Time bar (total: 4.4s)
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 46.8% | 3.2% | 7 |
| 59.3% | 37.5% | 3.2% | 8 |
| 67.1% | 25.8% | 7.1% | 9 |
| 72.6% | 20.3% | 7.1% | 10 |
| 76.9% | 13.5% | 9.7% | 11 |
| 79.8% | 10.5% | 9.7% | 12 |
Compiled 14 to 11 computations (21.4% saved)
| 1.4s | 8256× | body | 256 | valid |
| 38.0ms | 285× | body | 256 | invalid |
| 2× | egg-herbie |
| 1297× | fma-neg_binary64 |
| 334× | cancel-sign-sub-inv_binary64 |
| 295× | fma-def_binary64 |
| 254× | sub-neg_binary64 |
| 198× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 32 |
| 1 | 44 | 28 |
| 2 | 106 | 24 |
| 3 | 245 | 24 |
| 4 | 555 | 22 |
| 5 | 1210 | 22 |
| 6 | 2256 | 22 |
| 7 | 3467 | 22 |
| 8 | 3857 | 22 |
| 9 | 3875 | 22 |
| 10 | 3875 | 22 |
| 11 | 4533 | 22 |
| 12 | 4533 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) |
(fma.f64 x (-.f64 y 1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1)) (*.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000)) |
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 x (-.f64 1/2 y) y)) |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 706× | fma-neg_binary64 |
| 571× | fma-def_binary64 |
| 225× | cancel-sign-sub-inv_binary64 |
| 113× | sub-neg_binary64 |
| 83× | associate--r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 27 | 14 |
| 2 | 62 | 12 |
| 3 | 131 | 12 |
| 4 | 270 | 11 |
| 5 | 576 | 11 |
| 6 | 1098 | 11 |
| 7 | 1824 | 11 |
| 8 | 2606 | 11 |
| 9 | 2777 | 11 |
| 10 | 2804 | 11 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
Compiled 21 to 15 computations (28.6% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| ▶ | 0.0b | (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
Compiled 23 to 17 computations (26.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| ✓ | 0.0b | (*.f64 x (-.f64 y 1)) |
Compiled 38 to 26 computations (31.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 x (-.f64 y 1)) |
| 1.0ms | x | @ | inf | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 1.0ms | y | @ | inf | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 1.0ms | y | @ | 0 | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 1× | batch-egg-rewrite |
| 459× | log-prod_binary64 |
| 426× | fma-def_binary64 |
| 366× | prod-exp_binary64 |
| 341× | exp-prod_binary64 |
| 313× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 208 | 18 |
| 2 | 2756 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 y 1)) |
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (+.f64 (fma.f64 y y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (-.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (+.f64 (fma.f64 y y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (-.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 y -1))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 y -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (+.f64 y -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (+.f64 y -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 y -1)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 y -1)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 y -1)) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 -1 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y -1)) (*.f64 (*.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 y -1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 (*.f64 y y) 1/4)) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (*.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) (fma.f64 y -1/2 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))))))) (#(struct:change #<rule 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| 1× | egg-herbie |
| 305× | fma-neg_binary64 |
| 278× | fma-def_binary64 |
| 71× | cancel-sign-sub-inv_binary64 |
| 48× | sub-neg_binary64 |
| 39× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 391 |
| 1 | 57 | 373 |
| 2 | 145 | 373 |
| 3 | 294 | 373 |
| 4 | 646 | 373 |
| 5 | 1049 | 373 |
| 6 | 1251 | 373 |
| 7 | 1285 | 373 |
| 8 | 1288 | 373 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 -1 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)) |
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)) |
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)) |
| Outputs |
|---|
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 -1/2 y) |
(*.f64 y -1/2) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(neg.f64 (fma.f64 y (-.f64 1/2 x) x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (-.f64 1/2 x) x) |
Compiled 23 to 14 computations (39.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (fma.f64 y (-.f64 1/2 x) x) |
| 1.0ms | y | @ | 0 | (fma.f64 y (-.f64 1/2 x) x) |
| 1.0ms | x | @ | -inf | (fma.f64 y (-.f64 1/2 x) x) |
| 0.0ms | x | @ | inf | (fma.f64 y (-.f64 1/2 x) x) |
| 0.0ms | x | @ | 0 | (fma.f64 y (-.f64 1/2 x) x) |
| 1× | batch-egg-rewrite |
| 706× | pow1_binary64 |
| 657× | add-log-exp_binary64 |
| 657× | log1p-expm1-u_binary64 |
| 657× | expm1-log1p-u_binary64 |
| 645× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 132 | 8 |
| 2 | 1675 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (-.f64 1/2 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (-.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 1/2 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (-.f64 1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 2) (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x)) (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 1/2 x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (-.f64 1/2 x)) (*.f64 y (-.f64 1/2 x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (-.f64 1/2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 1/2 x)) (*.f64 y (-.f64 1/2 x))) (*.f64 x x)) (-.f64 (*.f64 y (-.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 1/2 x) x))))))) |
| 1× | egg-herbie |
| 276× | fma-def_binary64 |
| 250× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 49× | distribute-rgt-in_binary64 |
| 40× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 181 |
| 1 | 41 | 177 |
| 2 | 84 | 177 |
| 3 | 174 | 177 |
| 4 | 329 | 177 |
| 5 | 601 | 177 |
| 6 | 883 | 177 |
| 7 | 1093 | 177 |
| 8 | 1193 | 177 |
| 9 | 1197 | 177 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 1/2 y) |
(*.f64 y 1/2) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 x (+.f64 1 (neg.f64 y))) |
(*.f64 x (-.f64 1 y)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(*.f64 x (+.f64 1 (neg.f64 y))) |
(*.f64 x (-.f64 1 y)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (-.f64 1/2 x) x) |
Compiled 5076 to 3701 computations (27.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 256 | 5 | 261 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 258 | 5 | 263 |
| Status | Error | Program |
|---|---|---|
| ▶ | 27.5b | (-.f64 918938533204673/1000000000000000 x) |
| ▶ | 18.5b | (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| ▶ | 26.6b | (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
| ▶ | 18.5b | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| ▶ | 0.0b | (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 1/2 x)) x)) |
Compiled 86 to 66 computations (23.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 1/2 x)) |
Compiled 30 to 19 computations (36.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 y (-.f64 1/2 x)) |
| 0.0ms | y | @ | 0 | (*.f64 y (-.f64 1/2 x)) |
| 0.0ms | y | @ | -inf | (*.f64 y (-.f64 1/2 x)) |
| 0.0ms | x | @ | 0 | (*.f64 y (-.f64 1/2 x)) |
| 0.0ms | x | @ | inf | (*.f64 y (-.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 691× | pow1_binary64 |
| 643× | add-log-exp_binary64 |
| 643× | log1p-expm1-u_binary64 |
| 643× | expm1-log1p-u_binary64 |
| 632× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 131 | 7 |
| 2 | 1662 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 1/2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 x 3)) y) (+.f64 1/4 (*.f64 x (+.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) y) (+.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1/2 x)))))))) |
| 1× | egg-herbie |
| 197× | fma-def_binary64 |
| 107× | fma-neg_binary64 |
| 35× | cancel-sign-sub-inv_binary64 |
| 21× | sub-neg_binary64 |
| 20× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 106 |
| 1 | 17 | 106 |
| 2 | 35 | 79 |
| 3 | 58 | 79 |
| 4 | 86 | 79 |
| 5 | 135 | 79 |
| 6 | 228 | 79 |
| 7 | 323 | 79 |
| 8 | 466 | 79 |
| 9 | 653 | 79 |
| 10 | 667 | 79 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.f64 y x))) |
(-.f64 (*.f64 1/2 y) (*.f64 y x)) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.f64 y x))) |
(-.f64 (*.f64 1/2 y) (*.f64 y x)) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.f64 y x))) |
(-.f64 (*.f64 1/2 y) (*.f64 y x)) |
(*.f64 y (-.f64 1/2 x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.f64 y x))) |
(-.f64 (*.f64 1/2 y) (*.f64 y x)) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.f64 y x))) |
(-.f64 (*.f64 1/2 y) (*.f64 y x)) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.f64 y x))) |
(-.f64 (*.f64 1/2 y) (*.f64 y x)) |
(*.f64 y (-.f64 1/2 x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.f64 y x))) |
(-.f64 (*.f64 1/2 y) (*.f64 y x)) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.f64 y x))) |
(-.f64 (*.f64 1/2 y) (*.f64 y x)) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.f64 y x))) |
(-.f64 (*.f64 1/2 y) (*.f64 y x)) |
(*.f64 y (-.f64 1/2 x)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 13 to 10 computations (23.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (-.f64 1/2 x)) |
Compiled 21 to 14 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
Compiled 28 to 15 computations (46.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 1.0ms | y | @ | 0 | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 0.0ms | y | @ | -inf | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 1× | batch-egg-rewrite |
| 866× | pow1_binary64 |
| 807× | add-log-exp_binary64 |
| 807× | log1p-expm1-u_binary64 |
| 807× | expm1-log1p-u_binary64 |
| 792× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 165 | 7 |
| 2 | 2208 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (*.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 (*.f64 y -1/2) (fma.f64 -1/2 y (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 1/4 (*.f64 y y))) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (*.f64 1/8 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y 1/2) (*.f64 y (+.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 1/4 (*.f64 y y))) (/.f64 1 (*.f64 y (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y 1/2) (*.f64 y (+.f64 x 1/2)))) (-.f64 (pow.f64 (*.f64 y x) 3) (*.f64 1/8 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (+.f64 x 1/2)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (*.f64 1/8 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y 1/2) (*.f64 y (+.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 1/4 (*.f64 y y))) (*.f64 y (+.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (*.f64 1/8 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y 1/2) (*.f64 y (+.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 1/4 (*.f64 y y)))) (neg.f64 (*.f64 y (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -1/2) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 (*.f64 y x) (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) (*.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) (-.f64 (*.f64 y x) (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))) (-.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 x -1/2) (fma.f64 -1/2 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 x -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2)))))) |
| 1× | egg-herbie |
| 92× | fma-neg_binary64 |
| 71× | fma-def_binary64 |
| 24× | cancel-sign-sub-inv_binary64 |
| 22× | associate-*r*_binary64 |
| 20× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 159 |
| 1 | 36 | 159 |
| 2 | 95 | 159 |
| 3 | 164 | 159 |
| 4 | 267 | 159 |
| 5 | 416 | 159 |
| 6 | 511 | 159 |
| 7 | 518 | 159 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 -1/2 y) |
(*.f64 y -1/2) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
Compiled 1472 to 1025 computations (30.4% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 2 | 107 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 106 | 6 | 112 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.5b | (-.f64 918938533204673/1000000000000000 x) |
| ▶ | 38.5b | (+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
| ✓ | 18.5b | (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| ▶ | 20.0b | (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
| ✓ | 26.6b | (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
| ✓ | 18.5b | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
Compiled 49 to 37 computations (24.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
| 1× | batch-egg-rewrite |
| 663× | pow1_binary64 |
| 619× | add-log-exp_binary64 |
| 619× | log1p-expm1-u_binary64 |
| 619× | expm1-log1p-u_binary64 |
| 608× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 131 | 5 |
| 2 | 1629 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y x -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y x 918938533204673/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 x 918938533204673/1000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (fma.f64 y x -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 x 918938533204673/1000000000000000)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x -918938533204673/1000000000000000) (+.f64 (pow.f64 (*.f64 y x) 2) -844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 x 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y x -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 x 918938533204673/1000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (fma.f64 y x -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x 918938533204673/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x 918938533204673/1000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x 918938533204673/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x 918938533204673/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x 918938533204673/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x 918938533204673/1000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 918938533204673/1000000000000000))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 144 |
| 1 | 8 | 108 |
| 2 | 10 | 108 |
| 1× | saturated |
| Inputs |
|---|
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
| Outputs |
|---|
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y x)) |
(fma.f64 y x 918938533204673/1000000000000000) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y (neg.f64 x)) x) |
| ✓ | 0.0b | (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
Compiled 25 to 8 computations (68% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 y (neg.f64 x)) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 y (neg.f64 x)) x) |
| 0.0ms | x | @ | 0 | (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
| 0.0ms | y | @ | -inf | (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
| 1× | batch-egg-rewrite |
| 921× | pow1_binary64 |
| 861× | add-log-exp_binary64 |
| 860× | log1p-expm1-u_binary64 |
| 860× | expm1-log1p-u_binary64 |
| 100× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 189 | 13 |
| 2 | 2816 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
(+.f64 (*.f64 y (neg.f64 x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 918938533204673/1000000000000000 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))) (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y x x) 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y x x) (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y x x) 2)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y x x) (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y x x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y x x) (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y x x) 2)) (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y x x) 3))) (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y x x) (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y x x) 2))) (neg.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (+.f64 918938533204673/1000000000000000 (*.f64 y x))) (+.f64 (*.f64 x x) (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y x x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 y x x) 2) (*.f64 918938533204673/1000000000000000 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (+.f64 918938533204673/1000000000000000 (*.f64 y x))) (*.f64 x x)) (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y x x) 2) (/.f64 1 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (neg.f64 (cbrt.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x x)) (neg.f64 (sqrt.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2)) (cbrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 y x x))) (sqrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x x) (pow.f64 (fma.f64 y x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 y x x) 2) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 y x x) 2)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 y) x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x)))))) |
| 1× | egg-herbie |
| 177× | fma-def_binary64 |
| 130× | fma-neg_binary64 |
| 46× | cancel-sign-sub-inv_binary64 |
| 42× | distribute-rgt-in_binary64 |
| 33× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 392 |
| 1 | 61 | 335 |
| 2 | 122 | 331 |
| 3 | 262 | 331 |
| 4 | 516 | 331 |
| 5 | 716 | 331 |
| 6 | 785 | 331 |
| 7 | 838 | 331 |
| 8 | 865 | 331 |
| 9 | 869 | 331 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) |
x |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
| Outputs |
|---|
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(neg.f64 (*.f64 x (-.f64 1 y))) |
(*.f64 x (neg.f64 (-.f64 1 y))) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(neg.f64 (*.f64 x (-.f64 1 y))) |
(*.f64 x (neg.f64 (-.f64 1 y))) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) x)) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 -1 (*.f64 (-.f64 y 1) x)) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(fma.f64 y (neg.f64 x) x) |
Compiled 1563 to 806 computations (48.4% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 3 | 135 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 134 | 7 | 141 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.5b | (-.f64 918938533204673/1000000000000000 x) |
| ✓ | 18.5b | (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| ▶ | 54.9b | (*.f64 y x) |
| ✓ | 26.6b | (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
| 45.9b | 918938533204673/1000000000000000 | |
| ✓ | 18.5b | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| ▶ | 36.4b | (-.f64 (*.f64 x y) x) |
Compiled 47 to 35 computations (25.5% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x y) x) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 x y) x) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 x y) x) |
| 0.0ms | y | @ | -inf | (-.f64 (*.f64 x y) x) |
| 0.0ms | y | @ | inf | (-.f64 (*.f64 x y) x) |
| 0.0ms | y | @ | 0 | (-.f64 (*.f64 x y) x) |
| 1× | batch-egg-rewrite |
| 628× | pow1_binary64 |
| 584× | add-log-exp_binary64 |
| 584× | log1p-expm1-u_binary64 |
| 584× | expm1-log1p-u_binary64 |
| 571× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 111 | 7 |
| 2 | 1573 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 2) (cbrt.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x))) (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x y x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 x y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))) (neg.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 85× | fma-def_binary64 |
| 53× | fma-neg_binary64 |
| 21× | associate-*l*_binary64 |
| 17× | cancel-sign-sub-inv_binary64 |
| 17× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 158 |
| 1 | 32 | 158 |
| 2 | 66 | 158 |
| 3 | 136 | 158 |
| 4 | 277 | 158 |
| 5 | 389 | 158 |
| 6 | 447 | 158 |
| 7 | 451 | 158 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
| Outputs |
|---|
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (neg.f64 x)) |
Compiled 487 to 176 computations (63.9% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 1 | 44 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 43 | 8 | 51 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.5b | (-.f64 918938533204673/1000000000000000 x) |
| ✓ | 18.5b | (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 43.9b | (neg.f64 x) | |
| ✓ | 54.9b | (*.f64 y x) |
| ✓ | 26.6b | (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
| 45.9b | 918938533204673/1000000000000000 | |
| ✓ | 18.5b | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| ✓ | 36.4b | (-.f64 (*.f64 x y) x) |
Compiled 51 to 38 computations (25.5% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 1/2 x)) x)) |
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
4 calls:
| 11.0ms | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 9.0ms | y |
| 8.0ms | x |
| 7.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 0.0b | 1 | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
Compiled 108 to 70 computations (35.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 1/2 x)) x)) |
| Outputs |
|---|
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 1/2 x)) x)) |
2 calls:
| 7.0ms | x |
| 7.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
Compiled 65 to 39 computations (40% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
2 calls:
| 19.0ms | x |
| 18.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.4b | 3 | y |
Compiled 56 to 33 computations (41.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 106737.95556671206 | 8322164.955878114 |
| 20.0ms | -1.7985033032351837e-8 | -1.3462030755435514e-8 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
| Outputs |
|---|
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) |
2 calls:
| 18.0ms | y |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
| 0.4b | 3 | y |
Compiled 47 to 28 computations (40.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 106737.95556671206 | 8322164.955878114 |
| 20.0ms | -1.7985033032351837e-8 | -1.3462030755435514e-8 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| Outputs |
|---|
(-.f64 (*.f64 x y) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(-.f64 (*.f64 x y) x) |
2 calls:
| 16.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | x |
| 0.5b | 3 | y |
Compiled 39 to 24 computations (38.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 106737.95556671206 | 8322164.955878114 |
| 21.0ms | -2.7769650490829796e+20 | -12114340586348.463 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
| Outputs |
|---|
(-.f64 (*.f64 x y) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 (*.f64 x y) x) |
2 calls:
| 20.0ms | y |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 3 | x |
| 6.3b | 4 | y |
Compiled 32 to 19 computations (40.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 4.961705851785105e-5 | 42.6667914569012 |
| 20.0ms | -12114340586348.463 | -1.7985033032351837e-8 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) 918938533204673/1000000000000000) |
| Outputs |
|---|
(-.f64 (*.f64 x y) x) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (*.f64 x y) x) |
2 calls:
| 15.0ms | y |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.2b | 3 | x |
| 20.0b | 3 | y |
Compiled 27 to 15 computations (44.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.00020283490054536806 | 0.0016066581281774998 |
| 20.0ms | -5144.366923920353 | -6.146528595157757e-7 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
| Outputs |
|---|
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y x) |
2 calls:
| 23.0ms | y |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 27.5b | 1 | x |
| 20.3b | 3 | y |
Compiled 17 to 11 computations (35.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 0.013192893329432416 | 4139497.73749624 |
| 33.0ms | -5144.366923920353 | -6.146528595157757e-7 |
Compiled 18 to 14 computations (22.2% saved)
Total -35.0b remaining (-125.8%)
Threshold costs -35.0b (-125.8%)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y x) |
| Outputs |
|---|
(neg.f64 x) |
918938533204673/1000000000000000 |
(neg.f64 x) |
2 calls:
| 55.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 27.8b | 3 | x |
| 31.8b | 8 | y |
Compiled 14 to 9 computations (35.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 6.473714356114695e-19 | 1.094787081841121e-15 |
| 38.0ms | -12114340586348.463 | -1.7985033032351837e-8 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
| 68× | cancel-sign-sub-inv_binary64 |
| 51× | distribute-rgt-neg-in_binary64 |
| 33× | distribute-lft-neg-in_binary64 |
| 32× | unsub-neg_binary64 |
| 31× | neg-sub0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 267 |
| 1 | 98 | 259 |
| 2 | 143 | 259 |
| 3 | 179 | 259 |
| 4 | 219 | 259 |
| 5 | 271 | 259 |
| 6 | 343 | 259 |
| 7 | 421 | 259 |
| 8 | 466 | 259 |
| 9 | 490 | 259 |
| 10 | 499 | 259 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 1/2 x)) x)) |
(if (<=.f64 x -5435642699858031/302231454903657293676544) (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) (if (<=.f64 x 7334976454414871/68719476736) (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)))) |
(if (<=.f64 x -5435642699858031/302231454903657293676544) (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) (if (<=.f64 x 7334976454414871/68719476736) (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)))) |
(if (<=.f64 x -277696504908297961472) (-.f64 (*.f64 x y) x) (if (<=.f64 x 7334976454414871/68719476736) (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) (-.f64 (*.f64 x y) x))) |
(if (<=.f64 x -6202542380210413/512) (-.f64 (*.f64 x y) x) (if (<=.f64 x 7322185441352551/147573952589676412928) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) (-.f64 (*.f64 x y) x))) |
(if (<=.f64 y -5656291250396681/1099511627776) (-.f64 (*.f64 x y) x) (if (<=.f64 y 7483286999153469/36893488147419103232) (-.f64 918938533204673/1000000000000000 x) (-.f64 (*.f64 x y) x))) |
(if (<=.f64 y -5656291250396681/1099511627776) (*.f64 y x) (if (<=.f64 y 1901296303435857/144115188075855872) (-.f64 918938533204673/1000000000000000 x) (*.f64 y x))) |
(if (<=.f64 x -6202542380210413/512) (neg.f64 x) (if (<=.f64 x 6722689342861229/10384593717069655257060992658440192) 918938533204673/1000000000000000 (neg.f64 x))) |
918938533204673/1000000000000000 |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 1/2 x)) x)) |
(-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (-.f64 1/2 x)))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(if (<=.f64 x -5435642699858031/302231454903657293676544) (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) (if (<=.f64 x 7334976454414871/68719476736) (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)))) |
(if (<=.f64 x -5435642699858031/302231454903657293676544) (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (neg.f64 x)))) (if (<=.f64 x 7334976454414871/68719476736) (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x y) (*.f64 y 1/2))) (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (neg.f64 x)))))) |
(if (<=.f64 x -5435642699858031/302231454903657293676544) (-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 x y))) (if (<=.f64 x 7334976454414871/68719476736) (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x y) (*.f64 y -1/2))) (-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 x y))))) |
(if (<=.f64 x -5435642699858031/302231454903657293676544) (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)) (if (<=.f64 x 7334976454414871/68719476736) (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) (-.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (neg.f64 x)) x)))) |
(if (<=.f64 x -5435642699858031/302231454903657293676544) (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (neg.f64 x)))) (if (<=.f64 x 7334976454414871/68719476736) (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (neg.f64 x)))))) |
(if (<=.f64 x -5435642699858031/302231454903657293676544) (-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 x y))) (if (<=.f64 x 7334976454414871/68719476736) (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) (-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 x y))))) |
(if (<=.f64 x -5435642699858031/302231454903657293676544) (-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 x y))) (if (<=.f64 x 7334976454414871/68719476736) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 x y))))) |
(if (<=.f64 x -277696504908297961472) (-.f64 (*.f64 x y) x) (if (<=.f64 x 7334976454414871/68719476736) (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) (-.f64 (*.f64 x y) x))) |
(if (<=.f64 x -277696504908297961472) (-.f64 (*.f64 x y) x) (if (<=.f64 x 7334976454414871/68719476736) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (-.f64 (*.f64 x y) x))) |
(if (<=.f64 x -6202542380210413/512) (-.f64 (*.f64 x y) x) (if (<=.f64 x 7322185441352551/147573952589676412928) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) (-.f64 (*.f64 x y) x))) |
(if (<=.f64 x -6202542380210413/512) (-.f64 (*.f64 x y) x) (if (<=.f64 x 7322185441352551/147573952589676412928) (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) (-.f64 (*.f64 x y) x))) |
(if (<=.f64 y -5656291250396681/1099511627776) (-.f64 (*.f64 x y) x) (if (<=.f64 y 7483286999153469/36893488147419103232) (-.f64 918938533204673/1000000000000000 x) (-.f64 (*.f64 x y) x))) |
(if (<=.f64 y -5656291250396681/1099511627776) (*.f64 y x) (if (<=.f64 y 1901296303435857/144115188075855872) (-.f64 918938533204673/1000000000000000 x) (*.f64 y x))) |
(if (<=.f64 y -5656291250396681/1099511627776) (*.f64 x y) (if (<=.f64 y 1901296303435857/144115188075855872) (-.f64 918938533204673/1000000000000000 x) (*.f64 x y))) |
(if (<=.f64 x -6202542380210413/512) (neg.f64 x) (if (<=.f64 x 6722689342861229/10384593717069655257060992658440192) 918938533204673/1000000000000000 (neg.f64 x))) |
918938533204673/1000000000000000 |
Compiled 200 to 121 computations (39.5% saved)
Compiled 182 to 95 computations (47.8% saved)
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