Time bar (total: 8.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 74.9% | 25.1% | 3 |
| 0% | 74.9% | 25.1% | 4 |
| 0% | 62.4% | 37.6% | 5 |
| 0% | 56.2% | 43.8% | 6 |
| 6.2% | 49.9% | 43.8% | 7 |
| 9.4% | 43.7% | 47% | 8 |
| 14% | 37.4% | 48.5% | 9 |
| 21.1% | 30.4% | 48.5% | 10 |
| 24.6% | 26.1% | 49.3% | 11 |
| 28.7% | 21.6% | 49.7% | 12 |
Compiled 12 to 8 computations (33.3% saved)
| 1.9s | 8255× | body | 256 | valid |
| 9.0ms | 86× | body | 256 | invalid |
| 0.0ms | 1× | body | 1024 | valid |
| 2× | egg-herbie |
| 3570× | fma-neg_binary64 |
| 578× | distribute-rgt-in_binary64 |
| 511× | sub-neg_binary64 |
| 416× | distribute-lft-in_binary64 |
| 395× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 1 | 46 | 48 |
| 2 | 112 | 48 |
| 3 | 264 | 48 |
| 4 | 551 | 48 |
| 5 | 1259 | 48 |
| 6 | 2557 | 48 |
| 7 | 4540 | 48 |
| 8 | 5596 | 48 |
| 9 | 6613 | 48 |
| 10 | 6743 | 48 |
| 11 | 6821 | 48 |
| 12 | 6842 | 48 |
| 13 | 7152 | 48 |
| 14 | 7376 | 48 |
| 15 | 7400 | 48 |
| 16 | 7418 | 48 |
| 17 | 7430 | 48 |
| 18 | 7430 | 48 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (-.f64 (*.f64 y (log.f64 x)) z) x) |
(-.f64 (-.f64 (*.f64 z (log.f64 y)) x) y) |
(-.f64 (-.f64 (*.f64 x (log.f64 z)) y) z) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y)) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (-.f64 (*.f64 y (log.f64 x)) z) x) |
(-.f64 (*.f64 y (log.f64 x)) (+.f64 z x)) |
(-.f64 (*.f64 y (log.f64 x)) (+.f64 x z)) |
(-.f64 (fma.f64 y (log.f64 x) (neg.f64 z)) x) |
(-.f64 (-.f64 (*.f64 z (log.f64 y)) x) y) |
(-.f64 (*.f64 (log.f64 y) z) (+.f64 x y)) |
(-.f64 (fma.f64 (log.f64 y) z (neg.f64 x)) y) |
(-.f64 (-.f64 (*.f64 x (log.f64 z)) y) z) |
(-.f64 (*.f64 x (log.f64 z)) (+.f64 y z)) |
(-.f64 (fma.f64 x (log.f64 z) (neg.f64 y)) z) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 3351× | fma-neg_binary64 |
| 480× | distribute-rgt-in_binary64 |
| 434× | unsub-neg_binary64 |
| 353× | fma-def_binary64 |
| 298× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 16 | 12 |
| 2 | 36 | 12 |
| 3 | 82 | 12 |
| 4 | 168 | 12 |
| 5 | 331 | 12 |
| 6 | 539 | 12 |
| 7 | 1289 | 12 |
| 8 | 2646 | 12 |
| 9 | 4281 | 12 |
| 10 | 5008 | 12 |
| 11 | 5366 | 12 |
| 12 | 5485 | 12 |
| 13 | 5519 | 12 |
| 14 | 5523 | 12 |
| 15 | 5725 | 12 |
| 16 | 5884 | 12 |
| 17 | 5908 | 12 |
| 18 | 5920 | 12 |
| 19 | 5928 | 12 |
| 20 | 5928 | 12 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 z y)) |
(fma.f64 x (log.f64 y) (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
Compiled 19 to 9 computations (52.6% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 11 to 7 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| ✓ | 0.2b | (*.f64 x (log.f64 y)) |
Compiled 26 to 7 computations (73.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | x | @ | 0 | (*.f64 x (log.f64 y)) |
| 35.0ms | y | @ | 0 | (*.f64 x (log.f64 y)) |
| 13.0ms | y | @ | -inf | (*.f64 x (log.f64 y)) |
| 7.0ms | y | @ | inf | (*.f64 x (log.f64 y)) |
| 2.0ms | z | @ | 0 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 1× | batch-egg-rewrite |
| 503× | fma-def_binary64 |
| 463× | log-prod_binary64 |
| 341× | exp-prod_binary64 |
| 327× | pow-prod-down_binary64 |
| 303× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 180 | 18 |
| 2 | 2641 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (log.f64 y)) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y x)) 2)) (log.f64 (cbrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (log.f64 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (log.f64 y))))) (sqrt.f64 (log.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (neg.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (-.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 y)) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 y)) z) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (neg.f64 (+.f64 y z))) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (neg.f64 (+.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (neg.f64 (+.f64 y z))) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (-.f64 (*.f64 x (log.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (log.f64 y) (neg.f64 (+.f64 y z))))))) (#(struct:change #<rule 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2)) (cbrt.f64 (log.f64 y)) (neg.f64 (-.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (neg.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (neg.f64 (-.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 z (neg.f64 y)))))))) |
| 1× | egg-herbie |
| 3713× | fma-def_binary64 |
| 740× | distribute-rgt-in_binary64 |
| 612× | unsub-neg_binary64 |
| 592× | distribute-lft-in_binary64 |
| 480× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 516 |
| 1 | 88 | 516 |
| 2 | 177 | 516 |
| 3 | 466 | 516 |
| 4 | 1108 | 516 |
| 5 | 2379 | 516 |
| 6 | 4419 | 516 |
| 7 | 5019 | 516 |
| 8 | 5286 | 516 |
| 9 | 5364 | 516 |
| 10 | 5383 | 516 |
| 11 | 5386 | 516 |
| 12 | 5574 | 516 |
| 13 | 6703 | 516 |
| 14 | 7037 | 516 |
| 15 | 7125 | 516 |
| 16 | 7167 | 516 |
| 17 | 7187 | 516 |
| 18 | 7425 | 516 |
| 19 | 7557 | 516 |
| 20 | 7593 | 516 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 -1 (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(*.f64 -1 y) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(*.f64 -1 y) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x (neg.f64 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
Compiled 3033 to 862 computations (71.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 13 | 192 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 180 | 13 | 193 |
| Status | Error | Program |
|---|---|---|
| ▶ | 45.8b | (neg.f64 y) |
| 0.2b | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) | |
| 0.4b | (-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) z) y) | |
| 17.6b | (-.f64 (*.f64 (log.f64 y) x) z) | |
| ▶ | 0.4b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (neg.f64 z) y)) |
| ▶ | 0.1b | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| 0.4b | (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (neg.f64 z) y)) | |
| 30.1b | (fma.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (log.f64 y) z)) (neg.f64 y)) | |
| ▶ | 34.6b | (-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y) |
| 23.0b | (-.f64 (neg.f64 y) z) | |
| 40.2b | (neg.f64 z) | |
| 31.8b | (fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (neg.f64 z) y)) | |
| ▶ | 23.8b | (-.f64 (*.f64 (log.f64 y) x) y) |
Compiled 324 to 212 computations (34.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
Compiled 22 to 7 computations (68.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| 0.0ms | x | @ | inf | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| 0.0ms | y | @ | 0 | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| 0.0ms | y | @ | -inf | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| 0.0ms | z | @ | -inf | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| 1× | batch-egg-rewrite |
| 832× | pow1_binary64 |
| 769× | add-log-exp_binary64 |
| 768× | log1p-expm1-u_binary64 |
| 768× | expm1-log1p-u_binary64 |
| 752× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 170 | 10 |
| 2 | 2337 | 10 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z y) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (-.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) x) 1) (-.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (log.f64 y) x (-.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) x) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 y) x (-.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 y) x (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (-.f64 z y))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (-.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (-.f64 z y))) 2) (cbrt.f64 (fma.f64 (log.f64 y) x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 y) x (-.f64 z y))) (sqrt.f64 (fma.f64 (log.f64 y) x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 (-.f64 z y) 3)) (+.f64 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x)) (-.f64 (pow.f64 (-.f64 z y) 2) (*.f64 (*.f64 (log.f64 y) x) (-.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x)) (pow.f64 (-.f64 z y) 2)) (-.f64 (*.f64 (log.f64 y) x) (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 y) x (-.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) x (-.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (-.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) x (-.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) x (-.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (log.f64 y) x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) x (-.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 y) x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 y) x (-.f64 z y)))))))) |
| 1× | egg-herbie |
| 3706× | fma-def_binary64 |
| 726× | distribute-rgt-in_binary64 |
| 612× | unsub-neg_binary64 |
| 586× | distribute-lft-in_binary64 |
| 481× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 372 |
| 1 | 88 | 372 |
| 2 | 176 | 372 |
| 3 | 467 | 372 |
| 4 | 1104 | 372 |
| 5 | 2325 | 372 |
| 6 | 4273 | 372 |
| 7 | 4878 | 372 |
| 8 | 5145 | 372 |
| 9 | 5223 | 372 |
| 10 | 5242 | 372 |
| 11 | 5245 | 372 |
| 12 | 5433 | 372 |
| 13 | 6563 | 372 |
| 14 | 6897 | 372 |
| 15 | 6985 | 372 |
| 16 | 7027 | 372 |
| 17 | 7047 | 372 |
| 18 | 7285 | 372 |
| 19 | 7401 | 372 |
| 20 | 7437 | 372 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(*.f64 -1 y) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(*.f64 -1 y) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(*.f64 -1 (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 y z))) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 (log.f64 y) x) y) |
| ✓ | 0.2b | (*.f64 (log.f64 y) x) |
Compiled 17 to 6 computations (64.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (log.f64 y) x) |
| 0.0ms | y | @ | inf | (-.f64 (*.f64 (log.f64 y) x) y) |
| 0.0ms | y | @ | -inf | (*.f64 (log.f64 y) x) |
| 0.0ms | y | @ | 0 | (-.f64 (*.f64 (log.f64 y) x) y) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 (log.f64 y) x) y) |
| 1× | batch-egg-rewrite |
| 698× | pow1_binary64 |
| 647× | add-log-exp_binary64 |
| 647× | log1p-expm1-u_binary64 |
| 647× | expm1-log1p-u_binary64 |
| 633× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 128 | 15 |
| 2 | 1749 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (log.f64 y) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 y) x y) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y)) (fma.f64 (log.f64 y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y))) (neg.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 (log.f64 y) x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 (log.f64 y) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 y x) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 y) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (*.f64 (log.f64 y) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)) (neg.f64 y)))))) |
| 1× | egg-herbie |
| 1135× | fma-neg_binary64 |
| 567× | fma-def_binary64 |
| 408× | associate--r-_binary64 |
| 386× | associate--r+_binary64 |
| 370× | associate--l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 281 |
| 1 | 48 | 281 |
| 2 | 95 | 237 |
| 3 | 221 | 237 |
| 4 | 495 | 237 |
| 5 | 1150 | 237 |
| 6 | 3224 | 237 |
| 7 | 3906 | 237 |
| 8 | 4042 | 237 |
| 9 | 4059 | 237 |
| 10 | 4069 | 237 |
| 11 | 4071 | 237 |
| 12 | 6927 | 237 |
| 13 | 7623 | 237 |
| 14 | 7801 | 237 |
| 15 | 7859 | 237 |
| 16 | 7871 | 237 |
| 17 | 7875 | 237 |
| 18 | 7951 | 237 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 -1 y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(*.f64 (log.f64 y) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(*.f64 (log.f64 y) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(*.f64 (log.f64 y) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(neg.f64 (neg.f64 (*.f64 x (log.f64 y)))) |
(*.f64 x (log.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y) |
| ✓ | 0.1b | (sqrt.f64 (*.f64 x (log.f64 y))) |
| 0.2b | (*.f64 x (log.f64 y)) | |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) |
Compiled 45 to 16 computations (64.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) |
| 1.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) |
| 1.0ms | x | @ | -inf | (-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y) |
| 1× | batch-egg-rewrite |
| 552× | fma-def_binary64 |
| 526× | log-prod_binary64 |
| 380× | pow-prod-down_binary64 |
| 339× | fma-neg_binary64 |
| 291× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 247 | 26 |
| 2 | 3087 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) |
(sqrt.f64 (*.f64 x (log.f64 y))) |
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y) |
| Outputs |
|---|
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x)) (sqrt.f64 x) (neg.f64 (-.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (log.f64 y)) 5/6) (pow.f64 (*.f64 x (log.f64 y)) 1/6) (neg.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (log.f64 y)) 5/6) (pow.f64 (*.f64 x (log.f64 y)) 1/6) (-.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (log.f64 y)) 5/6) (pow.f64 (*.f64 x (log.f64 y)) 1/6) (neg.f64 (-.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 y)) x) 1/2) (sqrt.f64 (log.f64 y)) (neg.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 y)) x) 1/2) (sqrt.f64 (log.f64 y)) (-.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 y)) x) 1/2) (sqrt.f64 (log.f64 y)) (neg.f64 (-.f64 z (neg.f64 y)))))))) |
| 1× | egg-herbie |
| 777× | fma-neg_binary64 |
| 597× | fma-def_binary64 |
| 471× | unsub-neg_binary64 |
| 315× | cancel-sign-sub-inv_binary64 |
| 311× | associate--r-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 448 |
| 1 | 94 | 448 |
| 2 | 187 | 448 |
| 3 | 513 | 448 |
| 4 | 1526 | 448 |
| 5 | 4591 | 448 |
| 6 | 7524 | 448 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 -1 (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(*.f64 -1 y) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(*.f64 -1 y) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (*.f64 (log.f64 y) x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (*.f64 (log.f64 y) x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (*.f64 (log.f64 y) x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (*.f64 (log.f64 y) x)))) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (neg.f64 z) y)) |
| ✓ | 0.3b | (*.f64 (cbrt.f64 x) (log.f64 y)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.5b | (cbrt.f64 x) |
Compiled 40 to 14 computations (65% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (neg.f64 z) y)) |
| 2.0ms | y | @ | 0 | (*.f64 (cbrt.f64 x) (log.f64 y)) |
| 1.0ms | z | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (neg.f64 z) y)) |
| 1.0ms | x | @ | -inf | (cbrt.f64 x) |
| 1.0ms | x | @ | -inf | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (neg.f64 z) y)) |
| 1× | batch-egg-rewrite |
| 616× | prod-diff_binary64 |
| 523× | log-prod_binary64 |
| 352× | pow-prod-down_binary64 |
| 287× | pow2_binary64 |
| 256× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 252 | 29 |
| 2 | 3181 | 27 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 2) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (neg.f64 z) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(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 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(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 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 y (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y (cbrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 y (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (log.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (cbrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z y) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (-.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 x (log.f64 y) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 y)) 1) (-.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) z) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (log.f64 y) z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (log.f64 y) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (log.f64 y) z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (log.f64 y) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)) 2) (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)) (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (-.f64 z y) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (-.f64 (pow.f64 (-.f64 z y) 2) (*.f64 (*.f64 x (log.f64 y)) (-.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (pow.f64 (-.f64 z y) 2)) (-.f64 (*.f64 x (log.f64 y)) (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (log.f64 y) z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) z) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (log.f64 y) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 z y)) (exp.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 z y))) (exp.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (log.f64 y))) (+.f64 1 (expm1.f64 (-.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) z) y)) 1)))))) |
| 1× | egg-herbie |
| 823× | fma-def_binary64 |
| 583× | unsub-neg_binary64 |
| 311× | distribute-neg-in_binary64 |
| 300× | distribute-rgt-neg-in_binary64 |
| 296× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 420 |
| 1 | 139 | 360 |
| 2 | 327 | 360 |
| 3 | 884 | 360 |
| 4 | 2263 | 360 |
| 5 | 5022 | 360 |
| 6 | 7248 | 360 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 -1 (+.f64 y z)) |
(*.f64 -1 (+.f64 y z)) |
(*.f64 -1 (+.f64 y z)) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) z) |
(*.f64 -1 y) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))) z) |
(*.f64 -1 y) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (*.f64 -1 y)) z) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(*.f64 -1 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(*.f64 -1 (+.f64 y z)) |
(neg.f64 (+.f64 y z)) |
(-.f64 (neg.f64 y) z) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) z) |
(-.f64 (*.f64 1 (*.f64 x (log.f64 y))) z) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) z) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) z) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) z) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))) z) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))) z) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))) z) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (*.f64 -1 y)) z) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) y) |
(-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) y) |
(-.f64 (-.f64 (*.f64 1 (*.f64 x (log.f64 y))) y) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) |
Compiled 7596 to 2525 computations (66.8% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 499 | 13 | 512 |
| Fresh | 8 | 0 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 510 | 15 | 525 |
| Status | Error | Program |
|---|---|---|
| ✓ | 45.8b | (neg.f64 y) |
| ▶ | 40.2b | (neg.f64 z) |
| 1.3b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3))) (-.f64 (neg.f64 z) y)) | |
| ▶ | 0.4b | (-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) z) y) |
| ▶ | 17.6b | (-.f64 (*.f64 (log.f64 y) x) z) |
| ✓ | 23.8b | (-.f64 (*.f64 (log.f64 y) x) y) |
| 40.6b | (-.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2)) 2) z) y) | |
| ▶ | 0.2b | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| 31.8b | (-.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z) y) | |
| 23.8b | (fma.f64 (log.f64 y) x (neg.f64 y)) | |
| 17.3b | (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (neg.f64 z) y)) | |
| 23.0b | (-.f64 (neg.f64 y) z) | |
| 40.6b | (*.f64 (log.f64 y) x) | |
| ▶ | 53.4b | (pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) |
| 24.5b | (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3) |
Compiled 334 to 230 computations (31.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| 0.2b | (*.f64 x (log.f64 y)) |
Compiled 35 to 9 computations (74.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | inf | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| 21.0ms | y | @ | -inf | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| 1.0ms | y | @ | 0 | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| 1.0ms | x | @ | 0 | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| 0.0ms | z | @ | 0 | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| 1× | batch-egg-rewrite |
| 991× | pow1_binary64 |
| 915× | add-log-exp_binary64 |
| 914× | log1p-expm1-u_binary64 |
| 914× | expm1-log1p-u_binary64 |
| 110× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 211 | 12 |
| 2 | 2791 | 12 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 y x)) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (log.f64 (pow.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (log.f64 (pow.f64 y x))) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))) 2) (cbrt.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))) (sqrt.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (-.f64 (log.f64 (pow.f64 y x)) z) 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y x)) z) 2) (*.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 (log.f64 (pow.f64 y x)) z) 2)) (-.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (/.f64 (pow.f64 y x) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (-.f64 (log.f64 (pow.f64 y x)) z)))))))) |
| 1× | egg-herbie |
| 3502× | fma-neg_binary64 |
| 523× | distribute-rgt-in_binary64 |
| 493× | unsub-neg_binary64 |
| 445× | fma-def_binary64 |
| 326× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 258 |
| 1 | 31 | 258 |
| 2 | 54 | 258 |
| 3 | 95 | 258 |
| 4 | 190 | 258 |
| 5 | 299 | 258 |
| 6 | 524 | 258 |
| 7 | 748 | 258 |
| 8 | 1520 | 258 |
| 9 | 2791 | 258 |
| 10 | 4345 | 258 |
| 11 | 5169 | 258 |
| 12 | 5520 | 258 |
| 13 | 5634 | 258 |
| 14 | 5682 | 258 |
| 15 | 5690 | 258 |
| 16 | 5970 | 258 |
| 17 | 6227 | 258 |
| 18 | 6259 | 258 |
| 19 | 6277 | 258 |
| 20 | 6289 | 258 |
| 21 | 6289 | 258 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 -1 y) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(*.f64 (log.f64 y) x) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(*.f64 (log.f64 y) x) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 y) x) z) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(-.f64 (*.f64 -1 y) z) |
(-.f64 (neg.f64 y) z) |
(neg.f64 (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 (log.f64 y) x) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) z) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 y z)) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (log.f64 y) x) |
Compiled 18 to 6 computations (66.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 (log.f64 y) x) y) | |
| ✓ | 0.0b | (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) |
| 0.2b | (*.f64 (log.f64 y) x) |
Compiled 34 to 10 computations (70.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) |
| 2.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) |
| 1.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) |
| 1× | batch-egg-rewrite |
| 844× | pow1_binary64 |
| 785× | add-log-exp_binary64 |
| 784× | log1p-expm1-u_binary64 |
| 784× | expm1-log1p-u_binary64 |
| 767× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 193 | 20 |
| 2 | 2183 | 20 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) |
(sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 y) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))) (/.f64 (pow.f64 y 3) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (fma.f64 (log.f64 y) x y)) (/.f64 (*.f64 y y) (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (log.f64 y) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/4) (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/4)) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 y) x y) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y)) (fma.f64 (log.f64 y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y))) (neg.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 (log.f64 y) x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 (log.f64 y) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 y x) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 y) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (*.f64 (log.f64 y) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)) (neg.f64 y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/4) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y))) (sqrt.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))))) |
| 1× | egg-herbie |
| 515× | fma-def_binary64 |
| 494× | associate-*r*_binary64 |
| 476× | times-frac_binary64 |
| 458× | associate-*l*_binary64 |
| 430× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 600 |
| 1 | 365 | 558 |
| 2 | 1389 | 494 |
| 3 | 7795 | 494 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)) (*.f64 (log.f64 y) x))))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)) (*.f64 (log.f64 y) x))))) (pow.f64 y 5)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))))))))) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) (pow.f64 x 2)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) (pow.f64 x 2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (log.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))) (*.f64 -1/8 (/.f64 (pow.f64 (log.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2))))) (pow.f64 x 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(+.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 (log.f64 y) x))))) (sqrt.f64 (*.f64 (log.f64 y) x))) |
(+.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 (log.f64 y) x))))) (+.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))))) |
(+.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 (log.f64 y) x))))) (+.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))) (*.f64 -1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))))))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))))) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)))))))) |
(fma.f64 (log.f64 y) x (fma.f64 -1 y (*.f64 (pow.f64 y 4) (+.f64 (+.f64 (/.f64 1/64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 1/16 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))))))) |
(fma.f64 (log.f64 y) x (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) 5/64) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))) (neg.f64 y))) |
(-.f64 (fma.f64 (pow.f64 y 4) (-.f64 (/.f64 1/64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 1/64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 (log.f64 y) x)) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)) (*.f64 (log.f64 y) x))))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2)) (*.f64 (log.f64 y) x))))) (pow.f64 y 5)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 -1 y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))))))))) |
(fma.f64 (log.f64 y) x (fma.f64 -1 y (*.f64 (pow.f64 y 4) (+.f64 (+.f64 (/.f64 1/64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 1/16 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))))))) |
(fma.f64 (log.f64 y) x (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) 5/64) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) 2))) (neg.f64 y))) |
(-.f64 (fma.f64 (pow.f64 y 4) (-.f64 (/.f64 1/64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 1/64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 (log.f64 y) x)) y) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) y) |
(*.f64 y (pow.f64 (sqrt.f64 -1) 2)) |
(neg.f64 y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) (pow.f64 x 2)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) (pow.f64 x 2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (log.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))) (*.f64 -1/8 (/.f64 (pow.f64 (log.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2))))) (pow.f64 x 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(+.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 (log.f64 y) x))))) (sqrt.f64 (*.f64 (log.f64 y) x))) |
(fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 (log.f64 y) x)))) (sqrt.f64 (*.f64 (log.f64 y) x))) |
(fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 (/.f64 1 x) (log.f64 y)))) (sqrt.f64 (*.f64 (log.f64 y) x))) |
(fma.f64 y (*.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 (log.f64 y)) x))) (sqrt.f64 (*.f64 (log.f64 y) x))) |
(+.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 (log.f64 y) x))))) (+.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))))) |
(+.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 (log.f64 y) x)))) (sqrt.f64 (*.f64 (log.f64 y) x))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 y y)))) |
(fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 (/.f64 1 x) (log.f64 y)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 y y)) (sqrt.f64 (*.f64 (log.f64 y) x)))) |
(fma.f64 y (*.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 (log.f64 y)) x))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 y y)) (sqrt.f64 (*.f64 (log.f64 y) x)))) |
(+.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 (log.f64 y) x))))) (+.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))) (*.f64 -1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))))))))) |
(+.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (*.f64 (log.f64 y) x)))) (sqrt.f64 (*.f64 (log.f64 y) x))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 y y)) (*.f64 (*.f64 -1/16 (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))))))) |
(+.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 (/.f64 1 x) (log.f64 y)))) (sqrt.f64 (*.f64 (log.f64 y) x))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 y y)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5)))) (*.f64 -1/16 (pow.f64 y 3))))) |
(fma.f64 y (*.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 (log.f64 y)) x))) (fma.f64 (pow.f64 y 3) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (*.f64 y y)) (sqrt.f64 (*.f64 (log.f64 y) x))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (log.f64 y) x) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))) |
(fma.f64 1/2 (/.f64 (*.f64 (log.f64 y) x) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))) |
(fma.f64 1/2 (*.f64 (*.f64 x (/.f64 (log.f64 y) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 y))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y)))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (log.f64 y) x) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 -1)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y)))) |
(fma.f64 1/2 (/.f64 (*.f64 (log.f64 y) x) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) (fma.f64 -1/8 (/.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))) (/.f64 (*.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y)))) |
(fma.f64 1/2 (*.f64 (*.f64 x (/.f64 (log.f64 y) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 y))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 1/8 (/.f64 x (/.f64 (sqrt.f64 -1) (*.f64 x (pow.f64 (log.f64 y) 2))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (log.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (log.f64 y) x) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 -1)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))))) |
(fma.f64 1/2 (/.f64 (*.f64 (log.f64 y) x) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) (fma.f64 1/16 (*.f64 (*.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (fma.f64 -1/8 (/.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))) (/.f64 (*.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))))) |
(fma.f64 1/16 (*.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 (log.f64 y) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (fma.f64 1/2 (*.f64 (*.f64 x (/.f64 (log.f64 y) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 y))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 1/8 (/.f64 x (/.f64 (sqrt.f64 -1) (*.f64 x (pow.f64 (log.f64 y) 2))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 y))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (cbrt.f64 x) (log.f64 y)) | |
| ✓ | 0.4b | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 0.5b | (pow.f64 (cbrt.f64 x) 2) | |
| 0.5b | (cbrt.f64 x) |
Compiled 56 to 21 computations (62.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 1.0ms | x | @ | inf | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 1.0ms | y | @ | inf | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 0.0ms | y | @ | 0 | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 1× | batch-egg-rewrite |
| 742× | pow1_binary64 |
| 683× | add-log-exp_binary64 |
| 683× | log1p-expm1-u_binary64 |
| 683× | expm1-log1p-u_binary64 |
| 667× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 6 |
| 1 | 179 | 6 |
| 2 | 1969 | 6 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y)))))))) |
| 1× | egg-herbie |
| 3199× | fma-neg_binary64 |
| 757× | fma-def_binary64 |
| 390× | associate--r-_binary64 |
| 351× | unsub-neg_binary64 |
| 304× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 144 |
| 1 | 34 | 144 |
| 2 | 61 | 144 |
| 3 | 137 | 144 |
| 4 | 277 | 144 |
| 5 | 740 | 144 |
| 6 | 1995 | 144 |
| 7 | 3037 | 144 |
| 8 | 3664 | 144 |
| 9 | 3710 | 144 |
| 10 | 3728 | 144 |
| 11 | 3730 | 144 |
| 12 | 6149 | 144 |
| 13 | 6760 | 144 |
| 14 | 7026 | 144 |
| 15 | 7113 | 144 |
| 16 | 7127 | 144 |
| 17 | 7131 | 144 |
| 18 | 7266 | 144 |
| 19 | 7274 | 144 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
Compiled 5650 to 2516 computations (55.5% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 6 | 337 |
| Fresh | 4 | 4 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 336 | 16 | 352 |
| Status | Error | Program |
|---|---|---|
| 40.6b | (*.f64 (log.f64 y) x) | |
| 31.8b | (-.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z) y) | |
| ✓ | 45.8b | (neg.f64 y) |
| ✓ | 40.2b | (neg.f64 z) |
| ▶ | 1.3b | (-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3)))) z) y) |
| 53.3b | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) | |
| ▶ | 23.8b | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| ▶ | 23.0b | (-.f64 (neg.f64 y) z) |
| ▶ | 17.3b | (-.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) z) y) |
| ▶ | 24.5b | (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3) |
| 58.6b | (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 3/2)) 2) | |
| ✓ | 17.6b | (-.f64 (*.f64 (log.f64 y) x) z) |
| ✓ | 23.8b | (-.f64 (*.f64 (log.f64 y) x) y) |
| ✓ | 0.4b | (-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) z) y) |
| ✓ | 0.2b | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| 53.4b | (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))) |
Compiled 334 to 218 computations (34.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (pow.f64 (cbrt.f64 x) 2) | |
| 0.5b | (cbrt.f64 x) | |
| ✓ | 0.7b | (pow.f64 (log.f64 y) 3) |
| ✓ | 1.5b | (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3))) |
Compiled 75 to 42 computations (44% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | 0 | (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3))) |
| 1.0ms | y | @ | 0 | (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3))) |
| 1.0ms | y | @ | -inf | (pow.f64 (log.f64 y) 3) |
| 1.0ms | y | @ | inf | (pow.f64 (log.f64 y) 3) |
| 1.0ms | y | @ | 0 | (pow.f64 (log.f64 y) 3) |
| 1× | batch-egg-rewrite |
| 671× | pow1_binary64 |
| 625× | add-log-exp_binary64 |
| 625× | log1p-expm1-u_binary64 |
| 625× | expm1-log1p-u_binary64 |
| 609× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 164 | 14 |
| 2 | 1761 | 14 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3))) |
(pow.f64 (log.f64 y) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (cbrt.f64 x))) 2) (cbrt.f64 (*.f64 (log.f64 y) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 y) (cbrt.f64 x))) (sqrt.f64 (*.f64 (log.f64 y) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 y) (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 (log.f64 y) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 (log.f64 y) 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 (log.f64 y) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) 1) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (log.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log.f64 y) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) (cbrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 2) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 3/2) (pow.f64 (log.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 3) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 3) (pow.f64 (sqrt.f64 (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 y) 2) 1) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 y) 2) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 y) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 y)))))))) |
| 1× | egg-herbie |
| 944× | fma-def_binary64 |
| 375× | distribute-rgt-neg-in_binary64 |
| 366× | distribute-rgt-out_binary64 |
| 336× | distribute-neg-in_binary64 |
| 301× | distribute-lft-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 176 |
| 1 | 69 | 176 |
| 2 | 185 | 144 |
| 3 | 584 | 144 |
| 4 | 2013 | 144 |
| 5 | 5508 | 144 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3)) |
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3)) |
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3)) |
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3)) |
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3)) |
(pow.f64 (log.f64 y) 3) |
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3)) |
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3)) |
(pow.f64 (log.f64 y) 3) |
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3)) |
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3)) |
(pow.f64 (log.f64 y) 3) |
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 y)) 3)) |
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3)) |
(pow.f64 (log.f64 y) 3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) |
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3)) |
(pow.f64 (log.f64 y) 3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) |
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3)) |
(pow.f64 (log.f64 y) 3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) |
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3)) |
(pow.f64 (log.f64 y) 3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) |
(neg.f64 (pow.f64 (neg.f64 (log.f64 y)) 3)) |
(pow.f64 (log.f64 y) 3) |
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (log.f64 y) x (neg.f64 y)) |
Compiled 15 to 6 computations (60% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 0.0ms | y | @ | -inf | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 0.0ms | x | @ | -inf | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 0.0ms | y | @ | inf | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 0.0ms | x | @ | inf | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 482× | pow1_binary64 |
| 462× | add-sqr-sqrt_binary64 |
| 456× | *-un-lft-identity_binary64 |
| 442× | add-log-exp_binary64 |
| 441× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 119 | 7 |
| 2 | 1452 | 7 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (neg.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (log.f64 y) x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) x) 0) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 y) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) x y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) (sqrt.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x)) (*.f64 y y)) (fma.f64 (log.f64 y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 y) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 y) x y))))))) |
| 1× | egg-herbie |
| 1135× | fma-neg_binary64 |
| 559× | fma-def_binary64 |
| 408× | associate--r-_binary64 |
| 387× | associate--r+_binary64 |
| 370× | associate--l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 189 |
| 1 | 48 | 189 |
| 2 | 95 | 189 |
| 3 | 221 | 189 |
| 4 | 495 | 189 |
| 5 | 1117 | 189 |
| 6 | 3182 | 189 |
| 7 | 3870 | 189 |
| 8 | 4005 | 189 |
| 9 | 4022 | 189 |
| 10 | 4032 | 189 |
| 11 | 4034 | 189 |
| 12 | 6896 | 189 |
| 13 | 7591 | 189 |
| 14 | 7769 | 189 |
| 15 | 7827 | 189 |
| 16 | 7839 | 189 |
| 17 | 7843 | 189 |
| 18 | 7918 | 189 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 -1 y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 -1 y) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 y)) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) y) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 (log.f64 y) x) y) | |
| 0.2b | (*.f64 (log.f64 y) x) | |
| ✓ | 0.6b | (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3) |
Compiled 34 to 10 computations (70.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3) |
| 4.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3) |
| 3.0ms | y | @ | inf | (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) |
| 1.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) |
| 1× | batch-egg-rewrite |
| 861× | pow1_binary64 |
| 806× | add-log-exp_binary64 |
| 806× | log1p-expm1-u_binary64 |
| 806× | expm1-log1p-u_binary64 |
| 787× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 195 | 20 |
| 2 | 2233 | 20 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3) |
(cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 y) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))) (/.f64 (pow.f64 y 3) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (fma.f64 (log.f64 y) x y)) (/.f64 (*.f64 y y) (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (log.f64 y) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/6) (*.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/6) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) 2) 3) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) 1) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/6)) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 y) x y) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y)) (fma.f64 (log.f64 y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y))) (neg.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 (log.f64 y) x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 (log.f64 y) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 y x) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 y) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (*.f64 (log.f64 y) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)) (neg.f64 y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/6) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 1/3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y y))) (cbrt.f64 (fma.f64 (log.f64 y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 y 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 y (fma.f64 (log.f64 y) x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))))))) |
| 1× | egg-herbie |
| 624× | unswap-sqr_binary64 |
| 469× | distribute-lft-in_binary64 |
| 469× | distribute-rgt-in_binary64 |
| 397× | associate-+l+_binary64 |
| 391× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 1903 |
| 1 | 678 | 1673 |
| 2 | 2576 | 1659 |
| 3 | 7522 | 1654 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(+.f64 (*.f64 y (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9)) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9)) (*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 y) x)) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))))))) (+.f64 (*.f64 y (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9)) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9)) (*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 y) x)) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))))))) (+.f64 (*.f64 y (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 y) x)) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (log.f64 y) x)))) (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/3))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))))))))) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) y)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y))))) x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) y)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2))))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 y) 1/3)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y))))) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 y) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 y) 1/3) (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1)))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (log.f64 y) 3) y)))) (cbrt.f64 -1))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2))))) (log.f64 y)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))))))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) y)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2))))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 y) 1/3)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y))))) x)))) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(+.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) y))) |
(+.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9) (pow.f64 y 2))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) y)))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9) (pow.f64 y 2))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) y))))) |
(*.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (log.f64 y) x))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (log.f64 y) x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (log.f64 y) x))))))) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 y (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) -1) (*.f64 (log.f64 y) x)) |
(fma.f64 (log.f64 y) x (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) (neg.f64 y))) |
(fma.f64 y (neg.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18))) (*.f64 (log.f64 y) x)) |
(-.f64 (*.f64 (log.f64 y) x) (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) y)) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9)) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9)) (*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 y) x)) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))))))) (+.f64 (*.f64 y (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(fma.f64 (*.f64 y y) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)) -1/9)))) (fma.f64 y (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) -1) (*.f64 (log.f64 y) x))) |
(fma.f64 (*.f64 y y) (+.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)) 1/9)) (fma.f64 (log.f64 y) x (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) (neg.f64 y)))) |
(fma.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)) (*.f64 -1/9 (cbrt.f64 (*.f64 (log.f64 y) x)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)) 1/9)) (fma.f64 y (neg.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18))) (*.f64 (log.f64 y) x))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 y (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)) (*.f64 -1/9 (cbrt.f64 (*.f64 (log.f64 y) x)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)) 1/9)) y) (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18))))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9)) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9)) (*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 y) x)) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))))))) (+.f64 (*.f64 y (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 y) x)) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (log.f64 y) x)))) (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/3))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))))))))) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))))) |
(fma.f64 (*.f64 y y) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)) -1/9)))) (fma.f64 y (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) -1) (fma.f64 (pow.f64 y 3) (+.f64 (*.f64 2/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))) (fma.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (fma.f64 2/27 (/.f64 1 (*.f64 (log.f64 y) x)) (*.f64 -2/3 (*.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) (*.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))))) (cbrt.f64 (/.f64 1 (*.f64 (log.f64 y) x)))))) (*.f64 -1/3 (+.f64 (*.f64 1 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) (*.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)) -1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18))))))) (*.f64 (log.f64 y) x)))) |
(fma.f64 (*.f64 y y) (+.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)) 1/9)) (fma.f64 y (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) -1) (fma.f64 (log.f64 y) x (*.f64 (pow.f64 y 3) (fma.f64 2/27 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) (fma.f64 -1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) 5/27) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) 1/18))))) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (fma.f64 (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) 5/27)) (cbrt.f64 (/.f64 1 (*.f64 (log.f64 y) x))) (/.f64 2/27 (*.f64 (log.f64 y) x)))))))))) |
(fma.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)) (*.f64 -1/9 (cbrt.f64 (*.f64 (log.f64 y) x)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/18)) 1/9)) (fma.f64 y (neg.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18))) (fma.f64 (pow.f64 y 3) (fma.f64 2/27 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) (fma.f64 -1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) 5/27) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/18)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) 1/18))))) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) 5/27) (cbrt.f64 (/.f64 1 (*.f64 (log.f64 y) x)))) (/.f64 2/27 (*.f64 (log.f64 y) x)))))) (*.f64 (log.f64 y) x)))) |
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(*.f64 -1 (*.f64 (pow.f64 1 1/3) y)) |
(neg.f64 y) |
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(fma.f64 -1 y (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) (*.f64 (log.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) 1))) |
(-.f64 (*.f64 x (*.f64 (log.f64 y) (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))))) y) |
(fma.f64 x (*.f64 (log.f64 y) (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) (neg.f64 y)) |
(fma.f64 x (*.f64 (log.f64 y) (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) (cbrt.f64 (neg.f64 (cbrt.f64 -1))))) (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) y)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (log.f64 y) 2))))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 y) 1/3)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) y) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (log.f64 y) 2)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 y 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (log.f64 y))))) x))) |
(fma.f64 -1 y (fma.f64 (fma.f64 (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9)) (cbrt.f64 y) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/18) (pow.f64 (/.f64 1 y) 1/18)) (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) (*.f64 (log.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) 1)))) |
(-.f64 (fma.f64 x (*.f64 (log.f64 y) (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (*.f64 -1/9 (cbrt.f64 -1))) (cbrt.f64 y) (*.f64 1/9 (*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (/.f64 1 y) 1/18)) (pow.f64 (/.f64 1 y) 1/18)))))) y) |
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(-.f64 (*.f64 x (+.f64 (*.f64 (log.f64 y) (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) (cbrt.f64 (neg.f64 (cbrt.f64 -1))))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 y) 2) -1/9)) (*.f64 (cbrt.f64 -1) (cbrt.f64 y)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/18) (pow.f64 (/.f64 1 y) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 y) 2) 1/9))) x))) y) |
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(fma.f64 (fma.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 y)) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) -5/27))) (*.f64 (pow.f64 (log.f64 y) 3) (/.f64 2/27 y)))) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) -2/27 (fma.f64 1/3 (*.f64 (log.f64 y) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 y) 2) -1/9)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) -5/27))))) (pow.f64 x 3) (-.f64 (*.f64 x (+.f64 (*.f64 (log.f64 y) (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 y) 2) -1/9)) (*.f64 (cbrt.f64 -1) (cbrt.f64 y)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/18) (pow.f64 (/.f64 1 y) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 y) 2) 1/9))) x))) y)) |
(fma.f64 (fma.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 y)) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) -5/27))) (*.f64 (pow.f64 (log.f64 y) 3) (/.f64 2/27 y)))) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) -2/27 (fma.f64 1/3 (*.f64 (log.f64 y) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 y) 2) -1/9)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) -5/27))))) (pow.f64 x 3) (-.f64 (*.f64 x (+.f64 (*.f64 (log.f64 y) (*.f64 (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)) (cbrt.f64 (neg.f64 (cbrt.f64 -1))))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 y) 2) -1/9)) (*.f64 (cbrt.f64 -1) (cbrt.f64 y)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/18) (pow.f64 (/.f64 1 y) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (log.f64 y) 2) 1/9))) x))) y)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
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(fma.f64 -1/3 (*.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) (*.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))))) (*.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))))) (+.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (fma.f64 -1/9 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18))) (*.f64 -1/3 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))) 1/18))))))) |
(+.f64 (fma.f64 -1/3 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) 1/18))) (*.f64 -1/9 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18))))) (fma.f64 (*.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) 5/27)) (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) (cbrt.f64 (*.f64 (log.f64 y) x)))) |
(+.f64 (*.f64 y (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))) 1/18))) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18))) y))) (fma.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))) 5/27) (*.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))))) (cbrt.f64 (*.f64 (log.f64 y) x)))) |
(*.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 y)) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (log.f64 y) x))))) |
(fma.f64 (cbrt.f64 y) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (*.f64 (*.f64 (log.f64 y) x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) |
(fma.f64 1/3 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18))) (*.f64 (cbrt.f64 -1) (cbrt.f64 y))) |
(fma.f64 1/3 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 y))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (log.f64 y) x)))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (*.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 y) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (*.f64 (*.f64 (log.f64 y) x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) |
(fma.f64 -1/9 (*.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 1/3 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18))) (*.f64 (cbrt.f64 -1) (cbrt.f64 y)))) |
(fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) (fma.f64 1/3 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 y)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 7)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 y 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (log.f64 y) x))))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) 1/27)) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (*.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 y) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (*.f64 (*.f64 (log.f64 y) x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) -5/27) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (fma.f64 -1/9 (*.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 1/3 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18))) (*.f64 (cbrt.f64 -1) (cbrt.f64 y))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) -5/27)) (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) (fma.f64 1/3 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 y))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (cbrt.f64 x) (log.f64 y)) | |
| ✓ | 0.4b | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 0.5b | (cbrt.f64 x) | |
| ✓ | 31.1b | (cbrt.f64 (*.f64 x x)) |
Compiled 58 to 11 computations (81% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 2.0ms | y | @ | 0 | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 1.0ms | x | @ | -inf | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| 1× | batch-egg-rewrite |
| 732× | pow1_binary64 |
| 673× | add-log-exp_binary64 |
| 673× | log1p-expm1-u_binary64 |
| 673× | expm1-log1p-u_binary64 |
| 654× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 173 | 12 |
| 2 | 1950 | 12 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 x x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y)))))))) |
| 1× | egg-herbie |
| 839× | unsub-neg_binary64 |
| 666× | fma-neg_binary64 |
| 579× | distribute-rgt-in_binary64 |
| 511× | distribute-lft-in_binary64 |
| 475× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 172 |
| 1 | 44 | 172 |
| 2 | 99 | 172 |
| 3 | 209 | 172 |
| 4 | 443 | 172 |
| 5 | 1378 | 172 |
| 6 | 3012 | 172 |
| 7 | 3986 | 172 |
| 8 | 4179 | 172 |
| 9 | 4234 | 172 |
| 10 | 4252 | 172 |
| 11 | 5329 | 172 |
| 12 | 6534 | 172 |
| 13 | 7361 | 172 |
| 14 | 7599 | 172 |
| 15 | 7816 | 172 |
| 16 | 7920 | 172 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x))) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x))) |
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -1) (log.f64 y)) x)) |
(*.f64 (*.f64 (log.f64 y) (cbrt.f64 -1)) (neg.f64 x)) |
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (log.f64 y)))) |
(neg.f64 (*.f64 x (*.f64 (log.f64 y) (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x))) |
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -1) (log.f64 y)) x)) |
(*.f64 (*.f64 (log.f64 y) (cbrt.f64 -1)) (neg.f64 x)) |
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (log.f64 y)))) |
(neg.f64 (*.f64 x (*.f64 (log.f64 y) (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x))) |
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -1) (log.f64 y)) x)) |
(*.f64 (*.f64 (log.f64 y) (cbrt.f64 -1)) (neg.f64 x)) |
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (log.f64 y)))) |
(neg.f64 (*.f64 x (*.f64 (log.f64 y) (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x))) |
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -1) (log.f64 y)) x)) |
(*.f64 (*.f64 (log.f64 y) (cbrt.f64 -1)) (neg.f64 x)) |
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (log.f64 y)))) |
(neg.f64 (*.f64 x (*.f64 (log.f64 y) (cbrt.f64 -1)))) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
Compiled 8130 to 4386 computations (46.1% saved)
16 alts after pruning (6 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 369 | 2 | 371 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 9 | 10 |
| Total | 371 | 16 | 387 |
| Status | Error | Program |
|---|---|---|
| ✓ | 45.8b | (neg.f64 y) |
| ✓ | 40.2b | (neg.f64 z) |
| ✓ | 1.3b | (-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3)))) z) y) |
| 41.0b | (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) | |
| 53.4b | (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))) | |
| 53.3b | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) | |
| ✓ | 23.8b | (fma.f64 (log.f64 y) x (neg.f64 y)) |
| ✓ | 23.0b | (-.f64 (neg.f64 y) z) |
| ✓ | 17.3b | (-.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) z) y) |
| 40.6b | (*.f64 (log.f64 y) x) | |
| 58.6b | (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 3/2)) 2) | |
| ✓ | 17.6b | (-.f64 (*.f64 (log.f64 y) x) z) |
| ✓ | 23.8b | (-.f64 (*.f64 (log.f64 y) x) y) |
| ✓ | 0.4b | (-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) z) y) |
| ✓ | 0.2b | (fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
| 31.8b | (-.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z) y) |
Compiled 195 to 128 computations (34.4% saved)
| Inputs |
|---|
(neg.f64 z) |
(neg.f64 y) |
(neg.f64 z) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 y) z) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 2) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) 3) |
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) z) y) |
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y) |
(-.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z) y) |
(-.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y))) z) y) |
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) 3/2)) 2) |
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (-.f64 (*.f64 x (log.f64 y)) z)) |
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (neg.f64 z) y)) |
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2)) 2) z) y) |
(-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) z) y) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (neg.f64 z) y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (neg.f64 z) y)) |
(-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3)))) z) y) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (*.f64 z z)) (/.f64 1 (fma.f64 x (log.f64 y) z)) (neg.f64 y)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (neg.f64 z) y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3))) (-.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) y))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) y)))) |
| Outputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
4 calls:
| 163.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 52.0ms | y |
| 20.0ms | x |
| 19.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 365 to 123 computations (66.3% saved)
| Inputs |
|---|
(neg.f64 z) |
(neg.f64 y) |
(neg.f64 z) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 y) z) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
4 calls:
| 8.0ms | y |
| 7.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 7.0ms | z |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 84 to 30 computations (64.3% saved)
| Inputs |
|---|
(neg.f64 z) |
(neg.f64 y) |
(neg.f64 z) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 y) z) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (neg.f64 y) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
3 calls:
| 32.0ms | z |
| 31.0ms | x |
| 20.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 3.9b | 5 | x |
| 8.2b | 2 | y |
| 6.7b | 3 | z |
Compiled 59 to 19 computations (67.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 2.2409318134142352e-11 | 5.4316683679789e-8 |
| 32.0ms | -4.576675431855361e+38 | -1.0293559733241395e+33 |
| 28.0ms | -3.9320526182820556e+55 | -1.5304045602324336e+41 |
| 24.0ms | -4.897597566761816e+126 | -5.492265402709763e+122 |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(neg.f64 z) |
(neg.f64 y) |
(neg.f64 z) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 y) z) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (neg.f64 y) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
3 calls:
| 111.0ms | z |
| 48.0ms | x |
| 24.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 4.9b | 3 | x |
| 8.2b | 2 | y |
| 12.3b | 7 | z |
Compiled 53 to 18 computations (66% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 2.2409318134142352e-11 | 5.4316683679789e-8 |
| 170.0ms | -4.576675431855361e+38 | -1.0293559733241395e+33 |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(neg.f64 z) |
(neg.f64 y) |
(neg.f64 z) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 y) z) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(-.f64 (neg.f64 y) z) |
(*.f64 (log.f64 y) x) |
3 calls:
| 52.0ms | y |
| 51.0ms | z |
| 33.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.4b | 3 | x |
| 20.1b | 5 | y |
| 15.2b | 5 | z |
Compiled 41 to 17 computations (58.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 8.119936313382802e+155 | 4.0052219135404625e+158 |
| 39.0ms | -8.003814958431991e+58 | -1.655212819879148e+58 |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(neg.f64 z) |
(neg.f64 y) |
(neg.f64 z) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 y) z) |
| Outputs |
|---|
(-.f64 (neg.f64 y) z) |
3 calls:
| 8.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 23.0b | 1 | x |
| 23.0b | 1 | y |
| 23.0b | 1 | z |
Compiled 29 to 15 computations (48.3% saved)
Total -33.2b remaining (-113.6%)
Threshold costs -33.2b (-113.6%)
| Inputs |
|---|
(neg.f64 z) |
(neg.f64 y) |
(neg.f64 z) |
| Outputs |
|---|
(neg.f64 z) |
(neg.f64 y) |
(neg.f64 z) |
3 calls:
| 82.0ms | x |
| 44.0ms | y |
| 15.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 35.0b | 7 | x |
| 30.9b | 2 | y |
| 29.2b | 3 | z |
Compiled 21 to 14 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.183362055643945e-61 | 5.709136958955834e-51 |
| 23.0ms | -3.597000426817767e+37 | -1.845915611901997e+37 |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 9× | sub-neg_binary64 |
| 8× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 186 |
| 1 | 55 | 186 |
| 2 | 67 | 186 |
| 3 | 73 | 186 |
| 4 | 75 | 186 |
| 5 | 76 | 186 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(if (<=.f64 x -4897597566761816281949987538924470614971238373829661155473619900851657231542482930488115793755238701258455198951673239124836352) (-.f64 (*.f64 (log.f64 y) x) z) (if (<=.f64 x -39320526182820555890471977591697825934530961611025285120) (-.f64 (*.f64 (log.f64 y) x) y) (if (<=.f64 x -457667543185536102395969773574371147776) (-.f64 (*.f64 (log.f64 y) x) z) (if (<=.f64 x 1733837010708673/77371252455336267181195264) (-.f64 (neg.f64 y) z) (-.f64 (*.f64 (log.f64 y) x) z))))) |
(if (<=.f64 x -457667543185536102395969773574371147776) (-.f64 (*.f64 (log.f64 y) x) z) (if (<=.f64 x 1733837010708673/77371252455336267181195264) (-.f64 (neg.f64 y) z) (-.f64 (*.f64 (log.f64 y) x) z))) |
(if (<=.f64 x -80038149584319909070324851672920162499351350200315708178432) (*.f64 (log.f64 y) x) (if (<=.f64 x 811993631338280234994837064239636017936811724810178749480155079850094002290721432465141325738615141635658148786368592259729701334970125991519719318024617984) (-.f64 (neg.f64 y) z) (*.f64 (log.f64 y) x))) |
(-.f64 (neg.f64 y) z) |
(if (<=.f64 z -35970004268177671863705450989699989504) (neg.f64 z) (if (<=.f64 z 6055002905739077/14474011154664524427946373126085988481658748083205070504932198000989141204992) (neg.f64 y) (neg.f64 z))) |
(neg.f64 z) |
| Outputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(if (<=.f64 x -4897597566761816281949987538924470614971238373829661155473619900851657231542482930488115793755238701258455198951673239124836352) (-.f64 (*.f64 (log.f64 y) x) z) (if (<=.f64 x -39320526182820555890471977591697825934530961611025285120) (-.f64 (*.f64 (log.f64 y) x) y) (if (<=.f64 x -457667543185536102395969773574371147776) (-.f64 (*.f64 (log.f64 y) x) z) (if (<=.f64 x 1733837010708673/77371252455336267181195264) (-.f64 (neg.f64 y) z) (-.f64 (*.f64 (log.f64 y) x) z))))) |
(if (<=.f64 x -4897597566761816281949987538924470614971238373829661155473619900851657231542482930488115793755238701258455198951673239124836352) (-.f64 (*.f64 (log.f64 y) x) z) (if (<=.f64 x -39320526182820555890471977591697825934530961611025285120) (-.f64 (*.f64 (log.f64 y) x) y) (if (<=.f64 x -457667543185536102395969773574371147776) (-.f64 (*.f64 (log.f64 y) x) z) (if (<=.f64 x 1733837010708673/77371252455336267181195264) (-.f64 (neg.f64 z) y) (-.f64 (*.f64 (log.f64 y) x) z))))) |
(if (<=.f64 x -457667543185536102395969773574371147776) (-.f64 (*.f64 (log.f64 y) x) z) (if (<=.f64 x 1733837010708673/77371252455336267181195264) (-.f64 (neg.f64 y) z) (-.f64 (*.f64 (log.f64 y) x) z))) |
(if (<=.f64 x -457667543185536102395969773574371147776) (-.f64 (*.f64 (log.f64 y) x) z) (if (<=.f64 x 1733837010708673/77371252455336267181195264) (-.f64 (neg.f64 z) y) (-.f64 (*.f64 (log.f64 y) x) z))) |
(if (<=.f64 x -80038149584319909070324851672920162499351350200315708178432) (*.f64 (log.f64 y) x) (if (<=.f64 x 811993631338280234994837064239636017936811724810178749480155079850094002290721432465141325738615141635658148786368592259729701334970125991519719318024617984) (-.f64 (neg.f64 y) z) (*.f64 (log.f64 y) x))) |
(if (<=.f64 x -80038149584319909070324851672920162499351350200315708178432) (*.f64 (log.f64 y) x) (if (<=.f64 x 811993631338280234994837064239636017936811724810178749480155079850094002290721432465141325738615141635658148786368592259729701334970125991519719318024617984) (-.f64 (neg.f64 z) y) (*.f64 (log.f64 y) x))) |
(-.f64 (neg.f64 y) z) |
(-.f64 (neg.f64 z) y) |
(if (<=.f64 z -35970004268177671863705450989699989504) (neg.f64 z) (if (<=.f64 z 6055002905739077/14474011154664524427946373126085988481658748083205070504932198000989141204992) (neg.f64 y) (neg.f64 z))) |
(neg.f64 z) |
Compiled 148 to 82 computations (44.6% saved)
Compiled 127 to 42 computations (66.9% saved)
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