Time bar (total: 3.7s)
| 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 |
| 51.6% | 50% | 46.8% | 0.1% | 3.1% | 0% | 0% | 7 |
| 62.3% | 59.3% | 35.9% | 0.1% | 4.7% | 0% | 0% | 8 |
| 72.3% | 67.1% | 25.8% | 0.1% | 7% | 0% | 0% | 9 |
| 79.1% | 72.6% | 19.1% | 0.1% | 8.2% | 0% | 0% | 10 |
| 85.1% | 76.9% | 13.5% | 0.1% | 9.6% | 0% | 0% | 11 |
| 89% | 79.8% | 9.9% | 0.1% | 10.2% | 0% | 0% | 12 |
Compiled 12 to 9 computations (25% saved)
| 1.1s | 6717× | body | 256 | valid |
| 154.0ms | 708× | body | 1024 | valid |
| 128.0ms | 826× | body | 512 | valid |
| 22.0ms | 229× | body | 256 | infinite |
| 1.0ms | 5× | body | 2048 | valid |
| 2× | egg-herbie |
| 1017× | fma-def_binary64 |
| 740× | unsub-neg_binary64 |
| 526× | sub-neg_binary64 |
| 423× | distribute-neg-in_binary64 |
| 374× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 19 | 22 |
| 2 | 42 | 22 |
| 3 | 132 | 22 |
| 4 | 512 | 16 |
| 5 | 2325 | 16 |
| 6 | 5811 | 16 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(fma.f64 (-.f64 1 x) (-.f64 1 y) x) |
(fma.f64 x y (-.f64 1 y)) |
(-.f64 (fma.f64 x y 1) y) |
(fma.f64 y (+.f64 x -1) 1) |
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x))) |
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(fma.f64 (-.f64 1 x) (-.f64 1 y) y) |
(fma.f64 x y (-.f64 1 x)) |
(-.f64 (fma.f64 x y 1) x) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 850× | unsub-neg_binary64 |
| 737× | fma-def_binary64 |
| 388× | sub-neg_binary64 |
| 382× | distribute-neg-in_binary64 |
| 267× | +-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 16 | 11 |
| 2 | 37 | 11 |
| 3 | 113 | 11 |
| 4 | 409 | 8 |
| 5 | 1773 | 8 |
| 6 | 4157 | 8 |
| 7 | 5814 | 8 |
| 8 | 6531 | 8 |
| 9 | 6794 | 8 |
| 10 | 6952 | 8 |
| 11 | 7050 | 8 |
| 12 | 7213 | 8 |
| 13 | 7599 | 8 |
| 14 | 7812 | 8 |
| 15 | 7964 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(fma.f64 (-.f64 1 x) (-.f64 1 y) x) |
(fma.f64 x y (-.f64 1 y)) |
(-.f64 (fma.f64 x y 1) y) |
Compiled 17 to 11 computations (35.3% 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 |
|---|---|---|
| ▶ | 0.0b | (-.f64 (fma.f64 x y 1) y) |
| ▶ | 17.1b | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
Compiled 19 to 13 computations (31.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1 x) (-.f64 1 y)) |
| ✓ | 2.0b | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
Compiled 27 to 18 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 1.0ms | y | @ | -inf | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 1.0ms | x | @ | 0 | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 1.0ms | y | @ | inf | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 1.0ms | y | @ | 0 | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 1× | batch-egg-rewrite |
| 433× | log-prod_binary64 |
| 394× | prod-exp_binary64 |
| 356× | fma-def_binary64 |
| 329× | exp-prod_binary64 |
| 323× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 180 | 21 |
| 2 | 2620 | 21 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 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1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 y)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 y)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 x)) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 x)) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 y) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 y) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) 1 (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) 1 (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 1 (+.f64 1 (fma.f64 y y y))) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 1 (+.f64 1 (fma.f64 y y y))) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (-.f64 1 x) (neg.f64 y))))))) |
| 1× | egg-herbie |
| 837× | unsub-neg_binary64 |
| 614× | fma-neg_binary64 |
| 550× | distribute-neg-in_binary64 |
| 499× | sub-neg_binary64 |
| 452× | associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 667 |
| 1 | 63 | 573 |
| 2 | 163 | 387 |
| 3 | 446 | 387 |
| 4 | 1496 | 387 |
| 5 | 3795 | 387 |
| 6 | 5351 | 387 |
| 7 | 6675 | 387 |
| 8 | 7052 | 387 |
| 9 | 7218 | 387 |
| 10 | 7276 | 387 |
| 11 | 7351 | 387 |
| 12 | 7932 | 387 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 1 y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
| Outputs |
|---|
(-.f64 1 y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x) |
(*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) |
(*.f64 (-.f64 1 (-.f64 1 y)) x) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 y x) |
(*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) |
(*.f64 (-.f64 1 (-.f64 1 y)) x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(neg.f64 (*.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (neg.f64 y)) |
(-.f64 (*.f64 y x) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(neg.f64 (*.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (neg.f64 y)) |
(-.f64 (*.f64 y x) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 1 y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 (neg.f64 (-.f64 1 y)) x) |
(*.f64 (-.f64 1 y) (neg.f64 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 (neg.f64 (-.f64 1 y)) x) |
(*.f64 (-.f64 1 y) (neg.f64 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(neg.f64 (*.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (neg.f64 y)) |
(-.f64 (*.f64 y x) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(neg.f64 (*.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (neg.f64 y)) |
(-.f64 (*.f64 y x) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (fma.f64 x y 1) y) |
Compiled 15 to 8 computations (46.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (fma.f64 x y 1) y) |
| 1.0ms | y | @ | -inf | (-.f64 (fma.f64 x y 1) y) |
| 1.0ms | x | @ | 0 | (-.f64 (fma.f64 x y 1) y) |
| 1.0ms | y | @ | inf | (-.f64 (fma.f64 x y 1) y) |
| 1.0ms | y | @ | 0 | (-.f64 (fma.f64 x y 1) y) |
| 1× | batch-egg-rewrite |
| 672× | pow1_binary64 |
| 624× | add-log-exp_binary64 |
| 624× | log1p-expm1-u_binary64 |
| 624× | expm1-log1p-u_binary64 |
| 610× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 124 | 8 |
| 2 | 1637 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 x y 1) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y 1) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (fma.f64 x y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 2) (cbrt.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x y 1) y)) (sqrt.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1)))) (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (fma.f64 x y 1)) (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 x y 1) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 x y 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (cbrt.f64 (fma.f64 x y 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 (fma.f64 x y 1)) (neg.f64 y)))))) |
| 1× | egg-herbie |
| 185× | fma-def_binary64 |
| 162× | fma-neg_binary64 |
| 31× | sub-neg_binary64 |
| 25× | unsub-neg_binary64 |
| 23× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 207 |
| 1 | 45 | 171 |
| 2 | 111 | 171 |
| 3 | 230 | 171 |
| 4 | 465 | 171 |
| 5 | 665 | 171 |
| 6 | 773 | 171 |
| 7 | 791 | 171 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 1 y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
1 |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(*.f64 y (-.f64 x 1)) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
| Outputs |
|---|
(-.f64 1 y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
1 |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (*.f64 y x) y)) |
(-.f64 (fma.f64 y x 1) y) |
Compiled 3105 to 2003 computations (35.5% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 204 | 5 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 206 | 5 | 211 |
| Status | Error | Program |
|---|---|---|
| ▶ | 19.4b | (-.f64 1 y) |
| ▶ | 44.1b | (*.f64 y x) |
| ▶ | 0.0b | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| ▶ | 25.7b | (*.f64 y (-.f64 x 1)) |
| 38.1b | 1 |
Compiled 29 to 21 computations (27.6% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 x 1)) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 x 1)) |
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 x 1)) |
| 0.0ms | y | @ | -inf | (*.f64 y (-.f64 x 1)) |
| 0.0ms | x | @ | -inf | (*.f64 y (-.f64 x 1)) |
| 0.0ms | x | @ | 0 | (*.f64 y (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 599× | pow1_binary64 |
| 556× | add-log-exp_binary64 |
| 555× | log1p-expm1-u_binary64 |
| 555× | expm1-log1p-u_binary64 |
| 545× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 124 | 7 |
| 2 | 1543 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) y) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -1)))))))) |
| 1× | egg-herbie |
| 125× | fma-def_binary64 |
| 76× | fma-neg_binary64 |
| 29× | cancel-sign-sub-inv_binary64 |
| 16× | distribute-rgt-neg-in_binary64 |
| 15× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 74 |
| 1 | 12 | 74 |
| 2 | 22 | 74 |
| 3 | 29 | 74 |
| 4 | 44 | 74 |
| 5 | 72 | 74 |
| 6 | 155 | 74 |
| 7 | 301 | 74 |
| 8 | 445 | 74 |
| 9 | 479 | 74 |
| 10 | 481 | 74 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
| Outputs |
|---|
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(fma.f64 y x (neg.f64 y)) |
(*.f64 y (+.f64 x -1)) |
(*.f64 y (+.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(fma.f64 y x (neg.f64 y)) |
(*.f64 y (+.f64 x -1)) |
(*.f64 y (+.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(fma.f64 y x (neg.f64 y)) |
(*.f64 y (+.f64 x -1)) |
(*.f64 y (+.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(fma.f64 y x (neg.f64 y)) |
(*.f64 y (+.f64 x -1)) |
(*.f64 y (+.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(fma.f64 y x (neg.f64 y)) |
(*.f64 y (+.f64 x -1)) |
(*.f64 y (+.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(fma.f64 y x (neg.f64 y)) |
(*.f64 y (+.f64 x -1)) |
(*.f64 y (+.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(fma.f64 y x (neg.f64 y)) |
(*.f64 y (+.f64 x -1)) |
(*.f64 y (+.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(fma.f64 y x (neg.f64 y)) |
(*.f64 y (+.f64 x -1)) |
(*.f64 y (+.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(fma.f64 y x (neg.f64 y)) |
(*.f64 y (+.f64 x -1)) |
(*.f64 y (+.f64 -1 x)) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 1 (*.f64 y x)) y) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| 1.0ms | y | @ | 0 | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| 0.0ms | y | @ | inf | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| 1× | batch-egg-rewrite |
| 893× | pow1_binary64 |
| 833× | log1p-expm1-u_binary64 |
| 833× | expm1-log1p-u_binary64 |
| 832× | add-log-exp_binary64 |
| 816× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 154 | 8 |
| 2 | 2235 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 y x)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 (*.f64 y x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 1) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2) (cbrt.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) (sqrt.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))) (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (fma.f64 y x 1)) (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y x) y) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)) (-.f64 (*.f64 y x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 y x 1) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y))) (-.f64 1 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 y x 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)) (neg.f64 y)))))) |
| 1× | egg-herbie |
| 199× | fma-def_binary64 |
| 133× | fma-neg_binary64 |
| 30× | sub-neg_binary64 |
| 29× | unsub-neg_binary64 |
| 24× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 117 |
| 1 | 39 | 99 |
| 2 | 98 | 99 |
| 3 | 216 | 99 |
| 4 | 434 | 99 |
| 5 | 637 | 99 |
| 6 | 753 | 99 |
| 7 | 785 | 99 |
| 8 | 786 | 99 |
| 1× | saturated |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(*.f64 y (-.f64 x 1)) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(-.f64 1 y) |
(*.f64 y x) |
(*.f64 y x) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(fma.f64 y x (neg.f64 y)) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(fma.f64 y x (neg.f64 y)) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 1 y) |
(*.f64 y x) |
(*.f64 y x) |
Compiled 811 to 472 computations (41.8% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 72 | 1 | 73 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 72 | 6 | 78 |
| Status | Error | Program |
|---|---|---|
| ▶ | 44.4b | (neg.f64 y) |
| ✓ | 44.1b | (*.f64 y x) |
| ✓ | 19.4b | (-.f64 1 y) |
| ✓ | 0.0b | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| ✓ | 25.7b | (*.f64 y (-.f64 x 1)) |
| 38.1b | 1 |
Compiled 33 to 24 computations (27.3% saved)
Compiled 5 to 3 computations (40% saved)
Compiled 2 to 2 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 44.4b | (neg.f64 y) |
| ✓ | 44.1b | (*.f64 y x) |
| ✓ | 19.4b | (-.f64 1 y) |
| ✓ | 0.0b | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| ✓ | 25.7b | (*.f64 y (-.f64 x 1)) |
| 38.1b | 1 |
Compiled 33 to 24 computations (27.3% saved)
Compiled 2 to 2 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 44.4b | (neg.f64 y) |
| ✓ | 44.1b | (*.f64 y x) |
| ✓ | 19.4b | (-.f64 1 y) |
| ✓ | 0.0b | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| ✓ | 25.7b | (*.f64 y (-.f64 x 1)) |
| 38.1b | 1 |
Compiled 33 to 24 computations (27.3% saved)
| Inputs |
|---|
1 |
(neg.f64 y) |
(-.f64 1 y) |
(*.f64 y x) |
(*.f64 y (-.f64 x 1)) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(-.f64 (fma.f64 x y 1) y) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 y x)) y) |
6 calls:
| 6.0ms | y |
| 6.0ms | x |
| 5.0ms | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 4.0ms | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 4.0ms | (-.f64 1 y) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 0.0b | 1 | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 0.0b | 1 | (-.f64 1 y) |
| 0.0b | 1 | (-.f64 1 y) |
Compiled 76 to 50 computations (34.2% saved)
| Inputs |
|---|
1 |
(neg.f64 y) |
(-.f64 1 y) |
(*.f64 y x) |
(*.f64 y (-.f64 x 1)) |
| Outputs |
|---|
(*.f64 y x) |
(-.f64 1 y) |
(*.f64 y (-.f64 x 1)) |
4 calls:
| 68.0ms | y |
| 17.0ms | x |
| 10.0ms | (-.f64 1 y) |
| 9.0ms | (-.f64 1 y) |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 3 | x |
| 9.5b | 5 | y |
| 10.8b | 3 | (-.f64 1 y) |
| 10.8b | 3 | (-.f64 1 y) |
Compiled 32 to 22 computations (31.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 13268111000.88214 | 708856217583.6455 |
| 37.0ms | -1.0668657789567553e+21 | -8022761051.771967 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
1 |
(neg.f64 y) |
(-.f64 1 y) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
(-.f64 1 y) |
(*.f64 y x) |
4 calls:
| 20.0ms | x |
| 19.0ms | y |
| 11.0ms | (-.f64 1 y) |
| 8.0ms | (-.f64 1 y) |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 3 | x |
| 16.7b | 5 | y |
| 17.9b | 3 | (-.f64 1 y) |
| 17.9b | 3 | (-.f64 1 y) |
Compiled 27 to 19 computations (29.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 236542032794271.16 | 1376869029064869600.0 |
| 17.0ms | -1.0668657789567553e+21 | -8022761051.771967 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
1 |
(neg.f64 y) |
(-.f64 1 y) |
| Outputs |
|---|
(-.f64 1 y) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (-.f64 1 y) |
| Error | Segments | Branch |
|---|---|---|
| 19.4b | 1 | x |
| 19.4b | 1 | y |
| 19.4b | 1 | (-.f64 1 y) |
Compiled 19 to 14 computations (26.3% saved)
Total -41.5b remaining (-201.8%)
Threshold costs -41.5b (-201.8%)
| Inputs |
|---|
1 |
(neg.f64 y) |
| Outputs |
|---|
(neg.f64 y) |
1 |
(neg.f64 y) |
2 calls:
| 20.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 32.0b | 7 | x |
| 20.6b | 3 | y |
Compiled 11 to 8 computations (27.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.0032189468108935145 | 29.7687749905366 |
| 17.0ms | -0.12276131731217566 | -8.114326095434481e-7 |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 85 |
| 1 | 40 | 85 |
| 2 | 45 | 85 |
| 3 | 46 | 85 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(if (<=.f64 x -1066865778956755271680) (*.f64 y x) (if (<=.f64 x 6956311380430495/524288) (-.f64 1 y) (*.f64 y (-.f64 x 1)))) |
(if (<=.f64 x -1066865778956755271680) (*.f64 y x) (if (<=.f64 x 7569345049416677/32) (-.f64 1 y) (*.f64 y x))) |
(-.f64 1 y) |
(if (<=.f64 y -1105735645805251/9007199254740992) (neg.f64 y) (if (<=.f64 y 7422386000929525/2305843009213693952) 1 (neg.f64 y))) |
1 |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(if (<=.f64 x -1066865778956755271680) (*.f64 y x) (if (<=.f64 x 6956311380430495/524288) (-.f64 1 y) (*.f64 y (-.f64 x 1)))) |
(if (<=.f64 x -1066865778956755271680) (*.f64 y x) (if (<=.f64 x 6956311380430495/524288) (-.f64 1 y) (*.f64 y (+.f64 x -1)))) |
(if (<=.f64 x -1066865778956755271680) (*.f64 y x) (if (<=.f64 x 7569345049416677/32) (-.f64 1 y) (*.f64 y x))) |
(-.f64 1 y) |
(if (<=.f64 y -1105735645805251/9007199254740992) (neg.f64 y) (if (<=.f64 y 7422386000929525/2305843009213693952) 1 (neg.f64 y))) |
1 |
Compiled 72 to 48 computations (33.3% saved)
| 1× | egg-herbie |
| 850× | unsub-neg_binary64 |
| 737× | fma-def_binary64 |
| 388× | sub-neg_binary64 |
| 382× | distribute-neg-in_binary64 |
| 267× | +-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 16 | 11 |
| 2 | 37 | 11 |
| 3 | 113 | 11 |
| 4 | 409 | 8 |
| 5 | 1773 | 8 |
| 6 | 4157 | 8 |
| 7 | 5814 | 8 |
| 8 | 6531 | 8 |
| 9 | 6794 | 8 |
| 10 | 6952 | 8 |
| 11 | 7050 | 8 |
| 12 | 7213 | 8 |
| 13 | 7599 | 8 |
| 14 | 7812 | 8 |
| 15 | 7964 | 8 |
| 1× | node limit |
Compiled 383 to 286 computations (25.3% saved)
Compiled 62 to 36 computations (41.9% saved)
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