Time bar (total: 3.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 40.6% | 59.3% | 0.1% | 7 |
| 45.3% | 53.1% | 1.7% | 8 |
| 63.2% | 33.6% | 3.2% | 9 |
| 66% | 28.9% | 5.2% | 10 |
| 75.1% | 17.8% | 7.1% | 11 |
| 76.6% | 15% | 8.4% | 12 |
Compiled 10 to 7 computations (30% saved)
| 946.0ms | 8256× | body | 256 | valid |
| 33.0ms | 382× | body | 256 | invalid |
| 2× | egg-herbie |
| 36× | fma-neg_binary64 |
| 19× | associate-/l*_binary64 |
| 16× | sub-neg_binary64 |
| 16× | times-frac_binary64 |
| 16× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 16 | 22 |
| 2 | 24 | 22 |
| 3 | 36 | 22 |
| 4 | 66 | 22 |
| 5 | 124 | 22 |
| 6 | 160 | 22 |
| 7 | 212 | 22 |
| 8 | 261 | 22 |
| 9 | 302 | 22 |
| 10 | 302 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x)) |
| Outputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 x)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 39× | fma-neg_binary64 |
| 17× | fma-def_binary64 |
| 16× | cancel-sign-sub-inv_binary64 |
| 16× | sub-neg_binary64 |
| 9× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 11 | 11 |
| 2 | 18 | 11 |
| 3 | 27 | 11 |
| 4 | 48 | 11 |
| 5 | 104 | 11 |
| 6 | 157 | 11 |
| 7 | 199 | 11 |
| 8 | 233 | 11 |
| 9 | 260 | 11 |
| 10 | 275 | 11 |
| 11 | 275 | 11 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| Outputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
Compiled 9 to 6 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
Compiled 20 to 6 computations (70% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| 1.0ms | x | @ | -inf | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| 1.0ms | x | @ | 0 | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| 1.0ms | x | @ | inf | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| 1.0ms | y | @ | inf | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| 1× | batch-egg-rewrite |
| 778× | pow1_binary64 |
| 728× | add-log-exp_binary64 |
| 728× | log1p-expm1-u_binary64 |
| 728× | expm1-log1p-u_binary64 |
| 713× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 161 | 7 |
| 2 | 2561 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.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 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) 2) (cbrt.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) y)) (sqrt.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) y))))))) |
| 1× | egg-herbie |
| 33× | fma-neg_binary64 |
| 27× | fma-def_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 13× | sub-neg_binary64 |
| 9× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 104 |
| 1 | 27 | 88 |
| 2 | 50 | 88 |
| 3 | 97 | 88 |
| 4 | 165 | 88 |
| 5 | 193 | 88 |
| 6 | 222 | 88 |
| 7 | 242 | 88 |
| 8 | 255 | 88 |
| 9 | 255 | 88 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y)) |
| Outputs |
|---|
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
Compiled 396 to 145 computations (63.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 3 | 41 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 39 | 3 | 42 |
| Status | Error | Program |
|---|---|---|
| ▶ | 51.5b | (-.f64 (/.f64 x y) (/.f64 y y)) |
| ▶ | 0.0b | (fabs.f64 (/.f64 (-.f64 y x) y)) |
| ▶ | 51.6b | (*.f64 (/.f64 1 y) (-.f64 x y)) |
Compiled 26 to 16 computations (38.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 y x) y) |
Compiled 18 to 5 computations (72.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 y x) y) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 y x) y) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 y x) y) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 y x) y) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 y x) y) |
| 1× | batch-egg-rewrite |
| 787× | pow1_binary64 |
| 738× | add-log-exp_binary64 |
| 738× | log1p-expm1-u_binary64 |
| 738× | expm1-log1p-u_binary64 |
| 721× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 119 | 7 |
| 2 | 1913 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 y x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 1 (/.f64 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 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 20× | fma-def_binary64 |
| 12× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 183 |
| 1 | 15 | 147 |
| 2 | 24 | 147 |
| 3 | 33 | 147 |
| 4 | 44 | 147 |
| 5 | 59 | 147 |
| 6 | 74 | 147 |
| 7 | 91 | 147 |
| 8 | 102 | 147 |
| 9 | 116 | 147 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 (neg.f64 (/.f64 x y)) 1) |
(-.f64 1 (/.f64 x y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1 y) (-.f64 x y)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 1 y) (-.f64 x y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 y) (-.f64 x y)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 y) (-.f64 x y)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 y) (-.f64 x y)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 y) (-.f64 x y)) |
| 1× | batch-egg-rewrite |
| 805× | pow1_binary64 |
| 750× | add-log-exp_binary64 |
| 750× | log1p-expm1-u_binary64 |
| 750× | expm1-log1p-u_binary64 |
| 734× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 149 | 7 |
| 2 | 2035 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 y) (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 y)) (*.f64 (neg.f64 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 1 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 y (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x y)) (/.f64 y (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (neg.f64 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 (+.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1) (*.f64 (+.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 x x (*.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 y)) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) y))))))) |
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 141 |
| 1 | 11 | 141 |
| 2 | 12 | 141 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
| Outputs |
|---|
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
Compiled 17 to 5 computations (70.6% saved)
Compiled 848 to 395 computations (53.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 7 | 80 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 76 | 7 | 83 |
| Status | Error | Program |
|---|---|---|
| 36.9b | (fabs.f64 (/.f64 (neg.f64 x) y)) | |
| ▶ | 57.5b | (/.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) |
| ▶ | 51.0b | (/.f64 x y) |
| ▶ | 24.8b | (fabs.f64 1) |
| ▶ | 0b | (fabs.f64 (-.f64 1 (/.f64 x y))) |
| ▶ | 51.5b | (/.f64 (-.f64 x y) y) |
| 63.1b | -1 |
Compiled 99 to 67 computations (32.3% saved)
Compiled 19 to 9 computations (52.6% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 x y) y) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 x y) y) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 x y) y) |
| 0.0ms | y | @ | inf | (/.f64 (-.f64 x y) y) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 x y) y) |
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 x y) y) |
| 1× | batch-egg-rewrite |
| 771× | pow1_binary64 |
| 723× | add-log-exp_binary64 |
| 723× | log1p-expm1-u_binary64 |
| 723× | expm1-log1p-u_binary64 |
| 706× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 118 | 7 |
| 2 | 1882 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 x y) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x y) -1))))))) |
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 141 |
| 1 | 11 | 141 |
| 2 | 12 | 141 |
| 1× | saturated |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.1b | (-.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | 7.7b | (/.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) |
| ✓ | 22.0b | (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 50 to 16 computations (68% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (/.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) |
| 3.0ms | x | @ | 0 | (/.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) |
| 1× | batch-egg-rewrite |
| 662× | log-prod_binary64 |
| 662× | fma-def_binary64 |
| 290× | fma-neg_binary64 |
| 226× | pow1/3_binary64 |
| 219× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 256 | 36 |
| 2 | 4011 | 36 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
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(sqrt.f64 x) x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 y (neg.f64 y) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)) (fma.f64 y (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))))) (#(struct:change 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(neg.f64 y) (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) (+.f64 y x) (+.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 y (neg.f64 y) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) (*.f64 y y))) (cbrt.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)))) (cbrt.f64 (fma.f64 y (neg.f64 y) (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))))) |
| 1× | egg-herbie |
| 734× | associate-/r*_binary64 |
| 652× | associate-/l/_binary64 |
| 530× | associate-/r/_binary64 |
| 520× | associate-*l/_binary64 |
| 380× | associate-*r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 597 |
| 1 | 34 | 561 |
| 2 | 54 | 561 |
| 3 | 116 | 561 |
| 4 | 378 | 561 |
| 5 | 1850 | 561 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) y) |
(-.f64 (*.f64 x (/.f64 x y)) y) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 5 to 5 computations (0% saved)
Compiled 8635 to 2813 computations (67.4% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 371 | 5 | 376 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 373 | 10 | 383 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.8b | (fabs.f64 1) |
| 63.1b | -1 | |
| ▶ | 62.9b | (/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
| ✓ | 51.0b | (/.f64 x y) |
| ✓ | 0b | (fabs.f64 (-.f64 1 (/.f64 x y))) |
| ▶ | 36.9b | (fabs.f64 (/.f64 (neg.f64 x) y)) |
| ▶ | 62.6b | (/.f64 (neg.f64 y) (+.f64 y x)) |
| ✓ | 51.5b | (/.f64 (-.f64 x y) y) |
| ▶ | 54.3b | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
| ▶ | 56.6b | (/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
Compiled 133 to 86 computations (35.3% saved)
Compiled 15 to 5 computations (66.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 y) (+.f64 y x)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/.f64 (neg.f64 y) (+.f64 y x)) |
| 1.0ms | x | @ | inf | (/.f64 (neg.f64 y) (+.f64 y x)) |
| 1.0ms | x | @ | -inf | (/.f64 (neg.f64 y) (+.f64 y x)) |
| 1.0ms | x | @ | 0 | (/.f64 (neg.f64 y) (+.f64 y x)) |
| 1.0ms | y | @ | inf | (/.f64 (neg.f64 y) (+.f64 y x)) |
| 1× | batch-egg-rewrite |
| 719× | pow1_binary64 |
| 672× | add-log-exp_binary64 |
| 671× | log1p-expm1-u_binary64 |
| 671× | expm1-log1p-u_binary64 |
| 657× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 140 | 7 |
| 2 | 2265 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 y) (+.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y x)) (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) 2) (cbrt.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y x))) (sqrt.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 y (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 y (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y x))) (/.f64 y (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y x))) (/.f64 y (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y x)))))))) |
| 1× | egg-herbie |
| 757× | fma-def_binary64 |
| 633× | associate-/l*_binary64 |
| 445× | associate-/r*_binary64 |
| 412× | associate-*l/_binary64 |
| 395× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 474 |
| 1 | 94 | 444 |
| 2 | 281 | 390 |
| 3 | 1211 | 336 |
| 4 | 7475 | 336 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y x)) |
(neg.f64 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 (*.f64 y y) (*.f64 x x))) |
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) |
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) -1) |
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 -1 (-.f64 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) x)))) |
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 -1 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 x (/.f64 (*.f64 y y) x))))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) -1) |
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 -1 (-.f64 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) x)))) |
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 -1 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 x (/.f64 (*.f64 y y) x))))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) -1) |
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 -1 (-.f64 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) x)))) |
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 -1 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 x (/.f64 (*.f64 y y) x))))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 y x)) |
(neg.f64 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 (*.f64 y y) (*.f64 x x))) |
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) |
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) |
(*.f64 -1 (/.f64 y x)) |
(neg.f64 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 (*.f64 y y) (*.f64 x x))) |
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) |
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (/.f64 x y)) |
| ✓ | 9.4b | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
Compiled 24 to 6 computations (75% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
| 1.0ms | x | @ | inf | (*.f64 x (/.f64 x y)) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 x y)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
| 1× | batch-egg-rewrite |
| 510× | log-prod_binary64 |
| 500× | prod-diff_binary64 |
| 328× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
| 178× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 164 | 20 |
| 2 | 2651 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
(*.f64 x (/.f64 x y)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x y) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 x y)) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 (+.f64 x y) x))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) 1)))))) |
| 1× | egg-herbie |
| 702× | fma-def_binary64 |
| 672× | associate-/l*_binary64 |
| 420× | associate-/r*_binary64 |
| 404× | fma-neg_binary64 |
| 393× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 678 |
| 1 | 104 | 651 |
| 2 | 292 | 612 |
| 3 | 1237 | 588 |
| 4 | 7274 | 588 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(-.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (pow.f64 (/.f64 x y) 3)) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) |
(+.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) |
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)) |
(+.f64 (+.f64 -1 (/.f64 x y)) (/.f64 y x)) |
(+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))) |
(-.f64 (/.f64 x y) (-.f64 1 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) -1) |
(+.f64 -1 (+.f64 (/.f64 y x) (-.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 x x) y))))) |
(-.f64 (+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)) |
(+.f64 (+.f64 -1 (/.f64 x y)) (/.f64 y x)) |
(+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))) |
(-.f64 (/.f64 x y) (-.f64 1 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) -1) |
(+.f64 -1 (+.f64 (/.f64 y x) (-.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 x x) y))))) |
(-.f64 (+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)) |
(+.f64 (+.f64 -1 (/.f64 x y)) (/.f64 y x)) |
(+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))) |
(-.f64 (/.f64 x y) (-.f64 1 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) -1) |
(+.f64 -1 (+.f64 (/.f64 y x) (-.f64 (/.f64 x y) (/.f64 y (/.f64 (*.f64 x x) y))))) |
(-.f64 (+.f64 -1 (+.f64 (/.f64 x y) (/.f64 y x))) (*.f64 (/.f64 y x) (/.f64 y x))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(-.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (pow.f64 (/.f64 x y) 3)) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) |
(+.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) |
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(-.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (pow.f64 (/.f64 x y) 3)) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) |
(+.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) |
(fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 4) (pow.f64 (/.f64 x y) 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 8.8b | (*.f64 (/.f64 1 y) (*.f64 x x)) |
| ✓ | 9.4b | (/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
Compiled 32 to 14 computations (56.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
| 1× | batch-egg-rewrite |
| 566× | prod-diff_binary64 |
| 539× | log-prod_binary64 |
| 365× | pow-prod-down_binary64 |
| 257× | pow2_binary64 |
| 230× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 199 | 20 |
| 2 | 2966 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
(*.f64 (/.f64 1 y) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (*.f64 (+.f64 y x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (*.f64 x x) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 y x))) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (/.f64 1 (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) 1) (/.f64 (*.f64 x x) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 (/.f64 1 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (+.f64 y x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) 1) (/.f64 (/.f64 x (sqrt.f64 y)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 1) (/.f64 x (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) -2) (/.f64 (*.f64 x (/.f64 x y)) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 x (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y x) -1/2) (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (+.f64 y x))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 y x))) (/.f64 (/.f64 1 y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (sqrt.f64 (+.f64 y x))) (/.f64 x (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 y x) (pow.f64 x -2))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (+.f64 y x) (pow.f64 x -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (*.f64 (+.f64 y x) (pow.f64 x -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 x y)) (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 y x) (pow.f64 x -2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) x) (/.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1)))))) |
| 1× | egg-herbie |
| 702× | fma-def_binary64 |
| 673× | associate-/l*_binary64 |
| 422× | associate-/r*_binary64 |
| 412× | associate-*l/_binary64 |
| 404× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 678 |
| 1 | 104 | 651 |
| 2 | 292 | 612 |
| 3 | 1235 | 588 |
| 4 | 7337 | 588 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
| Outputs |
|---|
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)) |
(+.f64 (+.f64 (/.f64 x y) -1) (/.f64 y x)) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 y x)) -1) |
(-.f64 (/.f64 y x) (-.f64 1 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) -1) |
(+.f64 (/.f64 y x) (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 y x) (/.f64 y x))) -1)) |
(+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 1)) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) |
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 x (*.f64 x (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3)) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) |
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 x (*.f64 x (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3)) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) |
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 x (*.f64 x (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) |
(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3)) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(+.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 5) (pow.f64 y 5)))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(-.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 3)) (/.f64 (pow.f64 x 5) (pow.f64 y 5))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)) |
(+.f64 (+.f64 (/.f64 x y) -1) (/.f64 y x)) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 y x)) -1) |
(-.f64 (/.f64 y x) (-.f64 1 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) -1) |
(+.f64 (/.f64 y x) (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 y x) (/.f64 y x))) -1)) |
(+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 1)) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 x y)) 1) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 x y) -1)) |
(+.f64 (+.f64 (/.f64 x y) -1) (/.f64 y x)) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 y x)) -1) |
(-.f64 (/.f64 y x) (-.f64 1 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) -1) |
(+.f64 (/.f64 y x) (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 y x) (/.f64 y x))) -1)) |
(+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) 1)) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (/.f64 y x) 1))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
| ✓ | 25.3b | (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) |
Compiled 37 to 15 computations (59.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
| 1× | batch-egg-rewrite |
| 977× | pow1_binary64 |
| 912× | add-log-exp_binary64 |
| 912× | log1p-expm1-u_binary64 |
| 912× | expm1-log1p-u_binary64 |
| 111× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 220 | 8 |
| 2 | 3588 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 2) (/.f64 y (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 y 3)) (+.f64 0 (+.f64 (*.f64 y y) (*.f64 0 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y y) -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (*.f64 (+.f64 y x) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (*.f64 y y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 (/.f64 1 y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) 2) (cbrt.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y x))) (sqrt.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) 1) (/.f64 (*.f64 y y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) 1) (/.f64 (/.f64 1 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (+.f64 y x)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 y (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (*.f64 y y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y x))) (/.f64 y (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (+.f64 y x))) (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 y x))) (/.f64 (/.f64 1 y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y x)))))))) |
| 1× | egg-herbie |
| 758× | fma-def_binary64 |
| 634× | associate-/l*_binary64 |
| 449× | associate-/r*_binary64 |
| 418× | associate-*l/_binary64 |
| 395× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 510 |
| 1 | 96 | 480 |
| 2 | 283 | 426 |
| 3 | 1222 | 372 |
| 4 | 7507 | 372 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
| Outputs |
|---|
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (neg.f64 y) x) (/.f64 (*.f64 y y) (*.f64 x x))) |
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) |
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3)) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) -1) |
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1 (pow.f64 (/.f64 x y) 3)))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) -1) |
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1 (pow.f64 (/.f64 x y) 3)))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) -1) |
(+.f64 -1 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1 (pow.f64 (/.f64 x y) 3)))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (+.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (neg.f64 y) x) (/.f64 (*.f64 y y) (*.f64 x x))) |
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) |
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3)) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (neg.f64 y) x) (/.f64 (*.f64 y y) (*.f64 x x))) |
(-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) |
(-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3)) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) |
Compiled 4491 to 1561 computations (65.2% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 343 | 9 | 352 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 6 | 8 |
| Total | 346 | 16 | 362 |
| Status | Error | Program |
|---|---|---|
| ✓ | 51.0b | (/.f64 x y) |
| 25.6b | (*.f64 y (/.f64 1 (-.f64 y x))) | |
| ✓ | 0b | (fabs.f64 (-.f64 1 (/.f64 x y))) |
| 62.3b | (/.f64 (neg.f64 y) x) | |
| 25.3b | (*.f64 (/.f64 1 (+.f64 y x)) y) | |
| 25.2b | (/.f64 (/.f64 y 1) (+.f64 y x)) | |
| 62.1b | (*.f64 x (/.f64 x (*.f64 y y))) | |
| 62.1b | (/.f64 x (/.f64 (*.f64 y y) x)) | |
| ✓ | 62.9b | (/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
| ✓ | 24.8b | (fabs.f64 1) |
| 25.2b | (-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) | |
| ✓ | 36.9b | (fabs.f64 (/.f64 (neg.f64 x) y)) |
| ✓ | 62.6b | (/.f64 (neg.f64 y) (+.f64 y x)) |
| ✓ | 51.5b | (/.f64 (-.f64 x y) y) |
| 63.1b | -1 | |
| 62.9b | (/.f64 (/.f64 (*.f64 (*.f64 y y) -1) y) (+.f64 y x)) |
Compiled 131 to 87 computations (33.6% saved)
| Inputs |
|---|
-1 |
-1 |
-1 |
(/.f64 x y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) y) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
(*.f64 y (/.f64 1 (-.f64 y x))) |
(*.f64 (/.f64 1 (+.f64 y x)) y) |
(/.f64 (/.f64 y 1) (+.f64 y x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 x y) (/.f64 y y)) |
(*.f64 (/.f64 1 y) (-.f64 x y)) |
(-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) |
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) -1) y) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) |
(fabs.f64 1) |
(fabs.f64 (/.f64 (neg.f64 x) y)) |
(fabs.f64 (-.f64 1 (/.f64 x y))) |
(fabs.f64 (/.f64 (-.f64 y x) y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| Outputs |
|---|
(fabs.f64 (-.f64 1 (/.f64 x y))) |
4 calls:
| 15.0ms | y |
| 14.0ms | x |
| 11.0ms | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| 10.0ms | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| 0b | 1 | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
Compiled 189 to 87 computations (54% saved)
| Inputs |
|---|
-1 |
-1 |
-1 |
(/.f64 x y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) y) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
(*.f64 y (/.f64 1 (-.f64 y x))) |
(*.f64 (/.f64 1 (+.f64 y x)) y) |
(/.f64 (/.f64 y 1) (+.f64 y x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 x y) (/.f64 y y)) |
(*.f64 (/.f64 1 y) (-.f64 x y)) |
(-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) |
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) -1) y) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) |
(fabs.f64 1) |
(fabs.f64 (/.f64 (neg.f64 x) y)) |
| Outputs |
|---|
(fabs.f64 1) |
(fabs.f64 (/.f64 (neg.f64 x) y)) |
(fabs.f64 1) |
2 calls:
| 44.0ms | y |
| 33.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.5b | 3 | x |
| 13.3b | 3 | y |
Compiled 152 to 67 computations (55.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.533623143703852e-28 | 8.00490409734134e-25 |
| 17.0ms | -2.6648091360231168e-67 | -4.7329653393171526e-73 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
-1 |
-1 |
-1 |
(/.f64 x y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) y) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
(*.f64 y (/.f64 1 (-.f64 y x))) |
(*.f64 (/.f64 1 (+.f64 y x)) y) |
(/.f64 (/.f64 y 1) (+.f64 y x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 x y) (/.f64 y y)) |
(*.f64 (/.f64 1 y) (-.f64 x y)) |
(-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) |
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) -1) y) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) |
(fabs.f64 1) |
| Outputs |
|---|
(/.f64 x y) |
(fabs.f64 1) |
(/.f64 x y) |
2 calls:
| 35.0ms | y |
| 32.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.6b | 3 | x |
| 22.2b | 3 | y |
Compiled 147 to 64 computations (56.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 6.0376406963748116e+50 | 3.6240809357565316e+51 |
| 36.0ms | -5.681954555319016e+140 | -2.7778257812124538e+140 |
Compiled 69 to 55 computations (20.3% saved)
| Inputs |
|---|
-1 |
-1 |
-1 |
(/.f64 x y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) y) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
(*.f64 y (/.f64 1 (-.f64 y x))) |
(*.f64 (/.f64 1 (+.f64 y x)) y) |
(/.f64 (/.f64 y 1) (+.f64 y x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 x y) (/.f64 y y)) |
(*.f64 (/.f64 1 y) (-.f64 x y)) |
(-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) |
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 y x)) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) -1) y) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (*.f64 y (neg.f64 y))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 1 y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 y x)) |
| Outputs |
|---|
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) |
(/.f64 x y) |
2 calls:
| 31.0ms | y |
| 30.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.8b | 3 | x |
| 22.4b | 3 | y |
Compiled 145 to 62 computations (57.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 6.0376406963748116e+50 | 3.6240809357565316e+51 |
| 66.0ms | -1.0689192780359004e+126 | -3.475971519643144e+119 |
Compiled 176 to 127 computations (27.8% saved)
| Inputs |
|---|
-1 |
-1 |
-1 |
(/.f64 x y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) y) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
(*.f64 y (/.f64 1 (-.f64 y x))) |
(*.f64 (/.f64 1 (+.f64 y x)) y) |
(/.f64 (/.f64 y 1) (+.f64 y x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 x y) (/.f64 y y)) |
(*.f64 (/.f64 1 y) (-.f64 x y)) |
| Outputs |
|---|
(/.f64 x y) |
(/.f64 (/.f64 y 1) (+.f64 y x)) |
(/.f64 x y) |
2 calls:
| 25.0ms | y |
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.8b | 3 | x |
| 22.4b | 3 | y |
Compiled 78 to 36 computations (53.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 6.0376406963748116e+50 | 3.6240809357565316e+51 |
| 67.0ms | -1.0689192780359004e+126 | -3.475971519643144e+119 |
Compiled 158 to 109 computations (31% saved)
| Inputs |
|---|
-1 |
-1 |
-1 |
(/.f64 x y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) y) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
(*.f64 y (/.f64 1 (-.f64 y x))) |
(*.f64 (/.f64 1 (+.f64 y x)) y) |
| Outputs |
|---|
(/.f64 x y) |
(*.f64 (/.f64 1 (+.f64 y x)) y) |
(/.f64 x y) |
2 calls:
| 17.0ms | x |
| 17.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 21.9b | 3 | x |
| 22.5b | 3 | y |
Compiled 43 to 23 computations (46.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 6.0376406963748116e+50 | 3.6240809357565316e+51 |
| 67.0ms | -1.0689192780359004e+126 | -3.475971519643144e+119 |
Compiled 158 to 109 computations (31% saved)
| Inputs |
|---|
-1 |
-1 |
-1 |
(/.f64 x y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) y) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
(*.f64 y (/.f64 1 (-.f64 y x))) |
| Outputs |
|---|
(/.f64 x y) |
(*.f64 y (/.f64 1 (-.f64 y x))) |
(/.f64 x y) |
2 calls:
| 16.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.0b | 3 | x |
| 22.6b | 3 | y |
Compiled 36 to 20 computations (44.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 6.0376406963748116e+50 | 3.6240809357565316e+51 |
| 65.0ms | -1.0689192780359004e+126 | -3.475971519643144e+119 |
Compiled 158 to 109 computations (31% saved)
| Inputs |
|---|
-1 |
-1 |
-1 |
(/.f64 x y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) y) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
| Outputs |
|---|
(/.f64 x y) |
2 calls:
| 6.0ms | y |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 51.0b | 1 | x |
| 51.0b | 1 | y |
Compiled 29 to 16 computations (44.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
-1 |
-1 |
-1 |
| Outputs |
|---|
-1 |
2 calls:
| 5.0ms | x |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 63.1b | 1 | x |
| 63.1b | 1 | y |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 4× | fabs-mul_binary64 |
| 3× | fabs-sub_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 177 |
| 1 | 66 | 175 |
| 2 | 82 | 175 |
| 3 | 92 | 175 |
| 4 | 96 | 175 |
| 5 | 97 | 175 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fabs.f64 (-.f64 1 (/.f64 x y))) |
(if (<=.f64 y -8088815331673485/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (fabs.f64 1) (if (<=.f64 y 8400270507474643/11150372599265311570767859136324180752990208) (fabs.f64 (/.f64 (neg.f64 x) y)) (fabs.f64 1))) |
(if (<=.f64 x -559999999999999965506797490734870688079502394539699363214520881562400781091417655552177437846619685087874887501997776116746192753289771089920) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (fabs.f64 1) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (/.f64 (/.f64 y 1) (+.f64 y x)) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (*.f64 (/.f64 1 (+.f64 y x)) y) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (*.f64 y (/.f64 1 (-.f64 y x))) (/.f64 x y))) |
(/.f64 x y) |
-1 |
| Outputs |
|---|
(fabs.f64 (-.f64 1 (/.f64 x y))) |
(if (<=.f64 y -8088815331673485/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (fabs.f64 1) (if (<=.f64 y 8400270507474643/11150372599265311570767859136324180752990208) (fabs.f64 (/.f64 (neg.f64 x) y)) (fabs.f64 1))) |
(if (<=.f64 y -8088815331673485/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) 1 (if (<=.f64 y 8400270507474643/11150372599265311570767859136324180752990208) (fabs.f64 (/.f64 (neg.f64 x) y)) 1)) |
(if (<=.f64 y -8088815331673485/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) 1 (if (<=.f64 y 8400270507474643/11150372599265311570767859136324180752990208) (fabs.f64 (/.f64 x y)) 1)) |
(if (<=.f64 x -559999999999999965506797490734870688079502394539699363214520881562400781091417655552177437846619685087874887501997776116746192753289771089920) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (fabs.f64 1) (/.f64 x y))) |
(if (<=.f64 x -559999999999999965506797490734870688079502394539699363214520881562400781091417655552177437846619685087874887501997776116746192753289771089920) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) 1 (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (-.f64 (+.f64 1 (/.f64 y (+.f64 y x))) 1) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (+.f64 (+.f64 1 (/.f64 y (+.f64 x y))) -1) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (/.f64 (/.f64 y 1) (+.f64 y x)) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (/.f64 y (+.f64 x y)) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (*.f64 (/.f64 1 (+.f64 y x)) y) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (*.f64 y (/.f64 1 (+.f64 x y))) (/.f64 x y))) |
(if (<=.f64 x -1049999999999999958687831024323857790903593961955972822522108053369676841291238222448666070284693631858290535490637557407940608) (/.f64 x y) (if (<=.f64 x 603764069637481157232259696816225324578838243442688) (*.f64 y (/.f64 1 (-.f64 y x))) (/.f64 x y))) |
(/.f64 x y) |
-1 |
Compiled 141 to 86 computations (39% saved)
| 1× | egg-herbie |
| 20× | fma-def_binary64 |
| 12× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 183 |
| 1 | 15 | 147 |
| 2 | 24 | 147 |
| 3 | 33 | 147 |
| 4 | 44 | 147 |
| 5 | 59 | 147 |
| 6 | 74 | 147 |
| 7 | 91 | 147 |
| 8 | 102 | 147 |
| 9 | 116 | 147 |
| 1× | saturated |
Compiled 24 to 18 computations (25% saved)
Compiled 125 to 60 computations (52% saved)
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