Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 12.5% | 9.4% | 65.5% | 0.1% | 0% | 25% | 0% | 6 |
| 18.8% | 14% | 60.8% | 0.1% | 0% | 25% | 0% | 7 |
| 20% | 14% | 56.2% | 0.1% | 4.7% | 25% | 0% | 8 |
| 27.7% | 14% | 36.7% | 0.1% | 11.7% | 37.4% | 0% | 9 |
| 32.8% | 14.8% | 30.4% | 0.1% | 17.2% | 37.4% | 0% | 10 |
| 35.4% | 15.5% | 28.3% | 0.1% | 18.6% | 37.4% | 0% | 11 |
| 47.3% | 16.4% | 18.3% | 0.1% | 21.4% | 43.7% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.4s | 8256× | body | 256 | valid |
| 564.0ms | 3068× | body | 256 | infinite |
| 357.0ms | 2517× | body | 256 | invalid |
| 2× | egg-herbie |
| 818× | unswap-sqr_binary64 |
| 576× | times-frac_binary64 |
| 387× | associate-*l*_binary64 |
| 364× | associate-*r*_binary64 |
| 352× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 56 |
| 1 | 55 | 48 |
| 2 | 133 | 48 |
| 3 | 299 | 48 |
| 4 | 540 | 48 |
| 5 | 1226 | 48 |
| 6 | 5004 | 48 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z)) |
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x)) |
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) |
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z)) |
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z)) |
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) z) x)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y)) |
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y)) |
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y))) |
(/.f64 (pow.f64 z z) (exp.f64 (-.f64 y x))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 508× | unswap-sqr_binary64 |
| 478× | associate-/l/_binary64 |
| 408× | associate-/r/_binary64 |
| 362× | fma-neg_binary64 |
| 337× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 18 | 12 |
| 2 | 41 | 12 |
| 3 | 89 | 12 |
| 4 | 157 | 12 |
| 5 | 313 | 12 |
| 6 | 968 | 12 |
| 7 | 2560 | 12 |
| 8 | 5278 | 12 |
| 9 | 5976 | 12 |
| 10 | 7425 | 12 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
Compiled 20 to 12 computations (40% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.5b | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| ▶ | 0b | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
Compiled 23 to 15 computations (34.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (log.f64 y))) |
| ✓ | 0.3b | (*.f64 y (log.f64 y)) |
Compiled 35 to 8 computations (77.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | y | @ | 0 | (*.f64 y (log.f64 y)) |
| 19.0ms | y | @ | -inf | (*.f64 y (log.f64 y)) |
| 10.0ms | y | @ | inf | (*.f64 y (log.f64 y)) |
| 4.0ms | x | @ | 0 | (+.f64 x (*.f64 y (log.f64 y))) |
| 1.0ms | z | @ | 0 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 1× | batch-egg-rewrite |
| 505× | fma-def_binary64 |
| 456× | log-prod_binary64 |
| 346× | pow-prod-down_binary64 |
| 339× | exp-prod_binary64 |
| 251× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 178 | 23 |
| 2 | 2682 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (log.f64 y)) |
(+.f64 x (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 y y)))) 2)) (cbrt.f64 (log.f64 (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 y y))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 y y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 (pow.f64 y y)))) (/.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 x (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (/.f64 1 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 (*.f64 x x) (*.f64 (log.f64 (pow.f64 y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3))) (neg.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (neg.f64 (-.f64 x (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 x x)) (-.f64 (log.f64 (pow.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (log.f64 y) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (log.f64 y) x)))) (sqrt.f64 (log.f64 (fma.f64 y (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (log.f64 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (pow.f64 y y)) 1 x)))) (#(struct:change #<rule egg-rr> 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(pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (log.f64 (pow.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (log.f64 y) (+.f64 x z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (/.f64 1 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (/.f64 1 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) (+.f64 x z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) (+.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y (log.f64 y) (+.f64 x z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z)))))) |
| 1× | egg-herbie |
| 3773× | fma-def_binary64 |
| 632× | distribute-rgt-in_binary64 |
| 547× | unsub-neg_binary64 |
| 479× | distribute-lft-in_binary64 |
| 463× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 557 |
| 1 | 66 | 557 |
| 2 | 129 | 505 |
| 3 | 330 | 505 |
| 4 | 763 | 505 |
| 5 | 1594 | 505 |
| 6 | 3953 | 505 |
| 7 | 4593 | 505 |
| 8 | 4862 | 505 |
| 9 | 4937 | 505 |
| 10 | 4964 | 505 |
| 11 | 4969 | 505 |
| 12 | 5153 | 505 |
| 13 | 6266 | 505 |
| 14 | 6600 | 505 |
| 15 | 6688 | 505 |
| 16 | 6730 | 505 |
| 17 | 6750 | 505 |
| 18 | 6988 | 505 |
| 19 | 7124 | 505 |
| 20 | 7160 | 505 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(-.f64 (*.f64 y (log.f64 y)) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 x z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 y (log.f64 y)) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(fma.f64 y (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(fma.f64 y (log.f64 y) x) |
(-.f64 (*.f64 y (log.f64 y)) z) |
(fma.f64 y (log.f64 y) (neg.f64 z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 x z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (neg.f64 (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
Compiled 24 to 7 computations (70.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | z | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 6.0ms | x | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1.0ms | y | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1.0ms | z | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1× | batch-egg-rewrite |
| 487× | prod-diff_binary64 |
| 458× | log-prod_binary64 |
| 273× | pow-prod-down_binary64 |
| 248× | pow2_binary64 |
| 198× | pow-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 177 | 12 |
| 2 | 2506 | 12 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (-.f64 z x))) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) y) (*.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 (neg.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) 1) (/.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) -2) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) 2)) (/.f64 (pow.f64 (sqrt.f64 y) y) (cbrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 z x)) -1/2) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 (-.f64 z x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 (-.f64 z x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (-.f64 z x) (*.f64 y (log.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 y (log.f64 y) (neg.f64 (-.f64 z x))) 1) 1)))))) |
| 1× | egg-herbie |
| 483× | fma-def_binary64 |
| 452× | associate-*l*_binary64 |
| 449× | associate-*r*_binary64 |
| 315× | unsub-neg_binary64 |
| 276× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 606 |
| 1 | 292 | 560 |
| 2 | 1083 | 458 |
| 3 | 6624 | 456 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (exp.f64 (-.f64 z x))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (-.f64 z x))))))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z))))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2)))))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
| Outputs |
|---|
(/.f64 1 (exp.f64 (-.f64 z x))) |
(exp.f64 (neg.f64 (-.f64 z x))) |
(exp.f64 (-.f64 x z)) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) |
(fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z))) |
(fma.f64 (*.f64 y (exp.f64 (-.f64 x z))) (log.f64 y) (exp.f64 (-.f64 x z))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 (log.f64 y) 2))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 (-.f64 z x))) (pow.f64 (log.f64 y) 2)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 (*.f64 y y) (exp.f64 (-.f64 z x)))) (fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z)))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z)))) (fma.f64 (*.f64 y (exp.f64 (-.f64 x z))) (log.f64 y) (exp.f64 (-.f64 x z)))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (-.f64 z x))))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 (log.f64 y) 2))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (-.f64 z x)))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 (-.f64 z x))) (pow.f64 (log.f64 y) 2)) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (exp.f64 (-.f64 z x))) (pow.f64 (log.f64 y) 3)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))))) |
(+.f64 (fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 (*.f64 y y) (exp.f64 (-.f64 z x)))) (/.f64 1/6 (/.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 (log.f64 y) 3)) (pow.f64 y 3))))) |
(+.f64 (fma.f64 (*.f64 y (exp.f64 (-.f64 x z))) (log.f64 y) (exp.f64 (-.f64 x z))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z)))) (*.f64 (*.f64 (pow.f64 y 3) (*.f64 1/6 (pow.f64 (log.f64 y) 3))) (exp.f64 (-.f64 x z))))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) |
(fma.f64 -1 (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 x) (-.f64 (pow.f64 y y) (*.f64 z (pow.f64 y y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) |
(fma.f64 -1 (*.f64 (/.f64 (*.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 z z)) (fma.f64 -1 (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) |
(fma.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 z z) (-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))))) |
(-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 (*.f64 z z) -1/2) z))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) |
(fma.f64 -1 (*.f64 (/.f64 (*.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 z z)) (fma.f64 -1 (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))) (fma.f64 -1 (*.f64 (pow.f64 z 3) (fma.f64 -1 (/.f64 (*.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) -1/3))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) |
(fma.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 z z) (-.f64 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 z 3) (fma.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) -1/3 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))))) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))))) |
(-.f64 (-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 y y)) (exp.f64 x)))) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 (*.f64 z z) -1/2) z))) |
(-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 (*.f64 z z) -1/2) z)) (*.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 y y)) (exp.f64 x))))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) |
(fma.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) x (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) (neg.f64 (*.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -1/2) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x)) (*.f64 x (*.f64 x (/.f64 (*.f64 (pow.f64 y y) -1/2) (exp.f64 z)))))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (*.f64 -1/2 (*.f64 x x))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z))))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2)))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -7/6)) (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) (neg.f64 (*.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -1/2) (*.f64 x x))))) |
(+.f64 (-.f64 (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x)) (*.f64 x (*.f64 x (/.f64 (*.f64 (pow.f64 y y) -1/2) (exp.f64 z))))) (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -7/6 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 3) (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (*.f64 -1/2 (*.f64 x x)))) (*.f64 (*.f64 (/.f64 -1/6 (exp.f64 z)) (pow.f64 y y)) (pow.f64 x 3)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (*.f64 -1/2 (*.f64 x x)))) (fma.f64 (pow.f64 x 3) (/.f64 1/6 (/.f64 (exp.f64 z) (pow.f64 y y))) (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
Compiled 5129 to 1708 computations (66.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 3 | 314 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 313 | 3 | 316 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.0b | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| ▶ | 1.0b | (exp.f64 (-.f64 x z)) |
| ▶ | 22.0b | (exp.f64 (neg.f64 z)) |
Compiled 22 to 16 computations (27.3% saved)
Compiled 9 to 5 computations (44.4% saved)
Compiled 12 to 5 computations (58.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (pow.f64 y y) (exp.f64 z)) |
Compiled 16 to 6 computations (62.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1.0ms | y | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1.0ms | z | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1.0ms | z | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1.0ms | y | @ | -inf | (/.f64 (pow.f64 y y) (exp.f64 z)) |
| 1× | batch-egg-rewrite |
| 657× | pow1_binary64 |
| 608× | add-log-exp_binary64 |
| 608× | log1p-expm1-u_binary64 |
| 608× | expm1-log1p-u_binary64 |
| 592× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 125 | 9 |
| 2 | 1639 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y y) (exp.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y)) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y)) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y)) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))))) |
| 1× | egg-herbie |
| 372× | fma-def_binary64 |
| 359× | associate-/l*_binary64 |
| 351× | distribute-rgt-out_binary64 |
| 321× | associate-/r*_binary64 |
| 270× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 223 |
| 1 | 170 | 210 |
| 2 | 568 | 186 |
| 3 | 3416 | 178 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (exp.f64 z)) |
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))) |
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))) |
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))) |
(pow.f64 y y) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y)))) (+.f64 (*.f64 -1/2 (pow.f64 y y)) (*.f64 1/6 (pow.f64 y y)))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y)))) |
| Outputs |
|---|
(/.f64 1 (exp.f64 z)) |
(exp.f64 (neg.f64 z)) |
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))) |
(+.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))) |
(+.f64 (exp.f64 (neg.f64 z)) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y))) |
(fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))) |
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 y (/.f64 (exp.f64 z) y))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (/.f64 y (exp.f64 z)) y)) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))) |
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))) |
(+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (exp.f64 z)) (pow.f64 (log.f64 y) 3)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 z)) (pow.f64 (log.f64 y) 2)) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (log.f64 y) 3) (exp.f64 z)) (pow.f64 y 3)) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 y (/.f64 (exp.f64 z) y))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))))) |
(fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 y 3) (exp.f64 z))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (/.f64 y (exp.f64 z)) y)) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))))) |
(pow.f64 y y) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y)) |
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (pow.f64 y y)) |
(-.f64 (pow.f64 y y) (*.f64 z (pow.f64 y y))) |
(*.f64 (+.f64 (neg.f64 z) 1) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (-.f64 1 z)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y))) |
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 z z)) (pow.f64 y y))) |
(-.f64 (fma.f64 (*.f64 1/2 (pow.f64 y y)) (*.f64 z z) (pow.f64 y y)) (*.f64 z (pow.f64 y y))) |
(-.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (+.f64 z (*.f64 z (*.f64 z -1/2))))) |
(*.f64 (pow.f64 y y) (-.f64 1 (+.f64 z (*.f64 z (*.f64 z -1/2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y)))) (+.f64 (*.f64 -1/2 (pow.f64 y y)) (*.f64 1/6 (pow.f64 y y)))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y)))) |
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (pow.f64 y y) -1/2) (*.f64 (pow.f64 y y) -1/3)) (pow.f64 z 3)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 z z)) (pow.f64 y y)))) |
(-.f64 (-.f64 (fma.f64 (*.f64 1/2 (pow.f64 y y)) (*.f64 z z) (pow.f64 y y)) (*.f64 (fma.f64 (pow.f64 y y) -1/3 (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 3))) (*.f64 z (pow.f64 y y))) |
(fma.f64 (pow.f64 z 3) (*.f64 (pow.f64 y y) -1/6) (-.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (+.f64 z (*.f64 z (*.f64 z -1/2)))))) |
(fma.f64 (pow.f64 z 3) (*.f64 (pow.f64 y y) -1/6) (*.f64 (pow.f64 y y) (-.f64 1 (+.f64 z (*.f64 z (*.f64 z -1/2)))))) |
Compiled 658 to 243 computations (63.1% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 1 | 46 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 46 | 3 | 49 |
| Status | Error | Program |
|---|---|---|
| ▶ | 44.2b | (pow.f64 y y) |
| ✓ | 1.0b | (exp.f64 (-.f64 x z)) |
| ✓ | 22.0b | (exp.f64 (neg.f64 z)) |
Compiled 19 to 14 computations (26.3% saved)
Compiled 7 to 4 computations (42.9% saved)
Compiled 3 to 3 computations (0% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 44.2b | (pow.f64 y y) |
| ✓ | 1.0b | (exp.f64 (-.f64 x z)) |
| ✓ | 22.0b | (exp.f64 (neg.f64 z)) |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(pow.f64 y y) |
(exp.f64 (neg.f64 z)) |
(exp.f64 (-.f64 x z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
7 calls:
| 10.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 5.0ms | (*.f64 y (log.f64 y)) |
| 5.0ms | y |
| 5.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | z |
| 0b | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 0b | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 0b | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 0b | 1 | (*.f64 y (log.f64 y)) |
Compiled 87 to 53 computations (39.1% saved)
| Inputs |
|---|
(pow.f64 y y) |
(exp.f64 (neg.f64 z)) |
(exp.f64 (-.f64 x z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| Outputs |
|---|
(exp.f64 (-.f64 x z)) |
3 calls:
| 6.0ms | z |
| 6.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | x |
| 1.0b | 1 | y |
| 1.0b | 1 | z |
Compiled 39 to 22 computations (43.6% saved)
Total -23.2b remaining (-105.6%)
Threshold costs -23.2b (-105.6%)
| Inputs |
|---|
(pow.f64 y y) |
(exp.f64 (neg.f64 z)) |
| Outputs |
|---|
(exp.f64 (neg.f64 z)) |
3 calls:
| 5.0ms | y |
| 4.0ms | z |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.0b | 1 | x |
| 22.0b | 1 | y |
| 22.0b | 1 | z |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 29 |
| 1 | 22 | 29 |
| 2 | 26 | 29 |
| 3 | 27 | 29 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (neg.f64 z)) |
(pow.f64 y y) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 x z)) |
(exp.f64 (neg.f64 z)) |
(pow.f64 y y) |
Compiled 31 to 22 computations (29% saved)
Compiled 22 to 13 computations (40.9% saved)
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