Time bar (total: 3.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 1.6% | 98.2% | 0.2% | 10 |
| 2.3% | 97.5% | 0.2% | 11 |
| 3.9% | 95.9% | 0.2% | 12 |
| 17.1% | 82.4% | 0.6% | 13 |
| 21.9% | 77.4% | 0.6% | 14 |
Compiled 14 to 9 computations (35.7% saved)
| 1.0s | 8256× | body | 128 | valid |
| 188.0ms | 1616× | body | 128 | invalid |
| 2× | egg-herbie |
| 541× | associate-/l*_binary64 |
| 504× | associate-/l/_binary64 |
| 483× | associate-/r/_binary64 |
| 470× | cube-div_binary64 |
| 440× | swap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 91 |
| 1 | 84 | 70 |
| 2 | 240 | 49 |
| 3 | 579 | 49 |
| 4 | 4108 | 49 |
| 5 | 4182 | 49 |
| 6 | 4820 | 49 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| 1× | unsound |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
3 |
| Inputs |
|---|
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
(*.f64 y (/.f64 (*.f64 (/.f64 x z) t) t)) |
(*.f64 z (/.f64 (*.f64 (/.f64 y x) t) t)) |
(*.f64 t (/.f64 (*.f64 (/.f64 y z) x) x)) |
(*.f64 x (/.f64 (*.f64 (/.f64 z y) t) t)) |
(*.f64 x (/.f64 (*.f64 (/.f64 t z) y) y)) |
(*.f64 x (/.f64 (*.f64 (/.f64 y t) z) z)) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
(*.f64 x (/.f64 (/.f64 y z) (/.f64 t t))) |
(*.f64 x (/.f64 (/.f64 y z) 1)) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 (*.f64 (/.f64 x z) t) t)) |
(*.f64 x (/.f64 (/.f64 y z) (/.f64 t t))) |
(*.f64 x (/.f64 (/.f64 y z) 1)) |
(*.f64 x (/.f64 y z)) |
(*.f64 z (/.f64 (*.f64 (/.f64 y x) t) t)) |
(*.f64 z (/.f64 (/.f64 y x) (/.f64 t t))) |
(*.f64 z (/.f64 (/.f64 y x) 1)) |
(*.f64 z (/.f64 y x)) |
(/.f64 z (/.f64 x y)) |
(*.f64 t (/.f64 (*.f64 (/.f64 y z) x) x)) |
(*.f64 t (/.f64 (/.f64 y z) (/.f64 x x))) |
(*.f64 t (/.f64 (/.f64 y z) 1)) |
(*.f64 y (/.f64 t z)) |
(/.f64 (*.f64 y t) z) |
(*.f64 x (/.f64 (*.f64 (/.f64 z y) t) t)) |
(/.f64 (*.f64 x (*.f64 t (/.f64 z y))) t) |
(/.f64 (*.f64 x (/.f64 z y)) 1) |
(*.f64 x (/.f64 z y)) |
(*.f64 x (/.f64 (*.f64 (/.f64 t z) y) y)) |
(*.f64 x (/.f64 (/.f64 t z) (/.f64 y y))) |
(/.f64 (*.f64 x (/.f64 t z)) 1) |
(*.f64 x (/.f64 t z)) |
(*.f64 x (/.f64 (*.f64 (/.f64 y t) z) z)) |
(*.f64 x (/.f64 (/.f64 y t) (/.f64 z z))) |
(*.f64 x (/.f64 y (*.f64 1 t))) |
(*.f64 x (/.f64 y t)) |
(sort x y)
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
| 1339× | associate-/l/_binary64 |
| 968× | associate-/r/_binary64 |
| 266× | times-frac_binary64 |
| 246× | *-commutative_binary64 |
| 209× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 17 | 10 |
| 2 | 43 | 7 |
| 3 | 104 | 7 |
| 4 | 455 | 7 |
| 5 | 2278 | 7 |
| 6 | 2464 | 7 |
| 7 | 2477 | 7 |
| 8 | 2490 | 7 |
| 9 | 2497 | 7 |
| 10 | 2504 | 7 |
| 11 | 2511 | 7 |
| 12 | 2518 | 7 |
| 13 | 2525 | 7 |
| 14 | 2532 | 7 |
| 15 | 2539 | 7 |
| 16 | 2546 | 7 |
| 17 | 2553 | 7 |
| 18 | 2560 | 7 |
| 19 | 2567 | 7 |
| 20 | 2574 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
(*.f64 x (/.f64 (/.f64 y z) (/.f64 t t))) |
(/.f64 (*.f64 (/.f64 y z) x) 1) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 x (/.f64 z y)) |
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 |
|---|---|---|
| ▶ | 7.3b | (/.f64 x (/.f64 z y)) |
| 16.1b | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
Compiled 62 to 38 computations (38.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 7.0b | (/.f64 x (/.f64 z y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (/.f64 x (/.f64 z y)) |
| 1.0ms | x | @ | 0 | (/.f64 x (/.f64 z y)) |
| 1.0ms | y | @ | inf | (/.f64 x (/.f64 z y)) |
| 1.0ms | z | @ | 0 | (/.f64 x (/.f64 z y)) |
| 1.0ms | y | @ | 0 | (/.f64 x (/.f64 z y)) |
| 1× | batch-egg-rewrite |
| 780× | pow1_binary64 |
| 724× | log1p-expm1-u_binary64 |
| 724× | expm1-log1p-u_binary64 |
| 69× | *-un-lft-identity_binary64 |
| 69× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 131 | 7 |
| 2 | 1915 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 x (cbrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 13 | 252 |
| 3 | 16 | 252 |
| 4 | 17 | 252 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
| Outputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 6 | 44 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 38 | 8 | 46 |
| Status | Error | Program |
|---|---|---|
| ▶ | 6.1b | (*.f64 y (/.f64 x z)) |
| ✓ | 7.3b | (/.f64 x (/.f64 z y)) |
| 8.8b | (pow.f64 (/.f64 z (*.f64 x y)) -1) | |
| 19.5b | (*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y)) | |
| 35.2b | (*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y)))) | |
| 8.5b | (*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y))) | |
| 8.4b | (/.f64 (*.f64 y x) z) | |
| 16.1b | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
Compiled 599 to 279 computations (53.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.9b | (*.f64 y (/.f64 x z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (*.f64 y (/.f64 x z)) |
| 0.0ms | y | @ | 0 | (*.f64 y (/.f64 x z)) |
| 0.0ms | x | @ | inf | (*.f64 y (/.f64 x z)) |
| 0.0ms | x | @ | -inf | (*.f64 y (/.f64 x z)) |
| 0.0ms | y | @ | inf | (*.f64 y (/.f64 x z)) |
| 1× | batch-egg-rewrite |
| 681× | pow1_binary64 |
| 628× | add-log-exp_binary64 |
| 628× | log1p-expm1-u_binary64 |
| 628× | expm1-log1p-u_binary64 |
| 65× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 125 | 7 |
| 2 | 1672 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (/.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 z x)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 13 | 252 |
| 3 | 16 | 252 |
| 4 | 17 | 252 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
| Outputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 1 | 24 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 25 | 7 | 32 |
| Status | Error | Program |
|---|---|---|
| ✓ | 6.1b | (*.f64 y (/.f64 x z)) |
| ✓ | 7.3b | (/.f64 x (/.f64 z y)) |
| 19.5b | (*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y)) | |
| ▶ | 5.9b | (/.f64 y (/.f64 z x)) |
| 8.5b | (*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y))) | |
| 8.4b | (/.f64 (*.f64 y x) z) | |
| 16.1b | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
Compiled 320 to 165 computations (48.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.7b | (/.f64 y (/.f64 z x)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y (/.f64 z x)) |
| 0.0ms | z | @ | -inf | (/.f64 y (/.f64 z x)) |
| 0.0ms | z | @ | inf | (/.f64 y (/.f64 z x)) |
| 0.0ms | y | @ | -inf | (/.f64 y (/.f64 z x)) |
| 0.0ms | x | @ | inf | (/.f64 y (/.f64 z x)) |
| 1× | batch-egg-rewrite |
| 780× | pow1_binary64 |
| 724× | log1p-expm1-u_binary64 |
| 724× | expm1-log1p-u_binary64 |
| 69× | *-un-lft-identity_binary64 |
| 69× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 131 | 7 |
| 2 | 1915 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2)) (cbrt.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (/.f64 y (cbrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (cbrt.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 z x))) (/.f64 y (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 z x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 13 | 252 |
| 3 | 16 | 252 |
| 4 | 17 | 252 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
| Outputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 0 | 44 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 44 | 7 | 51 |
| Status | Error | Program |
|---|---|---|
| ✓ | 6.1b | (*.f64 y (/.f64 x z)) |
| ✓ | 7.3b | (/.f64 x (/.f64 z y)) |
| 19.5b | (*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y)) | |
| ✓ | 5.9b | (/.f64 y (/.f64 z x)) |
| 8.5b | (*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y))) | |
| ▶ | 8.4b | (/.f64 (*.f64 y x) z) |
| 16.1b | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
Compiled 543 to 242 computations (55.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 8.2b | (/.f64 (*.f64 y x) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (*.f64 y x) z) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 y x) z) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 y x) z) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y x) z) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 y x) z) |
| 1× | batch-egg-rewrite |
| 712× | pow1_binary64 |
| 659× | add-log-exp_binary64 |
| 659× | log1p-expm1-u_binary64 |
| 659× | expm1-log1p-u_binary64 |
| 65× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 125 | 7 |
| 2 | 1731 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 2)) (cbrt.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y z) x))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 1 | 42 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 43 | 6 | 49 |
| Status | Error | Program |
|---|---|---|
| 6.2b | (*.f64 y (*.f64 x (/.f64 1 z))) | |
| ✓ | 8.4b | (/.f64 (*.f64 y x) z) |
| ✓ | 5.9b | (/.f64 y (/.f64 z x)) |
| 8.5b | (*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y))) | |
| ✓ | 7.3b | (/.f64 x (/.f64 z y)) |
| 16.1b | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
Compiled 478 to 202 computations (57.7% saved)
Total -25.2b remaining (-5973.1%)
Threshold costs -25.2b (-5973.1%)
Compiled 210 to 107 computations (49% saved)
| 4× | left-value |
4 calls:
| 0.0ms | (/.f64 y z) |
| 0.0ms | (/.f64 y z) |
| 0.0ms | (/.f64 y z) |
| 0.0ms | (/.f64 y z) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
2e+261 | ∈ [ | 1.0865468515513847e+261 | , | 1.0216225664219721e+263 | ] | |
2e-258 | ∈ [ | 1.8045800193130608e-258 | , | 3.620263549946779e-257 | ] | |
-1e-153 | ∈ [ | -1.4155204740863057e-153 | , | -2.427620116008641e-157 | ] | |
#hash((type . real) (value . -inf)) | ∈ [ | #hash((type . real) (value . -inf)) | , | -1.9070084319829682e+291 | ] | |
Compiled 20 to 14 computations (30% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 74 |
| 1 | 32 | 74 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 y z) -inf.0) (pow.f64 (/.f64 z (*.f64 x y)) -1) (if (<=.f64 (/.f64 y z) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (*.f64 (/.f64 y z) x) (if (<=.f64 (/.f64 y z) 8655577598126739/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (/.f64 y (/.f64 z x)) (if (<=.f64 (/.f64 y z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z)))))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 y z) -inf.0) (pow.f64 (/.f64 z (*.f64 x y)) -1) (if (<=.f64 (/.f64 y z) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (*.f64 (/.f64 y z) x) (if (<=.f64 (/.f64 y z) 8655577598126739/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (/.f64 y (/.f64 z x)) (if (<=.f64 (/.f64 y z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z)))))) |
(if (<=.f64 (/.f64 y z) -inf.0) (pow.f64 (/.f64 z (*.f64 y x)) -1) (if (<=.f64 (/.f64 y z) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (*.f64 (/.f64 y z) x) (if (<=.f64 (/.f64 y z) 8655577598126739/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (/.f64 y (/.f64 z x)) (if (<=.f64 (/.f64 y z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z)))))) |
| 1× | fuel |
Compiled 260 to 126 computations (51.5% saved)
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