64 x) (log.f64 x))) (log.f64 x)) |
(pow.f64 (neg.f64 (log.f64 x)) 1) |
(pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2) |
(neg.f64 (log.f64 x)) |
(sqrt.f64 (*.f64 (log.f64 x) (log.f64 x))) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) |
(log1p.f64 (-.f64 (/.f64 1 x) 1)) |
(exp.f64 (log.f64 (neg.f64 (log.f64 x)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(-.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) 1) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 1) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(pow.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3) 1/3) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 3) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(neg.f64 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(neg.f64 (*.f64 (log.f64 x) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 2)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(log.f64 (pow.f64 (/.f64 1 x) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(log1p.f64 (-.f64 (pow.f64 (/.f64 1 x) x) 1)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(+.f64 0 (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (pow.f64 x -1/2))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(-.f64 0 (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(-.f64 (+.f64 1 (neg.f64 (log.f64 x))) 1) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 -1) (log.f64 (neg.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 1 (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (neg.f64 (log.f64 x)) 1) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) -1) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x))))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(/.f64 (-.f64 0 (*.f64 (log.f64 x) (log.f64 x))) (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(pow.f64 (neg.f64 (log.f64 x)) 1) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) 1/3) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(sqrt.f64 (*.f64 (log.f64 x) (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(log1p.f64 (-.f64 (/.f64 1 x) 1)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(exp.f64 (log.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.9b | (log.f64 (pow.f64 x x)) |
Compiled 9 to 3 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | -inf | (log.f64 (pow.f64 x x)) |
| 13.0ms | x | @ | inf | (log.f64 (pow.f64 x x)) |
| 1.0ms | x | @ | 0 | (log.f64 (pow.f64 x x)) |
| 1× | batch-egg-rewrite |
| 379× | pow1_binary64 |
| 365× | add-sqr-sqrt_binary64 |
| 358× | *-un-lft-identity_binary64 |
| 351× | add-log-exp_binary64 |
| 351× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 82 | 6 |
| 2 | 977 | 6 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (pow.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 x) x) 2)) (log.f64 (pow.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) x)) (log.f64 (pow.f64 (pow.f64 (cbrt.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 1 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (sqrt.f64 x) x)) (log.f64 (pow.f64 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (log.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (log.f64 (pow.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (pow.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (pow.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log.f64 (pow.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (*.f64 x 1/2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 1/2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) 1/3) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
| 1× | egg-herbie |
| 878× | fma-def_binary64 |
| 504× | log-prod_binary64 |
| 329× | distribute-rgt-out_binary64 |
| 298× | distribute-rgt-in_binary64 |
| 292× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 414 |
| 1 | 380 | 409 |
| 2 | 1270 | 398 |
| 3 | 5401 | 396 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 x) x) |
(+.f64 (*.f64 (log.f64 x) x) (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (*.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 x) x) (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (*.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -6 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 12 (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log.f64 x) 4) (*.f64 -4 (pow.f64 (log.f64 x) 4)))))) (pow.f64 x 4)))))) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 x) x) 2)) (log.f64 (pow.f64 (cbrt.f64 x) x))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x)))) |
(+.f64 0 (*.f64 x (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) x)) (log.f64 (pow.f64 (pow.f64 (cbrt.f64 x) x) 2))) |
(+.f64 (log.f64 (pow.f64 1 x)) (*.f64 x (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 (sqrt.f64 x) x)) (log.f64 (pow.f64 (sqrt.f64 x) x))) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) x) |
(*.f64 (cbrt.f64 x) (log.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(*.f64 (sqrt.f64 x) (log.f64 (pow.f64 x (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 x x)))) |
(*.f64 (*.f64 x 1/2) (*.f64 2 (log.f64 x))) |
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 x) x))) |
(*.f64 1/3 (log.f64 (pow.f64 x (*.f64 x 3)))) |
(*.f64 (fma.f64 x 1/2 (*.f64 x 1/2)) (log.f64 x)) |
(*.f64 (*.f64 2 (*.f64 x 1/2)) (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) 1/3) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
| Outputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(+.f64 (*.f64 (log.f64 x) x) (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))) |
(*.f64 x (log.f64 x)) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (*.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 x) x) (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))) |
(*.f64 x (log.f64 x)) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (*.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -6 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 12 (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log.f64 x) 4) (*.f64 -4 (pow.f64 (log.f64 x) 4)))))) (pow.f64 x 4)))))) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 x) x) 2)) (log.f64 (pow.f64 (cbrt.f64 x) x))) |
(*.f64 x (log.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x)))) |
(*.f64 x (log.f64 x)) |
(+.f64 0 (*.f64 x (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) x)) (log.f64 (pow.f64 (pow.f64 (cbrt.f64 x) x) 2))) |
(*.f64 x (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 1 x)) (*.f64 x (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (sqrt.f64 x) x)) (log.f64 (pow.f64 (sqrt.f64 x) x))) |
(*.f64 x (log.f64 x)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 x) (log.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 x) (log.f64 (pow.f64 x (sqrt.f64 x)))) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 x x)))) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x 1/2) (*.f64 2 (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 x) x))) |
(*.f64 x (log.f64 x)) |
(*.f64 1/3 (log.f64 (pow.f64 x (*.f64 x 3)))) |
(*.f64 1/3 (*.f64 (*.f64 x 3) (log.f64 x))) |
(*.f64 (*.f64 1/3 (*.f64 x 3)) (log.f64 x)) |
(*.f64 (log.f64 x) (*.f64 1/3 (*.f64 x 3))) |
(*.f64 (fma.f64 x 1/2 (*.f64 x 1/2)) (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 2 (*.f64 x 1/2)) (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3)) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) 1/3) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 5)) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(*.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (*.f64 x (log.f64 x)) 3) |
| 0.3b | (*.f64 x (log.f64 x)) | |
| ✓ | 42.1b | (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
Compiled 22 to 9 computations (59.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
| 1.0ms | x | @ | -inf | (pow.f64 (*.f64 x (log.f64 x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (*.f64 x (log.f64 x)) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (*.f64 x (log.f64 x)) 3) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
| 1× | batch-egg-rewrite |
| 531× | pow1_binary64 |
| 517× | add-sqr-sqrt_binary64 |
| 500× | add-log-exp_binary64 |
| 500× | log1p-expm1-u_binary64 |
| 500× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 147 | 15 |
| 2 | 1469 | 15 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (log.f64 x) (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) (pow.f64 (*.f64 x (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 3) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x))))))))) |
| 1× | egg-herbie |
| 665× | unswap-sqr_binary64 |
| 538× | exp-prod_binary64 |
| 521× | cube-prod_binary64 |
| 458× | fabs-mul_binary64 |
| 437× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 694 |
| 1 | 301 | 686 |
| 2 | 1093 | 686 |
| 3 | 4977 | 686 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) |
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) |
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) |
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(-.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1) |
(*.f64 x (*.f64 (log.f64 x) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(*.f64 (log.f64 x) (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(*.f64 (*.f64 x (log.f64 x)) (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1) |
(*.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) (pow.f64 (*.f64 x (log.f64 x)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 3) (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (*.f64 x (log.f64 x))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 6)) |
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) |
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) |
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x))))) |
| Outputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(*.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (cbrt.f64 -1))) |
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(*.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(*.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (cbrt.f64 -1))) |
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(*.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(*.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (cbrt.f64 -1))) |
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(*.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(*.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (cbrt.f64 -1))) |
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(*.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -1)))) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) |
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) |
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) |
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) |
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) |
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3)) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(*.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(-.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 x (*.f64 (log.f64 x) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (log.f64 x) (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (*.f64 x (log.f64 x)) (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) (pow.f64 (*.f64 x (log.f64 x)) 3/2)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 3) (*.f64 x (log.f64 x))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (*.f64 x (log.f64 x))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 6)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3)) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (*.f64 x (log.f64 x)) 3) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 x (log.f64 x)) | |
| ✓ | 0.5b | (cbrt.f64 (*.f64 x (log.f64 x))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
Compiled 21 to 7 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | -inf | (cbrt.f64 (*.f64 x (log.f64 x))) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
| 0.0ms | x | @ | inf | (cbrt.f64 (*.f64 x (log.f64 x))) |
| 1× | batch-egg-rewrite |
| 524× | pow1_binary64 |
| 510× | add-sqr-sqrt_binary64 |
| 493× | add-log-exp_binary64 |
| 493× | log1p-expm1-u_binary64 |
| 493× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 145 | 14 |
| 2 | 1410 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))))) |
| 1× | egg-herbie |
| 606× | distribute-rgt-in_binary64 |
| 593× | unswap-sqr_binary64 |
| 587× | fma-def_binary64 |
| 575× | distribute-lft-in_binary64 |
| 509× | log-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 685 |
| 1 | 229 | 547 |
| 2 | 670 | 409 |
| 3 | 3033 | 401 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1) |
(*.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3)) |
(pow.f64 (*.f64 x (log.f64 x)) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 x (log.f64 x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(log.f64 (pow.f64 x x)) |
(*.f64 (log.f64 x) x) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (cbrt.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (cbrt.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(*.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3)) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 x x)))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 x x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 x x))) 1/6) 4) |
(pow.f64 (*.f64 x (log.f64 x)) 1/3) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (log.f64 (pow.f64 x x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (*.f64 x (log.f64 x))) |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
| 0.3b | (*.f64 x (log.f64 x)) |
Compiled 21 to 7 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (*.f64 x (log.f64 x))) |
| 1.0ms | x | @ | inf | (sqrt.f64 (*.f64 x (log.f64 x))) |
| 1× | batch-egg-rewrite |
| 499× | pow1_binary64 |
| 480× | add-sqr-sqrt_binary64 |
| 462× | add-log-exp_binary64 |
| 462× | log1p-expm1-u_binary64 |
| 462× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 142 | 14 |
| 2 | 1332 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))))) |
| 1× | egg-herbie |
| 564× | distribute-rgt-in_binary64 |
| 540× | distribute-lft-in_binary64 |
| 485× | fma-def_binary64 |
| 437× | associate-+l+_binary64 |
| 425× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 649 |
| 1 | 216 | 514 |
| 2 | 729 | 379 |
| 3 | 2907 | 379 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2)) |
(pow.f64 (*.f64 x (log.f64 x)) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 (log.f64 x) x) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(*.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(pow.f64 (*.f64 x (log.f64 x)) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)) |
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0) |
(sqrt.f64 (*.f64 x (log.f64 x))) |
Compiled 4535 to 2042 computations (55% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 379 | 12 | 391 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 382 | 17 | 399 |
| Status | Error | Program |
|---|---|---|
| 31.0b | (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) 2) | |
| 1.5b | (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3) | |
| ✓ | 30.3b | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
| ✓ | 1.3b | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
| 1.3b | (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) | |
| 0.6b | (*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) | |
| 30.3b | (*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) | |
| ▶ | 0.5b | (*.f64 (*.f64 1/3 (*.f64 x 3)) (log.f64 x)) |
| ✓ | 0.3b | (*.f64 x (log.f64 x)) |
| ▶ | 0.5b | (*.f64 1/3 (*.f64 (*.f64 x 3) (log.f64 x))) |
| ▶ | 1.3b | (*.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x)) |
| ✓ | 0.3b | (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
| ▶ | 34.5b | (*.f64 -1 (*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x)) |
| 34.5b | (*.f64 -1 (*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x)) | |
| 0.6b | (*.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x)) | |
| ▶ | 36.6b | (*.f64 -1 (exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x)))))) |
| ✓ | 60.3b | (log.f64 (pow.f64 x x)) |
Compiled 277 to 203 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (*.f64 1/3 (*.f64 x 3)) (log.f64 x)) |
| ✓ | 0.4b | (*.f64 1/3 (*.f64 x 3)) |
Compiled 22 to 15 computations (31.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 1/3 (*.f64 x 3)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 1/3 (*.f64 x 3)) (log.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 1/3 (*.f64 x 3)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 1/3 (*.f64 x 3)) (log.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 1/3 (*.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 641× | pow1_binary64 |
| 594× | add-log-exp_binary64 |
| 594× | log1p-expm1-u_binary64 |
| 594× | expm1-log1p-u_binary64 |
| 584× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 162 | 7 |
| 2 | 1894 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 x 3)) |
(*.f64 (*.f64 1/3 (*.f64 x 3)) (log.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
| 1× | egg-herbie |
| 541× | fma-def_binary64 |
| 345× | log-prod_binary64 |
| 326× | associate-+r+_binary64 |
| 326× | associate-+l+_binary64 |
| 298× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 209 |
| 1 | 166 | 209 |
| 2 | 672 | 209 |
| 3 | 2909 | 209 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(+.f64 1 (-.f64 x 1)) |
(-.f64 (+.f64 1 x) 1) |
(pow.f64 x 1) |
(pow.f64 (pow.f64 x 3) 1/3) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (sqrt.f64 x) 2) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(pow.f64 (exp.f64 1) (log.f64 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(sqrt.f64 (*.f64 x x)) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(exp.f64 (log.f64 x)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(+.f64 1 (-.f64 x 1)) |
x |
(-.f64 (+.f64 1 x) 1) |
x |
(pow.f64 x 1) |
x |
(pow.f64 (pow.f64 x 3) 1/3) |
x |
(pow.f64 (cbrt.f64 x) 3) |
x |
(pow.f64 (sqrt.f64 x) 2) |
x |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(pow.f64 (exp.f64 1) (log.f64 x)) |
x |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(sqrt.f64 (*.f64 x x)) |
x |
(log.f64 (exp.f64 x)) |
x |
(cbrt.f64 (pow.f64 x 3)) |
x |
(expm1.f64 (log1p.f64 x)) |
x |
(log1p.f64 (expm1.f64 x)) |
x |
(exp.f64 (log.f64 x)) |
x |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(*.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (*.f64 x 3) (log.f64 x)) |
| ✓ | 0.4b | (*.f64 1/3 (*.f64 (*.f64 x 3) (log.f64 x))) |
Compiled 23 to 14 computations (39.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) (log.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x 3) (log.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x 3) (log.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 1/3 (*.f64 (*.f64 x 3) (log.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 1/3 (*.f64 (*.f64 x 3) (log.f64 x))) |
| 1× | batch-egg-rewrite |
| 713× | pow1_binary64 |
| 659× | add-log-exp_binary64 |
| 659× | log1p-expm1-u_binary64 |
| 659× | expm1-log1p-u_binary64 |
| 648× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 162 | 15 |
| 2 | 1845 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (*.f64 x 3) (log.f64 x))) |
(*.f64 (*.f64 x 3) (log.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (*.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 (log.f64 x))))))))) |
| 1× | egg-herbie |
| 805× | log-prod_binary64 |
| 574× | fma-neg_binary64 |
| 551× | fma-def_binary64 |
| 415× | associate-+l+_binary64 |
| 379× | associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 366 |
| 1 | 184 | 366 |
| 2 | 717 | 366 |
| 3 | 2488 | 366 |
| 4 | 7135 | 366 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (log.f64 x))) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x)))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 3 (log.f64 x)))) 1) |
(pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 1) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 (log.f64 x)))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 (log.f64 x)))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 2)) |
(log.f64 (pow.f64 x (*.f64 x 3))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (log.f64 x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (*.f64 x 3) 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 (log.f64 x))))) |
(log1p.f64 (-.f64 (pow.f64 x (*.f64 x 3)) 1)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 (log.f64 x))))) |
| Outputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(*.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 (exp.f64 x) (log.f64 x))) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 3 (log.f64 x)))) 1) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 1) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 3) 1/3) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 (log.f64 x)))) 3) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 (log.f64 x)))) 2) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 2)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(log.f64 (pow.f64 x (*.f64 x 3))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 (log.f64 x))) 3)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (log.f64 x) 3))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (*.f64 x 3) 3))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 (log.f64 x))))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
(log1p.f64 (-.f64 (pow.f64 x (*.f64 x 3)) 1)) |
(log1p.f64 (+.f64 (pow.f64 x (*.f64 x 3)) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x (*.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 (log.f64 x))))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 (log.f64 x) (*.f64 x 3)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 x (neg.f64 (log.f64 x))) |
| ✓ | 2.6b | (exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
Compiled 35 to 9 computations (74.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | (exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
| 0.0ms | x | @ | inf | (exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
| 0.0ms | x | @ | 0 | (*.f64 x (neg.f64 (log.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 x (neg.f64 (log.f64 x))) |
| 1× | batch-egg-rewrite |
| 469× | pow1_binary64 |
| 448× | add-sqr-sqrt_binary64 |
| 442× | *-un-lft-identity_binary64 |
| 432× | add-log-exp_binary64 |
| 431× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 128 | 12 |
| 2 | 1512 | 12 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
(*.f64 x (neg.f64 (log.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
| 1× | egg-herbie |
| 649× | exp-sum_binary64 |
| 523× | log-prod_binary64 |
| 447× | fma-def_binary64 |
| 400× | distribute-rgt-in_binary64 |
| 379× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 748 |
| 1 | 197 | 710 |
| 2 | 562 | 596 |
| 3 | 2046 | 596 |
| 4 | 6555 | 596 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(-.f64 0 (*.f64 x (log.f64 x))) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (neg.f64 x) (log.f64 x)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(*.f64 (*.f64 x -1) (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (log.f64 x)))) |
(neg.f64 (*.f64 x (log.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(-.f64 0 (*.f64 x (log.f64 x))) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (log.f64 x)))) |
(neg.f64 (*.f64 x (log.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(-.f64 0 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 (log.f64 x) x) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x -1) (log.f64 x)) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(neg.f64 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(-.f64 0 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(neg.f64 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (fma.f64 x (log.f64 x) -1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (neg.f64 (log.f64 x))) |
| ✓ | 0.1b | (*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x) |
| ✓ | 0.5b | (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) |
Compiled 33 to 9 computations (72.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | x | @ | -inf | (log1p.f64 (neg.f64 (log.f64 x))) |
| 14.0ms | x | @ | inf | (log1p.f64 (neg.f64 (log.f64 x))) |
| 13.0ms | x | @ | 0 | (log1p.f64 (neg.f64 (log.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x) |
| 0.0ms | x | @ | 0 | (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) |
| 1× | batch-egg-rewrite |
| 464× | pow1_binary64 |
| 444× | add-sqr-sqrt_binary64 |
| 438× | *-un-lft-identity_binary64 |
| 427× | add-log-exp_binary64 |
| 427× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 122 | 14 |
| 2 | 1467 | 14 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x) |
(log1p.f64 (neg.f64 (log.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 x) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 1)) 1) (+.f64 (+.f64 (log.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) 2) (cbrt.f64 (log1p.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (log.f64 x))) (sqrt.f64 (log1p.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (log.f64 x)))))))) |
| 1× | egg-herbie |
| 830× | fma-def_binary64 |
| 474× | unswap-sqr_binary64 |
| 426× | distribute-rgt-in_binary64 |
| 376× | distribute-lft-in_binary64 |
| 280× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 836 |
| 1 | 328 | 685 |
| 2 | 1460 | 628 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(log.f64 (/.f64 1 x)) |
(log.f64 (/.f64 1 x)) |
(log.f64 (/.f64 1 x)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (+.f64 (log.f64 x) 1) -1) |
(+.f64 0 (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (log.f64 x) 1) 1) |
(-.f64 0 (log.f64 x)) |
(*.f64 (log.f64 x) 1) |
(*.f64 (log.f64 x) -1) |
(*.f64 1 (log.f64 x)) |
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))) |
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x)))) |
(*.f64 -1 (log.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 x) 1) 1)))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 1)) 1) (+.f64 (+.f64 (log.f64 x) 1) 1)) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x)) |
(pow.f64 (log.f64 x) 1) |
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3) |
(pow.f64 (cbrt.f64 (log.f64 x)) 3) |
(pow.f64 (sqrt.f64 (log.f64 x)) 2) |
(neg.f64 (log.f64 x)) |
(sqrt.f64 (pow.f64 (log.f64 x) 2)) |
(log.f64 x) |
(cbrt.f64 (pow.f64 (log.f64 x) 3)) |
(log1p.f64 (-.f64 x 1)) |
(exp.f64 (log.f64 (log.f64 x))) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(neg.f64 (*.f64 x (log.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(-.f64 (+.f64 1 (log1p.f64 (log.f64 x))) 1) |
(*.f64 (log1p.f64 (log.f64 x)) 1) |
(*.f64 1 (log1p.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) 2) (cbrt.f64 (log1p.f64 (log.f64 x)))) |
(*.f64 (sqrt.f64 (log1p.f64 (log.f64 x))) (sqrt.f64 (log1p.f64 (log.f64 x)))) |
(pow.f64 (log1p.f64 (log.f64 x)) 1) |
(pow.f64 (pow.f64 (log1p.f64 (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (log1p.f64 (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (log1p.f64 (log.f64 x)) 2)) |
(log.f64 (+.f64 (log.f64 x) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (log.f64 x)))) |
(exp.f64 (log.f64 (log1p.f64 (log.f64 x)))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(neg.f64 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(neg.f64 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(neg.f64 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) |
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) |
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) |
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) |
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log1p.f64 (neg.f64 (log.f64 x))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log1p.f64 (neg.f64 (log.f64 x))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log1p.f64 (neg.f64 (log.f64 x))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log1p.f64 (neg.f64 (log.f64 x))) |
(log.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log1p.f64 (neg.f64 (log.f64 x))) |
(log.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log1p.f64 (neg.f64 (log.f64 x))) |
(log.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log1p.f64 (neg.f64 (log.f64 x))) |
(log.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (-.f64 1 (log.f64 x))) |
(log1p.f64 (neg.f64 (log.f64 x))) |
(log.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(log1p.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(log1p.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(log.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(log1p.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(log1p.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(log.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(log1p.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(log1p.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(log.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(log1p.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(log1p.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(+.f64 (+.f64 (log.f64 x) 1) -1) |
(log.f64 x) |
(+.f64 0 (log.f64 x)) |
(log.f64 x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))) |
(*.f64 3 (log.f64 (cbrt.f64 x))) |
(*.f64 (log.f64 (cbrt.f64 x)) 3) |
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) |
(*.f64 2 (log.f64 (sqrt.f64 x))) |
(-.f64 (+.f64 (log.f64 x) 1) 1) |
(log.f64 x) |
(-.f64 0 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 (log.f64 x) 1) |
(log.f64 x) |
(*.f64 (log.f64 x) -1) |
(neg.f64 (log.f64 x)) |
(*.f64 1 (log.f64 x)) |
(log.f64 x) |
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(log.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x))) |
(log.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x)))) |
(neg.f64 (log.f64 x)) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))) |
(log.f64 x) |
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x)))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 x) 1) 1)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 x) 1) 3) -1) (fma.f64 (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 x) 1) 3)) (fma.f64 (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 x) 1) 3)) (+.f64 1 (*.f64 (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 2)))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x))))) |
(neg.f64 (log.f64 x)) |
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 x) 1) (+.f64 (log.f64 x) 1)) 1) (+.f64 (+.f64 (log.f64 x) 1) 1)) |
(log.f64 x) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(pow.f64 (log.f64 x) 1) |
(log.f64 x) |
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3) |
(log.f64 x) |
(pow.f64 (cbrt.f64 (log.f64 x)) 3) |
(log.f64 x) |
(pow.f64 (sqrt.f64 (log.f64 x)) 2) |
(log.f64 x) |
(neg.f64 (log.f64 x)) |
(sqrt.f64 (pow.f64 (log.f64 x) 2)) |
(log.f64 x) |
(log.f64 x) |
(cbrt.f64 (pow.f64 (log.f64 x) 3)) |
(log.f64 x) |
(log1p.f64 (-.f64 x 1)) |
(log1p.f64 (+.f64 x -1)) |
(log1p.f64 (+.f64 -1 x)) |
(exp.f64 (log.f64 (log.f64 x))) |
(log.f64 x) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(neg.f64 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(-.f64 (+.f64 1 (log1p.f64 (log.f64 x))) 1) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(*.f64 (log1p.f64 (log.f64 x)) 1) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(*.f64 1 (log1p.f64 (log.f64 x))) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(*.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) 2)) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) 2) (cbrt.f64 (log1p.f64 (log.f64 x)))) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(*.f64 (sqrt.f64 (log1p.f64 (log.f64 x))) (sqrt.f64 (log1p.f64 (log.f64 x)))) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(pow.f64 (log1p.f64 (log.f64 x)) 1) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(pow.f64 (pow.f64 (log1p.f64 (log.f64 x)) 3) 1/3) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(pow.f64 (cbrt.f64 (log1p.f64 (log.f64 x))) 3) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(pow.f64 (sqrt.f64 (log1p.f64 (log.f64 x))) 2) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(sqrt.f64 (pow.f64 (log1p.f64 (log.f64 x)) 2)) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(log.f64 (+.f64 (log.f64 x) 1)) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(cbrt.f64 (pow.f64 (log1p.f64 (log.f64 x)) 3)) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(expm1.f64 (log1p.f64 (log1p.f64 (log.f64 x)))) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
(exp.f64 (log.f64 (log1p.f64 (log.f64 x)))) |
(+.f64 1 (-.f64 (log1p.f64 (log.f64 x)) 1)) |
(log1p.f64 (log.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x) |
| ✓ | 0.6b | (cbrt.f64 (neg.f64 (log.f64 x))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) |
Compiled 37 to 16 computations (56.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) |
| 3.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) |
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x) |
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x) |
| 1× | batch-egg-rewrite |
| 557× | pow1_binary64 |
| 525× | add-log-exp_binary64 |
| 524× | log1p-expm1-u_binary64 |
| 524× | expm1-log1p-u_binary64 |
| 513× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 170 | 14 |
| 2 | 1774 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) |
(cbrt.f64 (neg.f64 (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 1/6) (*.f64 (pow.f64 (log.f64 x) 1/6) (cbrt.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) 3) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 x) 1/6) 3) (pow.f64 (pow.f64 (log.f64 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (log.f64 x) 1/6)) (pow.f64 (log.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/3) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
| 1× | egg-herbie |
| 471× | unswap-sqr_binary64 |
| 422× | fma-neg_binary64 |
| 352× | cancel-sign-sub-inv_binary64 |
| 341× | log-prod_binary64 |
| 269× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 1001 |
| 1 | 358 | 911 |
| 2 | 1351 | 842 |
| 3 | 4717 | 837 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 -1) 6))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 -1) 6))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 -1) 6))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 -1) 6))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) (cbrt.f64 -1)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(+.f64 0 (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) |
(-.f64 0 (log.f64 x)) |
(-.f64 (+.f64 1 (log.f64 x)) 1) |
(*.f64 (log.f64 x) 1) |
(*.f64 (log.f64 x) -1) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) |
(*.f64 1 (log.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))) |
(*.f64 (pow.f64 (log.f64 x) 1/6) (*.f64 (pow.f64 (log.f64 x) 1/6) (cbrt.f64 (pow.f64 (log.f64 x) 2)))) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))) |
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x)))) |
(*.f64 -1 (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) 3) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 1/6) 3) (pow.f64 (pow.f64 (log.f64 x) 1/6) 3)) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (log.f64 x) 1/6)) (pow.f64 (log.f64 x) 1/6)) |
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x))))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(sqrt.f64 (pow.f64 (log.f64 x) 2)) |
(log.f64 x) |
(cbrt.f64 (pow.f64 (log.f64 x) 3)) |
(expm1.f64 (log1p.f64 (log.f64 x))) |
(log1p.f64 (-.f64 x 1)) |
(exp.f64 (log.f64 (log.f64 x))) |
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 x))) 1) |
(*.f64 (cbrt.f64 (log.f64 x)) 1) |
(*.f64 1 (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1/3)) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6)) |
(*.f64 -1 (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3)) |
(*.f64 (pow.f64 -1 1/3) (cbrt.f64 (log.f64 x))) |
(pow.f64 (log.f64 x) 1/3) |
(pow.f64 (cbrt.f64 (log.f64 x)) 1) |
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) |
(pow.f64 (pow.f64 (log.f64 x) 1/6) 2) |
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) |
(log.f64 (exp.f64 (cbrt.f64 (log.f64 x)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x)))) |
(exp.f64 (log.f64 (cbrt.f64 (log.f64 x)))) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(neg.f64 (*.f64 x (log.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 -1) 6))) |
(neg.f64 (log.f64 x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 -1) 6))) |
(neg.f64 (log.f64 x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 -1) 6))) |
(neg.f64 (log.f64 x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 -1) 6))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (log.f64 x)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (pow.f64 (cbrt.f64 -1) 2)) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(+.f64 0 (log.f64 x)) |
(log.f64 x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))) |
(*.f64 3 (log.f64 (cbrt.f64 x))) |
(*.f64 (log.f64 (cbrt.f64 x)) 3) |
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) |
(*.f64 2 (log.f64 (sqrt.f64 x))) |
(-.f64 0 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(-.f64 (+.f64 1 (log.f64 x)) 1) |
(log.f64 x) |
(*.f64 (log.f64 x) 1) |
(log.f64 x) |
(*.f64 (log.f64 x) -1) |
(neg.f64 (log.f64 x)) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) |
(*.f64 1 (log.f64 x)) |
(log.f64 x) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (cbrt.f64 (log.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) 4)) |
(*.f64 (pow.f64 (log.f64 x) 1/6) (*.f64 (pow.f64 (log.f64 x) 1/6) (cbrt.f64 (pow.f64 (log.f64 x) 2)))) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))) |
(log.f64 x) |
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x)))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) 3) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 1/6) 3) (pow.f64 (pow.f64 (log.f64 x) 1/6) 3)) |
(log.f64 x) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) 4)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (log.f64 x) 1/6)) (pow.f64 (log.f64 x) 1/6)) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2))) |
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x))))) |
(neg.f64 (log.f64 x)) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(sqrt.f64 (pow.f64 (log.f64 x) 2)) |
(log.f64 x) |
(log.f64 x) |
(cbrt.f64 (pow.f64 (log.f64 x) 3)) |
(log.f64 x) |
(expm1.f64 (log1p.f64 (log.f64 x))) |
(log.f64 x) |
(log1p.f64 (-.f64 x 1)) |
(log1p.f64 (+.f64 x -1)) |
(log1p.f64 (+.f64 -1 x)) |
(exp.f64 (log.f64 (log.f64 x))) |
(log.f64 x) |
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 x))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (cbrt.f64 (log.f64 x)) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(*.f64 1 (cbrt.f64 (log.f64 x))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1/3)) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6)) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(*.f64 -1 (cbrt.f64 (log.f64 x))) |
(neg.f64 (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (log.f64 x)))) |
(pow.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/6) 4) |
(*.f64 (pow.f64 -1 1/3) (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(pow.f64 (log.f64 x) 1/3) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (cbrt.f64 (log.f64 x)) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (pow.f64 (log.f64 x) 1/6) 2) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) |
(log.f64 (exp.f64 (cbrt.f64 (log.f64 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(exp.f64 (log.f64 (cbrt.f64 (log.f64 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 x)) 1)) |
(+.f64 (cbrt.f64 (log.f64 x)) 0) |
(cbrt.f64 (log.f64 x)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(neg.f64 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
Compiled 3249 to 1902 computations (41.5% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 304 | 5 | 309 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 306 | 20 | 326 |
| Status | Error | Program |
|---|---|---|
| 31.0b | (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) 2) | |
| ▶ | 1.5b | (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3) |
| ✓ | 30.3b | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
| ✓ | 1.3b | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
| ▶ | 0.6b | (*.f64 (pow.f64 (sqrt.f64 x) 2) (log.f64 x)) |
| 1.3b | (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) | |
| 1.3b | (*.f64 (pow.f64 (cbrt.f64 x) 3) (log.f64 x)) | |
| 0.6b | (*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) | |
| 30.3b | (*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) | |
| ✓ | 0.5b | (*.f64 (*.f64 1/3 (*.f64 x 3)) (log.f64 x)) |
| ✓ | 0.3b | (*.f64 x (log.f64 x)) |
| 1.4b | (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 (log.f64 x)))) 3)) | |
| ✓ | 0.5b | (*.f64 1/3 (*.f64 (*.f64 x 3) (log.f64 x))) |
| ▶ | 0.5b | (*.f64 1/3 (*.f64 x (*.f64 (log.f64 x) 3))) |
| ▶ | 0.5b | (*.f64 1/3 (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x))) |
| ✓ | 1.3b | (*.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x)) |
| ✓ | 0.3b | (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
| ✓ | 34.5b | (*.f64 -1 (*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x)) |
| ▶ | 34.5b | (*.f64 -1 (*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x)) |
| ✓ | 60.3b | (log.f64 (pow.f64 x x)) |
Compiled 292 to 214 computations (26.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log.f64 (/.f64 1 x)) | |
| 0.3b | (*.f64 (log.f64 (/.f64 1 x)) x) | |
| ✓ | 0.3b | (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
| ✓ | 0.4b | (*.f64 1/3 (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x))) |
Compiled 36 to 27 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 1/3 (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x))) |
| 0.0ms | x | @ | -inf | (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
| 0.0ms | x | @ | inf | (*.f64 1/3 (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x))) |
| 0.0ms | x | @ | inf | (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
| 0.0ms | x | @ | 0 | (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
| 1× | batch-egg-rewrite |
| 788× | pow1_binary64 |
| 731× | add-log-exp_binary64 |
| 731× | log1p-expm1-u_binary64 |
| 731× | expm1-log1p-u_binary64 |
| 719× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 22 |
| 1 | 203 | 19 |
| 2 | 2285 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x))) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (/.f64 1 x) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 1 x) x) -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))))))))) |
| 1× | egg-herbie |
| 650× | fma-def_binary64 |
| 591× | log-prod_binary64 |
| 345× | fma-neg_binary64 |
| 323× | unsub-neg_binary64 |
| 281× | distribute-rgt-neg-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 535 |
| 1 | 209 | 493 |
| 2 | 868 | 451 |
| 3 | 3707 | 451 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 -3 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 -3 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 -3 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 -3 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(-.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) 1) |
(pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 1) |
(pow.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2) |
(neg.f64 (*.f64 x (neg.f64 (log.f64 x)))) |
(neg.f64 (*.f64 x (log.f64 x))) |
(neg.f64 (*.f64 (log.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 2)) |
(log.f64 (pow.f64 (/.f64 1 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
(log1p.f64 (-.f64 (pow.f64 (/.f64 1 x) x) 1)) |
(exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
(-.f64 (+.f64 1 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))) 1) |
(pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 1) |
(pow.f64 (pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 2)) |
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) x) -3)) |
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))))) |
(log1p.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 1 x) x) -3) 1)) |
(exp.f64 (log.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))))) |
| Outputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(neg.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 x (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 (-.f64 (*.f64 2 (log.f64 -1)) (log.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(neg.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 x (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 (-.f64 (*.f64 2 (log.f64 -1)) (log.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(neg.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 x (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 (-.f64 (*.f64 2 (log.f64 -1)) (log.f64 x)) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(neg.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 x (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(*.f64 (-.f64 (*.f64 2 (log.f64 -1)) (log.f64 x)) (neg.f64 x)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 -3 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) -3) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x -3)) |
(*.f64 x (*.f64 (-.f64 (*.f64 2 (log.f64 -1)) (log.f64 x)) -3)) |
(*.f64 -3 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) -3) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x -3)) |
(*.f64 x (*.f64 (-.f64 (*.f64 2 (log.f64 -1)) (log.f64 x)) -3)) |
(*.f64 -3 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) -3) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x -3)) |
(*.f64 x (*.f64 (-.f64 (*.f64 2 (log.f64 -1)) (log.f64 x)) -3)) |
(*.f64 -3 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)) |
(*.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) -3) |
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x -3)) |
(*.f64 x (*.f64 (-.f64 (*.f64 2 (log.f64 -1)) (log.f64 x)) -3)) |
(-.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) 1) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 1) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 3) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(neg.f64 (*.f64 x (neg.f64 (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(neg.f64 (*.f64 x (log.f64 x))) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(neg.f64 (*.f64 (log.f64 x) x)) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 2)) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(log.f64 (pow.f64 (/.f64 1 x) x)) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3)) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 x 3))) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 (/.f64 1 x) x) 1)) |
(log1p.f64 (+.f64 (pow.f64 (/.f64 1 x) x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 1 x) x))) |
(exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x))))) |
(+.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) -1) |
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(-.f64 (+.f64 1 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))) 1) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 1) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(pow.f64 (pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 3) 1/3) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))) 3) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x))))) 2) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 2)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) x) -3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))) 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(log1p.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 1 x) x) -3) 1)) |
(log1p.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 1 x) x) -3) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 1 x) x) -3))) |
(exp.f64 (log.f64 (*.f64 x (neg.f64 (*.f64 -3 (log.f64 x)))))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 x (*.f64 (log.f64 x) 3)) |
| ✓ | 0.3b | (*.f64 (log.f64 x) 3) |
| ✓ | 0.4b | (*.f64 1/3 (*.f64 x (*.f64 (log.f64 x) 3))) |
Compiled 24 to 14 computations (41.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (log.f64 x) 3) |
| 0.0ms | x | @ | 0 | (*.f64 (log.f64 x) 3) |
| 0.0ms | x | @ | inf | (*.f64 (log.f64 x) 3) |
| 0.0ms | x | @ | 0 | (*.f64 1/3 (*.f64 x (*.f64 (log.f64 x) 3))) |
| 0.0ms | x | @ | -inf | (*.f64 1/3 (*.f64 x (*.f64 (log.f64 x) 3))) |
| 1× | batch-egg-rewrite |
| 720× | pow1_binary64 |
| 666× | add-log-exp_binary64 |
| 666× | log1p-expm1-u_binary64 |
| 666× | expm1-log1p-u_binary64 |
| 654× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 162 | 24 |
| 2 | 1847 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 x (*.f64 (log.f64 x) 3))) |
(*.f64 (log.f64 x) 3) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x (log.f64 x)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x (log.f64 x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x (log.f64 x)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x (log.f64 x)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 x) 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 (log.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (pow.f64 x 3) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (log.f64 x) 3)))))))) |
| 1× | egg-herbie |
| 605× | log-prod_binary64 |
| 474× | unswap-sqr_binary64 |
| 295× | fma-neg_binary64 |
| 197× | distribute-rgt-neg-out_binary64 |
| 191× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 507 |
| 1 | 242 | 507 |
| 2 | 999 | 507 |
| 3 | 4069 | 507 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 3 (log.f64 x)) |
(*.f64 3 (log.f64 x)) |
(*.f64 3 (log.f64 x)) |
(*.f64 3 (log.f64 x)) |
(*.f64 -3 (log.f64 (/.f64 1 x))) |
(*.f64 -3 (log.f64 (/.f64 1 x))) |
(*.f64 -3 (log.f64 (/.f64 1 x))) |
(*.f64 -3 (log.f64 (/.f64 1 x))) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x (log.f64 x)) 1)) 1) |
(pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 1) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (log.f64 x)) 1)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x (log.f64 x)) 1)) 2) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 2)) |
(log.f64 (exp.f64 (*.f64 (*.f64 x (log.f64 x)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (log.f64 x)) 1))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (log.f64 x)) 1))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x (log.f64 x)) 1))) |
(-.f64 (+.f64 1 (*.f64 (log.f64 x) 3)) 1) |
(pow.f64 (*.f64 (log.f64 x) 3) 1) |
(pow.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) 2) |
(sqrt.f64 (*.f64 9 (pow.f64 (log.f64 x) 2))) |
(log.f64 (pow.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) |
(log1p.f64 (-.f64 (pow.f64 x 3) 1)) |
(exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 (log.f64 x) 3))) 1) |
(pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 2)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) 3) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) |
(log1p.f64 (-.f64 (pow.f64 (pow.f64 x 3) x) 1)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) |
| Outputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) |
(*.f64 x (log.f64 x)) |
(*.f64 3 (log.f64 x)) |
(*.f64 (log.f64 x) 3) |
(*.f64 3 (log.f64 x)) |
(*.f64 (log.f64 x) 3) |
(*.f64 3 (log.f64 x)) |
(*.f64 (log.f64 x) 3) |
(*.f64 3 (log.f64 x)) |
(*.f64 (log.f64 x) 3) |
(*.f64 -3 (log.f64 (/.f64 1 x))) |
(*.f64 (log.f64 x) 3) |
(*.f64 -3 (log.f64 (/.f64 1 x))) |
(*.f64 (log.f64 x) 3) |
(*.f64 -3 (log.f64 (/.f64 1 x))) |
(*.f64 (log.f64 x) 3) |
(*.f64 -3 (log.f64 (/.f64 1 x))) |
(*.f64 (log.f64 x) 3) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 (log.f64 x) 3) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 (log.f64 x) 3) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 (log.f64 x) 3) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 (log.f64 x) 3) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 x (log.f64 x))) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(*.f64 3 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x (log.f64 x)) 1)) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 3) 1/3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (log.f64 x)) 1)) 3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x (log.f64 x)) 1)) 2) |
(*.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 2)) |
(*.f64 x (log.f64 x)) |
(log.f64 (exp.f64 (*.f64 (*.f64 x (log.f64 x)) 1))) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) 1) 3)) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (log.f64 x)) 1))) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (log.f64 x)) 1))) |
(*.f64 x (log.f64 x)) |
(exp.f64 (log.f64 (*.f64 (*.f64 x (log.f64 x)) 1))) |
(*.f64 x (log.f64 x)) |
(-.f64 (+.f64 1 (*.f64 (log.f64 x) 3)) 1) |
(*.f64 (log.f64 x) 3) |
(pow.f64 (*.f64 (log.f64 x) 3) 1) |
(*.f64 (log.f64 x) 3) |
(pow.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) 1/3) |
(*.f64 (log.f64 x) 3) |
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 3) |
(*.f64 (log.f64 x) 3) |
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) 3)) 2) |
(*.f64 (log.f64 x) 3) |
(sqrt.f64 (*.f64 9 (pow.f64 (log.f64 x) 2))) |
(*.f64 (log.f64 x) 3) |
(log.f64 (pow.f64 x 3)) |
(*.f64 (log.f64 x) 3) |
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3)) |
(*.f64 (log.f64 x) 3) |
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) 3))) |
(*.f64 (log.f64 x) 3) |
(log1p.f64 (-.f64 (pow.f64 x 3) 1)) |
(log1p.f64 (+.f64 (pow.f64 x 3) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x 3))) |
(exp.f64 (log.f64 (*.f64 (log.f64 x) 3))) |
(*.f64 (log.f64 x) 3) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 (log.f64 x) 3))) 1) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 1) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3) 1/3) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 3) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 2) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 2)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (log.f64 x) 3)) 3)) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 x) 3) 3))) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3) (pow.f64 x 3))) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
(log1p.f64 (-.f64 (pow.f64 (pow.f64 x 3) x) 1)) |
(log1p.f64 (+.f64 (pow.f64 (pow.f64 x 3) x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 (pow.f64 x 3) x))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 (log.f64 x) 3)))) |
(log.f64 (pow.f64 (pow.f64 x 3) x)) |
(*.f64 x (*.f64 (log.f64 x) 3)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (pow.f64 (sqrt.f64 x) 2) (log.f64 x)) |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 x) 2) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 (sqrt.f64 x) 2) (log.f64 x)) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 x) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 x) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 x) 2) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 (sqrt.f64 x) 2) (log.f64 x)) |
| 1× | batch-egg-rewrite |
| 494× | pow1_binary64 |
| 475× | add-sqr-sqrt_binary64 |
| 457× | add-log-exp_binary64 |
| 457× | log1p-expm1-u_binary64 |
| 457× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 142 | 7 |
| 2 | 1319 | 7 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 x) 2) |
(*.f64 (pow.f64 (sqrt.f64 x) 2) (log.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
| 1× | egg-herbie |
| 522× | log-prod_binary64 |
| 446× | associate-*l*_binary64 |
| 363× | associate-*r*_binary64 |
| 222× | fma-neg_binary64 |
| 209× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 276 |
| 1 | 171 | 231 |
| 2 | 581 | 186 |
| 3 | 3185 | 186 |
| 4 | 7971 | 186 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 (log.f64 x) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(+.f64 1 (-.f64 x 1)) |
(-.f64 (+.f64 1 x) 1) |
(*.f64 x 1) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 1 x) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4)) |
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (*.f64 x x)) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(exp.f64 (log.f64 x)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
| Outputs |
|---|
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(*.f64 x (log.f64 x)) |
(+.f64 1 (-.f64 x 1)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(-.f64 (+.f64 1 x) 1) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(*.f64 x 1) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(*.f64 1 x) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x))) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(sqrt.f64 (*.f64 x x)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(log.f64 (exp.f64 x)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(cbrt.f64 (pow.f64 x 3)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(expm1.f64 (log1p.f64 x)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(log1p.f64 (expm1.f64 x)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(exp.f64 (log.f64 x)) |
(+.f64 1 (+.f64 x -1)) |
(+.f64 x 0) |
x |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(*.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(*.f64 x (log.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (neg.f64 (log.f64 x))) |
| ✓ | 0.1b | (*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x) |
| ✓ | 0.5b | (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) |
Compiled 33 to 9 computations (72.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 73.0ms | x | @ | 0 | (log.f64 (neg.f64 (log.f64 x))) |
| 32.0ms | x | @ | -inf | (log.f64 (neg.f64 (log.f64 x))) |
| 13.0ms | x | @ | inf | (log.f64 (neg.f64 (log.f64 x))) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) |
| 0.0ms | x | @ | -inf | (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) |
| 1× | batch-egg-rewrite |
| 453× | pow1_binary64 |
| 432× | add-sqr-sqrt_binary64 |
| 426× | *-un-lft-identity_binary64 |
| 416× | add-log-exp_binary64 |
| 415× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 125 | 14 |
| 2 | 1443 | 14 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x) |
(log.f64 (neg.f64 (log.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 x 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log.f64 x)))))))) |
| 1× | egg-herbie |
| 721× | fma-neg_binary64 |
| 607× | fma-def_binary64 |
| 587× | log-prod_binary64 |
| 470× | unswap-sqr_binary64 |
| 270× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 829 |
| 1 | 307 | 634 |
| 2 | 1265 | 604 |
| 3 | 7031 | 604 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(log.f64 (/.f64 1 x)) |
(log.f64 (/.f64 1 x)) |
(log.f64 (/.f64 1 x)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 1 (-.f64 (log.f64 x) 1)) |
(+.f64 0 (log.f64 x)) |
(+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (log.f64 (cbrt.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) |
(-.f64 0 (log.f64 x)) |
(-.f64 (+.f64 1 (log.f64 x)) 1) |
(*.f64 (log.f64 x) 1) |
(*.f64 (log.f64 x) -1) |
(*.f64 1 (log.f64 x)) |
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))) |
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x)))) |
(*.f64 -1 (log.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x))))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x)) |
(pow.f64 (log.f64 x) 1) |
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3) |
(pow.f64 (cbrt.f64 (log.f64 x)) 3) |
(pow.f64 (sqrt.f64 (log.f64 x)) 2) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x)))) |
(pow.f64 (exp.f64 1) (log.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(sqrt.f64 (pow.f64 (log.f64 x) 2)) |
(log.f64 x) |
(cbrt.f64 (pow.f64 (log.f64 x) 3)) |
(expm1.f64 (log1p.f64 (log.f64 x))) |
(log1p.f64 (-.f64 x 1)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(neg.f64 (*.f64 x (log.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 0 (log.f64 (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x)))) |
(+.f64 (log.f64 -1) (log.f64 (log.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))) |
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1) |
(*.f64 (log.f64 (log.f64 x)) 1) |
(*.f64 1 (log.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))) |
(pow.f64 (log.f64 (log.f64 x)) 1) |
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x)))) |
(log1p.f64 (-.f64 (log.f64 x) 1)) |
(exp.f64 (log.f64 (log.f64 (log.f64 x)))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(neg.f64 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(neg.f64 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(neg.f64 (log.f64 x)) |
(log.f64 (/.f64 1 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 (log.f64 (/.f64 1 x)) x) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) |
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) |
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) |
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) |
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (*.f64 1 (neg.f64 (log.f64 x)))) |
(log.f64 (neg.f64 (log.f64 x))) |
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (*.f64 1 (neg.f64 (log.f64 x)))) |
(log.f64 (neg.f64 (log.f64 x))) |
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (*.f64 1 (neg.f64 (log.f64 x)))) |
(log.f64 (neg.f64 (log.f64 x))) |
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (*.f64 1 (neg.f64 (log.f64 x)))) |
(log.f64 (neg.f64 (log.f64 x))) |
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(+.f64 1 (-.f64 (log.f64 x) 1)) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(+.f64 0 (log.f64 x)) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (log.f64 (cbrt.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) |
(*.f64 2 (log.f64 (sqrt.f64 x))) |
(*.f64 (log.f64 (sqrt.f64 x)) 2) |
(-.f64 0 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(-.f64 (+.f64 1 (log.f64 x)) 1) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(*.f64 (log.f64 x) 1) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(*.f64 (log.f64 x) -1) |
(neg.f64 (log.f64 x)) |
(*.f64 1 (log.f64 x)) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x))) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x)))) |
(neg.f64 (log.f64 x)) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x)))) |
(neg.f64 (log.f64 x)) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x))))) |
(neg.f64 (log.f64 x)) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(pow.f64 (log.f64 x) 1) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(pow.f64 (cbrt.f64 (log.f64 x)) 3) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(pow.f64 (sqrt.f64 (log.f64 x)) 2) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x)))) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x)))) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(pow.f64 (exp.f64 1) (log.f64 (log.f64 x))) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(neg.f64 (log.f64 x)) |
(sqrt.f64 (pow.f64 (log.f64 x) 2)) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(log.f64 x) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(cbrt.f64 (pow.f64 (log.f64 x) 3)) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(expm1.f64 (log1p.f64 (log.f64 x))) |
(+.f64 1 (+.f64 (log.f64 x) -1)) |
(log.f64 x) |
(log1p.f64 (-.f64 x 1)) |
(log1p.f64 (+.f64 x -1)) |
(log1p.f64 (+.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (*.f64 x (log.f64 x)) 1) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(neg.f64 (*.f64 x (log.f64 x))) |
(*.f64 x (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(+.f64 0 (log.f64 (log.f64 x))) |
(log.f64 (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(+.f64 (log.f64 -1) (log.f64 (log.f64 x))) |
(log.f64 (*.f64 1 (neg.f64 (log.f64 x)))) |
(log.f64 (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1) |
(log.f64 (log.f64 x)) |
(*.f64 (log.f64 (log.f64 x)) 1) |
(log.f64 (log.f64 x)) |
(*.f64 1 (log.f64 (log.f64 x))) |
(log.f64 (log.f64 x)) |
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) |
(log.f64 (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(pow.f64 (log.f64 (log.f64 x)) 1) |
(log.f64 (log.f64 x)) |
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3) |
(log.f64 (log.f64 x)) |
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3) |
(log.f64 (log.f64 x)) |
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2) |
(log.f64 (log.f64 x)) |
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)) |
(log.f64 (log.f64 x)) |
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)) |
(log.f64 (log.f64 x)) |
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
(log1p.f64 (-.f64 (log.f64 x) 1)) |
(log.f64 (log.f64 x)) |
(exp.f64 (log.f64 (log.f64 (log.f64 x)))) |
(log.f64 (log.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) |
| ✓ | 0.5b | (cbrt.f64 x) |
| ✓ | 0.6b | (cbrt.f64 (log.f64 x)) |
| ✓ | 0.7b | (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3) |
Compiled 24 to 8 computations (66.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3) |
| 0.0ms | x | @ | -inf | (cbrt.f64 x) |
| 0.0ms | x | @ | inf | (cbrt.f64 x) |
| 1× | batch-egg-rewrite |
| 657× | pow1_binary64 |
| 614× | add-log-exp_binary64 |
| 614× | log1p-expm1-u_binary64 |
| 614× | expm1-log1p-u_binary64 |
| 595× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 165 | 22 |
| 2 | 1790 | 22 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3) |
(cbrt.f64 (log.f64 x)) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))))) |
| 1× | egg-herbie |
| 496× | log-prod_binary64 |
| 459× | fma-neg_binary64 |
| 342× | cube-prod_binary64 |
| 318× | fabs-mul_binary64 |
| 304× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 886 |
| 1 | 345 | 730 |
| 2 | 1301 | 574 |
| 3 | 3489 | 566 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 x) 1/3) |
(pow.f64 (log.f64 x) 1/3) |
(pow.f64 (log.f64 x) 1/3) |
(pow.f64 (log.f64 x) 1/3) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)) |
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))) (cbrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(log.f64 (pow.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 x))) 1) |
(*.f64 (cbrt.f64 (log.f64 x)) 1) |
(*.f64 1 (cbrt.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3)) |
(pow.f64 (log.f64 x) 1/3) |
(pow.f64 (cbrt.f64 (log.f64 x)) 1) |
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) |
(pow.f64 (pow.f64 (log.f64 x) 1/6) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (log.f64 x)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x)))) |
(exp.f64 (log.f64 (cbrt.f64 (log.f64 x)))) |
(-.f64 (+.f64 1 (cbrt.f64 x)) 1) |
(*.f64 (cbrt.f64 x) 1) |
(*.f64 1 (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3)) |
(pow.f64 x 1/3) |
(pow.f64 (cbrt.f64 x) 1) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(pow.f64 (pow.f64 x 1/6) 2) |
(sqrt.f64 (cbrt.f64 (*.f64 x x))) |
(log.f64 (exp.f64 (cbrt.f64 x))) |
(expm1.f64 (log1p.f64 (cbrt.f64 x))) |
(log1p.f64 (expm1.f64 (cbrt.f64 x))) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1) |
(pow.f64 (*.f64 x (log.f64 x)) 1/3) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
| Outputs |
|---|
(pow.f64 (log.f64 x) 1/3) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (log.f64 x) 1/3) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (log.f64 x) 1/3) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (log.f64 x) 1/3) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 x)) |
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 x (log.f64 x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 (log.f64 x) x) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 x (log.f64 x)) 1) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 1 (*.f64 x (log.f64 x))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (log.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))) (cbrt.f64 x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log.f64 (pow.f64 x x)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(log1p.f64 (-.f64 (pow.f64 x x) 1)) |
(log1p.f64 (+.f64 (pow.f64 x x) -1)) |
(log1p.f64 (+.f64 -1 (pow.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 1 (-.f64 (log.f64 (pow.f64 x x)) 1)) |
(+.f64 (*.f64 x (log.f64 x)) 0) |
(*.f64 x (log.f64 x)) |
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 x))) 1) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (cbrt.f64 (log.f64 x)) 1) |
(cbrt.f64 (log.f64 x)) |
(*.f64 1 (cbrt.f64 (log.f64 x))) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6)) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x))) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 x)))) |
(cbrt.f64 (log.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (log.f64 x)))) |
(pow.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/6) 4) |
(pow.f64 (log.f64 x) 1/3) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (cbrt.f64 (log.f64 x)) 1) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) |
(cbrt.f64 (log.f64 x)) |
(pow.f64 (pow.f64 (log.f64 x) 1/6) 2) |
(cbrt.f64 (log.f64 x)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(cbrt.f64 (log.f64 x)) |
(log.f64 (exp.f64 (cbrt.f64 (log.f64 x)))) |
(cbrt.f64 (log.f64 x)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) |
(cbrt.f64 (log.f64 x)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x)))) |
(cbrt.f64 (log.f64 x)) |
(exp.f64 (log.f64 (cbrt.f64 (log.f64 x)))) |
(cbrt.f64 (log.f64 x)) |
(-.f64 (+.f64 1 (cbrt.f64 x)) 1) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 x) 1) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(*.f64 1 (cbrt.f64 x)) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x)) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 4) |
(pow.f64 x 1/3) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 1) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 x 1/6) 2) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(sqrt.f64 (cbrt.f64 (*.f64 x x))) |
(log.f64 (exp.f64 (cbrt.f64 x))) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(expm1.f64 (log1p.f64 (cbrt.f64 x))) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(log1p.f64 (expm1.f64 (cbrt.f64 x))) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(+.f64 1 (-.f64 (cbrt.f64 x) 1)) |
(+.f64 (cbrt.f64 x) 0) |
(cbrt.f64 x) |
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(pow.f64 (*.f64 x (log.f64 x)) 1/3) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) |
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 1)) |
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0) |
(cbrt.f64 (*.f64 x (log.f64 x))) |
Compiled 3835 to 2123 computations (44.6% saved)
22 alts after pruning (8 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 5 | 371 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 13 | 13 |
| Total | 369 | 22 | 391 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.5b | (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3) |
| ✓ | 30.3b | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
| ✓ | 1.3b | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
| ✓ | 0.6b | (*.f64 (pow.f64 (sqrt.f64 x) 2) (log.f64 x)) |
| 1.3b | (*.f64 (pow.f64 (cbrt.f64 x) 3) (log.f64 x)) | |
| 0.6b | (*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) | |
| 30.3b | (*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) | |
| ✓ | 0.5b | (*.f64 (*.f64 1/3 (*.f64 x 3)) (log.f64 x)) |
| 33.8b | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x))) | |
| ✓ | 0.3b | (*.f64 x (log.f64 x)) |
| 1.4b | (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 3)) | |
| ✓ | 0.5b | (*.f64 1/3 (*.f64 (*.f64 x 3) (log.f64 x))) |
| ✓ | 0.5b | (*.f64 1/3 (*.f64 x (*.f64 (log.f64 x) 3))) |
| 44.5b | (*.f64 1/3 (*.f64 x (log.f64 (pow.f64 x 3)))) | |
| 0.7b | (*.f64 1/3 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3)))) | |
| 1.3b | (*.f64 1/3 (*.f64 -3 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x))) | |
| ✓ | 0.5b | (*.f64 1/3 (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x))) |
| ✓ | 1.3b | (*.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x)) |
| ✓ | 0.3b | (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
| ✓ | 34.5b | (*.f64 -1 (*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x)) |
| ✓ | 34.5b | (*.f64 -1 (*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x)) |
| ✓ | 60.3b | (log.f64 (pow.f64 x x)) |
Compiled 205 to 154 computations (24.9% saved)
Total -63.7b remaining (-22343.8%)
Threshold costs -63.7b (-22343.8%)
| Inputs |
|---|
(*.f64 x (log.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 1/3 (*.f64 x (*.f64 (log.f64 x) 3))) |
(*.f64 1/3 (*.f64 (*.f64 x 3) (log.f64 x))) |
(*.f64 (*.f64 1/3 (*.f64 x 3)) (log.f64 x)) |
(*.f64 1/3 (*.f64 -3 (*.f64 (log.f64 (/.f64 1 x)) x))) |
(log.f64 (pow.f64 x x)) |
(*.f64 1/3 (*.f64 x (log.f64 (pow.f64 x 3)))) |
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) |
(*.f64 (pow.f64 (cbrt.f64 x) 3) (log.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 x) 2) (log.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) |
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 -1 (exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x)))))) |
(*.f64 -1 (*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x)) |
(*.f64 -1 (*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x)) |
(*.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x)) |
(*.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x))) |
(*.f64 1/3 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) 3) 3)))) |
(*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 (log.f64 x)))) 3)) |
(*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (log.f64 x) 3))) 3)) |
(*.f64 1/3 (*.f64 -3 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x))) |
(pow.f64 (E.f64) (log.f64 (*.f64 x (log.f64 x)))) |
(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3) |
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) 2) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) 2))) (cbrt.f64 (log.f64 (*.f64 x (log.f64 x))))) |
| Outputs |
|---|
(*.f64 x (log.f64 x)) |
2 calls:
| 13.0ms | (*.f64 x (log.f64 x)) |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (*.f64 x (log.f64 x)) |
Compiled 272 to 151 computations (44.5% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 5 | 6 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (log.f64 x)) |
| Outputs |
|---|
(*.f64 x (log.f64 x)) |
Compiled 5 to 3 computations (40% saved)
Compiled 5 to 3 computations (40% saved)
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