Time bar (total: 1.4s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 9 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 10 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 11 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 6 computations (25% saved)
| 781.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 112× | fma-neg_binary64 |
| 52× | fma-def_binary64 |
| 40× | cancel-sign-sub-inv_binary64 |
| 24× | sub-neg_binary64 |
| 14× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 12 | 14 |
| 2 | 24 | 14 |
| 3 | 42 | 14 |
| 4 | 68 | 14 |
| 5 | 114 | 10 |
| 6 | 186 | 10 |
| 7 | 324 | 10 |
| 8 | 457 | 10 |
| 9 | 503 | 10 |
| 10 | 505 | 10 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 x (/.f64 y 200)) |
(-.f64 y (/.f64 x 200)) |
| Outputs |
|---|
(-.f64 x (/.f64 y 200)) |
(+.f64 x (*.f64 -1/200 y)) |
(fma.f64 -1/200 y x) |
(fma.f64 y -1/200 x) |
(-.f64 y (/.f64 x 200)) |
(+.f64 y (*.f64 -1/200 x)) |
(fma.f64 -1/200 x y) |
(fma.f64 x -1/200 y) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 57× | fma-neg_binary64 |
| 53× | fma-def_binary64 |
| 23× | cancel-sign-sub-inv_binary64 |
| 15× | sub-neg_binary64 |
| 11× | neg-mul-1_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 8 | 7 |
| 2 | 15 | 7 |
| 3 | 24 | 7 |
| 4 | 39 | 7 |
| 5 | 63 | 5 |
| 6 | 109 | 5 |
| 7 | 156 | 5 |
| 8 | 212 | 5 |
| 9 | 272 | 5 |
| 10 | 336 | 5 |
| 11 | 364 | 5 |
| 12 | 367 | 5 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 y 200)) |
| Outputs |
|---|
(-.f64 x (/.f64 y 200)) |
(+.f64 x (*.f64 -1/200 y)) |
(fma.f64 -1/200 y x) |
(fma.f64 y -1/200 x) |
Compiled 20 to 12 computations (40% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 2 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 3 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 x (/.f64 y 200)) |
| ▶ | 0.1b | (+.f64 x (*.f64 -1/200 y)) |
Compiled 14 to 10 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 -1/200 y)) |
| ✓ | 0.2b | (*.f64 -1/200 y) |
Compiled 13 to 8 computations (38.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 -1/200 y) |
| 0.0ms | y | @ | inf | (*.f64 -1/200 y) |
| 0.0ms | y | @ | 0 | (*.f64 -1/200 y) |
| 0.0ms | y | @ | inf | (+.f64 x (*.f64 -1/200 y)) |
| 0.0ms | x | @ | inf | (+.f64 x (*.f64 -1/200 y)) |
| 1× | batch-egg-rewrite |
| 692× | pow1_binary64 |
| 648× | add-log-exp_binary64 |
| 648× | log1p-expm1-u_binary64 |
| 648× | expm1-log1p-u_binary64 |
| 635× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 130 | 9 |
| 2 | 1738 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/200 y) |
(+.f64 x (*.f64 -1/200 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/200 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) -1/8000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/200 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/200) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) -1/8000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/200 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/200 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 -1/200 y))) (/.f64 (pow.f64 (*.f64 -1/200 y) 2) (-.f64 x (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/200 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/200 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/200 y x)) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2) (cbrt.f64 (fma.f64 -1/200 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/200 y x)) (sqrt.f64 (fma.f64 -1/200 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (/.f64 1 (-.f64 x (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 -1/200 y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)) (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)) (+.f64 (pow.f64 (*.f64 -1/200 y) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/200 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (-.f64 x (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2))) (neg.f64 (-.f64 x (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/200 y) 2) (*.f64 x x)) (-.f64 (*.f64 -1/200 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/200 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/200 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/200 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/200 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/200 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/200 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/200 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/200 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/200 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/200 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/200 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/200 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 2) (cbrt.f64 (*.f64 -1/200 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/200 y)) (sqrt.f64 (*.f64 -1/200 y)) x))))) |
| 1× | egg-herbie |
| 571× | fma-neg_binary64 |
| 514× | div-sub_binary64 |
| 487× | cancel-sign-sub-inv_binary64 |
| 293× | fma-def_binary64 |
| 255× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 586 |
| 1 | 256 | 561 |
| 2 | 897 | 527 |
| 3 | 4460 | 467 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(-.f64 (+.f64 1 (*.f64 -1/200 y)) 1) |
(pow.f64 (*.f64 -1/200 y) 1) |
(pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3) |
(pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2) |
(pow.f64 (*.f64 (pow.f64 y 3) -1/8000000) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 -1/200 y) 2)) |
(log.f64 (pow.f64 (exp.f64 -1/200) y)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/8000000)) |
(expm1.f64 (log1p.f64 (*.f64 -1/200 y))) |
(log1p.f64 (expm1.f64 (*.f64 -1/200 y))) |
(exp.f64 (log.f64 (*.f64 -1/200 y))) |
(-.f64 (+.f64 1 (fma.f64 -1/200 y x)) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 -1/200 y))) (/.f64 (pow.f64 (*.f64 -1/200 y) 2) (-.f64 x (*.f64 -1/200 y)))) |
(*.f64 (fma.f64 -1/200 y x) 1) |
(*.f64 1 (fma.f64 -1/200 y x)) |
(*.f64 (cbrt.f64 (fma.f64 -1/200 y x)) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2) (cbrt.f64 (fma.f64 -1/200 y x))) |
(*.f64 (sqrt.f64 (fma.f64 -1/200 y x)) (sqrt.f64 (fma.f64 -1/200 y x))) |
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (/.f64 1 (-.f64 x (*.f64 -1/200 y)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 -1/200 y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)) (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)) (+.f64 (pow.f64 (*.f64 -1/200 y) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/200 y) x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (-.f64 x (*.f64 -1/200 y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2))) (neg.f64 (-.f64 x (*.f64 -1/200 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 -1/200 y) 2) (*.f64 x x)) (-.f64 (*.f64 -1/200 y) x)) |
(pow.f64 (fma.f64 -1/200 y x) 1) |
(pow.f64 (pow.f64 (fma.f64 -1/200 y x) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 3) |
(pow.f64 (sqrt.f64 (fma.f64 -1/200 y x)) 2) |
(sqrt.f64 (pow.f64 (fma.f64 -1/200 y x) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/200 y x))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/200 y x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/200 y x))) |
(log1p.f64 (expm1.f64 (fma.f64 -1/200 y x))) |
(exp.f64 (log.f64 (fma.f64 -1/200 y x))) |
(fma.f64 -1/200 y x) |
(fma.f64 y -1/200 x) |
(fma.f64 1 (*.f64 -1/200 y) x) |
(fma.f64 1 x (*.f64 -1/200 y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/200 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 2) (cbrt.f64 (*.f64 -1/200 y)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/200 y)) |
(fma.f64 (sqrt.f64 (*.f64 -1/200 y)) (sqrt.f64 (*.f64 -1/200 y)) x) |
| Outputs |
|---|
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(-.f64 (+.f64 1 (*.f64 -1/200 y)) 1) |
(*.f64 -1/200 y) |
(pow.f64 (*.f64 -1/200 y) 1) |
(*.f64 -1/200 y) |
(pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3) |
(*.f64 -1/200 y) |
(pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2) |
(*.f64 -1/200 y) |
(pow.f64 (*.f64 (pow.f64 y 3) -1/8000000) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/8000000)) |
(sqrt.f64 (pow.f64 (*.f64 -1/200 y) 2)) |
(*.f64 -1/200 y) |
(log.f64 (pow.f64 (exp.f64 -1/200) y)) |
(*.f64 -1/200 y) |
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/8000000)) |
(expm1.f64 (log1p.f64 (*.f64 -1/200 y))) |
(*.f64 -1/200 y) |
(log1p.f64 (expm1.f64 (*.f64 -1/200 y))) |
(*.f64 -1/200 y) |
(exp.f64 (log.f64 (*.f64 -1/200 y))) |
(*.f64 -1/200 y) |
(-.f64 (+.f64 1 (fma.f64 -1/200 y x)) 1) |
(fma.f64 -1/200 y x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 -1/200 y))) (/.f64 (pow.f64 (*.f64 -1/200 y) 2) (-.f64 x (*.f64 -1/200 y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (+.f64 x (*.f64 1/200 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/40000)) (fma.f64 y 1/200 x)) |
(/.f64 (fma.f64 -1/200 y x) 1) |
(*.f64 (fma.f64 -1/200 y x) 1) |
(fma.f64 -1/200 y x) |
(*.f64 1 (fma.f64 -1/200 y x)) |
(fma.f64 -1/200 y x) |
(*.f64 (cbrt.f64 (fma.f64 -1/200 y x)) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2)) |
(fma.f64 -1/200 y x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2) (cbrt.f64 (fma.f64 -1/200 y x))) |
(fma.f64 -1/200 y x) |
(*.f64 (sqrt.f64 (fma.f64 -1/200 y x)) (sqrt.f64 (fma.f64 -1/200 y x))) |
(fma.f64 -1/200 y x) |
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (*.f64 (*.f64 y y) 1/40000))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (/.f64 1 (-.f64 x (*.f64 -1/200 y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (+.f64 x (*.f64 1/200 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/40000)) (fma.f64 y 1/200 x)) |
(/.f64 (fma.f64 -1/200 y x) 1) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (*.f64 (*.f64 y y) 1/40000))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 -1/200 y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (+.f64 x (*.f64 1/200 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/40000)) (fma.f64 y 1/200 x)) |
(/.f64 (fma.f64 -1/200 y x) 1) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)) (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (*.f64 (*.f64 y y) 1/40000))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000)) (+.f64 (pow.f64 (*.f64 -1/200 y) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/200 y) x)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (*.f64 (*.f64 y y) 1/40000))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (-.f64 x (*.f64 -1/200 y))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (+.f64 x (*.f64 1/200 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/40000)) (fma.f64 y 1/200 x)) |
(/.f64 (fma.f64 -1/200 y x) 1) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) -1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))))) |
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/200 y) (fma.f64 -1/200 y (neg.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (*.f64 (*.f64 y y) 1/40000))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2))) (neg.f64 (-.f64 x (*.f64 -1/200 y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (+.f64 x (*.f64 1/200 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/40000)) (fma.f64 y 1/200 x)) |
(/.f64 (fma.f64 -1/200 y x) 1) |
(/.f64 (-.f64 (pow.f64 (*.f64 -1/200 y) 2) (*.f64 x x)) (-.f64 (*.f64 -1/200 y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -1/200 y) 2)) (+.f64 x (*.f64 1/200 y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -1/40000)) (fma.f64 y 1/200 x)) |
(/.f64 (fma.f64 -1/200 y x) 1) |
(pow.f64 (fma.f64 -1/200 y x) 1) |
(fma.f64 -1/200 y x) |
(pow.f64 (pow.f64 (fma.f64 -1/200 y x) 3) 1/3) |
(fma.f64 -1/200 y x) |
(pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 3) |
(fma.f64 -1/200 y x) |
(pow.f64 (sqrt.f64 (fma.f64 -1/200 y x)) 2) |
(fma.f64 -1/200 y x) |
(sqrt.f64 (pow.f64 (fma.f64 -1/200 y x) 2)) |
(fma.f64 -1/200 y x) |
(log.f64 (exp.f64 (fma.f64 -1/200 y x))) |
(fma.f64 -1/200 y x) |
(cbrt.f64 (pow.f64 (fma.f64 -1/200 y x) 3)) |
(fma.f64 -1/200 y x) |
(expm1.f64 (log1p.f64 (fma.f64 -1/200 y x))) |
(fma.f64 -1/200 y x) |
(log1p.f64 (expm1.f64 (fma.f64 -1/200 y x))) |
(fma.f64 -1/200 y x) |
(exp.f64 (log.f64 (fma.f64 -1/200 y x))) |
(fma.f64 -1/200 y x) |
(fma.f64 -1/200 y x) |
(fma.f64 y -1/200 x) |
(fma.f64 -1/200 y x) |
(fma.f64 1 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(fma.f64 1 x (*.f64 -1/200 y)) |
(fma.f64 -1/200 y x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/200 y)) |
(fma.f64 -1/200 y x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 2) (cbrt.f64 (*.f64 -1/200 y)) x) |
(fma.f64 -1/200 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/200 y)) |
(fma.f64 -1/200 y x) |
(fma.f64 (sqrt.f64 (*.f64 -1/200 y)) (sqrt.f64 (*.f64 -1/200 y)) x) |
(fma.f64 -1/200 y x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 y 200)) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 x (/.f64 y 200)) |
| 0.0ms | y | @ | 0 | (-.f64 x (/.f64 y 200)) |
| 0.0ms | x | @ | -inf | (-.f64 x (/.f64 y 200)) |
| 0.0ms | y | @ | -inf | (-.f64 x (/.f64 y 200)) |
| 0.0ms | x | @ | inf | (-.f64 x (/.f64 y 200)) |
| 1× | batch-egg-rewrite |
| 752× | pow1_binary64 |
| 709× | add-log-exp_binary64 |
| 709× | log1p-expm1-u_binary64 |
| 709× | expm1-log1p-u_binary64 |
| 696× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 139 | 7 |
| 2 | 1902 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 y 200)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y -1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 -1/200 y (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (*.f64 y -1/200) 1 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/200))) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 2) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y 1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (neg.f64 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x (*.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) (*.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200)))))) |
| 1× | egg-herbie |
| 734× | div-sub_binary64 |
| 467× | fma-def_binary64 |
| 461× | fma-neg_binary64 |
| 155× | unswap-sqr_binary64 |
| 152× | log-prod_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 435 |
| 1 | 283 | 400 |
| 2 | 1046 | 400 |
| 3 | 4354 | 400 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 (*.f64 -1/200 y) x) |
(+.f64 x (*.f64 y -1/200)) |
(+.f64 x (*.f64 (*.f64 y -1/200) 1)) |
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 -1/200 y (*.f64 y 1/200))) |
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (*.f64 y -1/200) 1 (*.f64 y 1/200))) |
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/200))) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 2) (*.f64 y 1/200))) |
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200))) |
(+.f64 (*.f64 y -1/200) x) |
(*.f64 (+.f64 x (*.f64 y -1/200)) 1) |
(*.f64 1 (+.f64 x (*.f64 y -1/200))) |
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200)))) |
(*.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200)))) |
(*.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200)))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)))) |
(/.f64 1 (/.f64 (+.f64 x (*.f64 y 1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)))) |
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (neg.f64 (+.f64 x (*.f64 y 1/200)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x (*.f64 y -1/200))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) (*.f64 y -1/200))) (-.f64 x (*.f64 y -1/200))) |
(pow.f64 (+.f64 x (*.f64 y -1/200)) 1) |
(pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3) |
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2) |
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2)) |
(log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200)))) |
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200)))) |
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200)))) |
(exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200)))) |
(fma.f64 1 x (*.f64 y -1/200)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -1/200)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200)) |
| Outputs |
|---|
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
x |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(*.f64 -1/200 y) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 -1/200 y) x) |
(fma.f64 -1/200 y x) |
(+.f64 x (*.f64 y -1/200)) |
(fma.f64 -1/200 y x) |
(+.f64 x (*.f64 (*.f64 y -1/200) 1)) |
(fma.f64 -1/200 y x) |
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 -1/200 y (*.f64 y 1/200))) |
(fma.f64 -1/200 y x) |
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (*.f64 y -1/200) 1 (*.f64 y 1/200))) |
(fma.f64 -1/200 y x) |
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/200))) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 2) (*.f64 y 1/200))) |
(fma.f64 -1/200 y x) |
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200))) |
(fma.f64 -1/200 y x) |
(+.f64 (*.f64 y -1/200) x) |
(fma.f64 -1/200 y x) |
(*.f64 (+.f64 x (*.f64 y -1/200)) 1) |
(fma.f64 -1/200 y x) |
(*.f64 1 (+.f64 x (*.f64 y -1/200))) |
(fma.f64 -1/200 y x) |
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2)) |
(fma.f64 -1/200 y x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200)))) |
(fma.f64 -1/200 y x) |
(*.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200)))) |
(fma.f64 -1/200 y x) |
(*.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 y (*.f64 1/200 (+.f64 x (*.f64 y 1/200))))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/200 (fma.f64 y 1/200 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (fma.f64 x 1/200 (*.f64 y 1/40000)) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (*.f64 y 1/200) (fma.f64 y 1/200 x) (*.f64 x x))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200)))) |
(fma.f64 -1/200 y x) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200)))) |
(fma.f64 -1/200 y x) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 y (*.f64 1/200 (+.f64 x (*.f64 y 1/200))))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/200 (fma.f64 y 1/200 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (fma.f64 x 1/200 (*.f64 y 1/40000)) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (*.f64 y 1/200) (fma.f64 y 1/200 x) (*.f64 x x))) |
(/.f64 1 (/.f64 (+.f64 x (*.f64 y 1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)))) |
(fma.f64 -1/200 y x) |
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 y (*.f64 1/200 (+.f64 x (*.f64 y 1/200))))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/200 (fma.f64 y 1/200 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (fma.f64 x 1/200 (*.f64 y 1/40000)) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (*.f64 y 1/200) (fma.f64 y 1/200 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200))) |
(fma.f64 -1/200 y x) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 y (*.f64 1/200 (+.f64 x (*.f64 y 1/200))))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/200 (fma.f64 y 1/200 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (fma.f64 x 1/200 (*.f64 y 1/40000)) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (*.f64 y 1/200) (fma.f64 y 1/200 x) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (neg.f64 (+.f64 x (*.f64 y 1/200)))) |
(fma.f64 -1/200 y x) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x (*.f64 y -1/200))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 y (*.f64 1/200 (+.f64 x (*.f64 y 1/200))))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 1/200 (fma.f64 y 1/200 x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (fma.f64 x 1/200 (*.f64 y 1/40000)) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (*.f64 y 1/200) (fma.f64 y 1/200 x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) (*.f64 y -1/200))) (-.f64 x (*.f64 y -1/200))) |
(fma.f64 -1/200 y x) |
(pow.f64 (+.f64 x (*.f64 y -1/200)) 1) |
(fma.f64 -1/200 y x) |
(pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3) |
(fma.f64 -1/200 y x) |
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3) |
(fma.f64 -1/200 y x) |
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2) |
(fma.f64 -1/200 y x) |
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2)) |
(fma.f64 -1/200 y x) |
(log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200)))) |
(fma.f64 -1/200 y x) |
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3)) |
(fma.f64 -1/200 y x) |
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200)))) |
(fma.f64 -1/200 y x) |
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200)))) |
(fma.f64 -1/200 y x) |
(exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200)))) |
(fma.f64 -1/200 y x) |
(fma.f64 1 x (*.f64 y -1/200)) |
(fma.f64 -1/200 y x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -1/200)) |
(fma.f64 -1/200 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200)) |
(fma.f64 -1/200 y x) |
Compiled 1170 to 776 computations (33.7% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 2 | 100 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 98 | 4 | 102 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 y 200)) |
| ✓ | 0.1b | (+.f64 x (*.f64 -1/200 y)) |
| ▶ | 34.4b | (*.f64 -1/200 y) |
| 28.8b | x |
Compiled 22 to 16 computations (27.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -1/200 y) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 65 to 54 computations (16.9% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 11 | 0 | 11 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 11 | 4 | 15 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 y 200)) |
| ✓ | 0.1b | (+.f64 x (*.f64 -1/200 y)) |
| ✓ | 34.4b | (*.f64 -1/200 y) |
| 28.8b | x |
Compiled 22 to 16 computations (27.3% saved)
Compiled 2 to 2 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 y 200)) |
| ✓ | 0.1b | (+.f64 x (*.f64 -1/200 y)) |
| ✓ | 34.4b | (*.f64 -1/200 y) |
| 28.8b | x |
Compiled 22 to 16 computations (27.3% saved)
Compiled 2 to 2 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 y 200)) |
| ✓ | 0.1b | (+.f64 x (*.f64 -1/200 y)) |
| ✓ | 34.4b | (*.f64 -1/200 y) |
| 28.8b | x |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
x |
(*.f64 -1/200 y) |
(+.f64 x (*.f64 -1/200 y)) |
(-.f64 x (/.f64 y 200)) |
| Outputs |
|---|
(-.f64 x (/.f64 y 200)) |
4 calls:
| 5.0ms | (-.f64 x (/.f64 y 200)) |
| 4.0ms | (/.f64 y 200) |
| 4.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (-.f64 x (/.f64 y 200)) |
| 0.0b | 1 | (/.f64 y 200) |
Compiled 34 to 23 computations (32.4% saved)
| Inputs |
|---|
x |
(*.f64 -1/200 y) |
(+.f64 x (*.f64 -1/200 y)) |
| Outputs |
|---|
(+.f64 x (*.f64 -1/200 y)) |
2 calls:
| 24.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
Compiled 17 to 11 computations (35.3% saved)
Total -47.9b remaining (-342.1%)
Threshold costs -47.9b (-342.1%)
| Inputs |
|---|
x |
(*.f64 -1/200 y) |
| Outputs |
|---|
(*.f64 -1/200 y) |
x |
(*.f64 -1/200 y) |
2 calls:
| 45.0ms | x |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 5 | x |
| 14.0b | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 4.6967424422102845e-14 | 6.362021534663486e-14 |
| 19.0ms | -4.431898855071231e-38 | -1.1261454259762282e-44 |
| 21.0ms | 192× | body | 256 | valid |
Compiled 132 to 105 computations (20.5% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 20 | 36 |
| 2 | 27 | 36 |
| 3 | 31 | 36 |
| 4 | 34 | 36 |
| 5 | 35 | 36 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 y 200)) |
(+.f64 x (*.f64 -1/200 y)) |
(if (<=.f64 y -8428725474762389/191561942608236107294793378393788647952342390272950272) (*.f64 -1/200 y) (if (<=.f64 y 4912146075884389/79228162514264337593543950336) x (*.f64 -1/200 y))) |
x |
| Outputs |
|---|
(-.f64 x (/.f64 y 200)) |
(+.f64 x (*.f64 -1/200 y)) |
(+.f64 x (*.f64 y -1/200)) |
(if (<=.f64 y -8428725474762389/191561942608236107294793378393788647952342390272950272) (*.f64 -1/200 y) (if (<=.f64 y 4912146075884389/79228162514264337593543950336) x (*.f64 -1/200 y))) |
(if (<=.f64 y -8428725474762389/191561942608236107294793378393788647952342390272950272) (*.f64 y -1/200) (if (<=.f64 y 4912146075884389/79228162514264337593543950336) x (*.f64 y -1/200))) |
x |
Compiled 34 to 24 computations (29.4% saved)
Compiled 28 to 18 computations (35.7% saved)
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