Time bar (total: 7.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 51.6% | 50% | 46.8% | 0.1% | 3.1% | 0% | 0% | 7 |
| 61.3% | 59.3% | 37.5% | 0.1% | 3.1% | 0% | 0% | 8 |
| 72.3% | 67.1% | 25.8% | 0.1% | 7% | 0% | 0% | 9 |
| 78.2% | 72.6% | 20.3% | 0.1% | 7% | 0% | 0% | 10 |
| 85.1% | 76.9% | 13.5% | 0.1% | 9.6% | 0% | 0% | 11 |
| 88.3% | 79.8% | 10.5% | 0.1% | 9.6% | 0% | 0% | 12 |
Compiled 14 to 11 computations (21.4% saved)
| 1.1s | 8256× | body | 256 | valid |
| 28.0ms | 282× | body | 256 | infinite |
| 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| ✓ | 0.0b | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| ✓ | 0.0b | (*.f64 x (-.f64 y 1)) |
Compiled 38 to 26 computations (31.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 x (-.f64 y 1)) |
| 1.0ms | x | @ | 0 | (*.f64 x (-.f64 y 1)) |
| 1.0ms | x | @ | inf | (*.f64 x (-.f64 y 1)) |
| 1.0ms | x | @ | -inf | (*.f64 x (-.f64 y 1)) |
| 1.0ms | x | @ | inf | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 1× | batch-egg-rewrite |
| 614× | fma-def_binary64 |
| 552× | log-prod_binary64 |
| 402× | fma-neg_binary64 |
| 321× | pow2_binary64 |
| 221× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 261 | 32 |
| 2 | 3509 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 y 1)) |
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.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) (fma.f64 y y (-.f64 y -1)))))) (#(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)) (fma.f64 y y (-.f64 y -1)))))) (#(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 (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 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 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)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000))) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000)) (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3)) (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 -918938533204673/1000000000000000)) (+.f64 (pow.f64 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| 1× | egg-herbie |
| 800× | fma-neg_binary64 |
| 617× | fma-def_binary64 |
| 152× | cancel-sign-sub-inv_binary64 |
| 147× | sub-neg_binary64 |
| 81× | associate-+l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 684 |
| 1 | 87 | 646 |
| 2 | 210 | 608 |
| 3 | 504 | 608 |
| 4 | 1215 | 608 |
| 5 | 2023 | 608 |
| 6 | 2559 | 608 |
| 7 | 2745 | 608 |
| 8 | 2822 | 608 |
| 9 | 2826 | 608 |
| 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 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 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 1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (+.f64 y -1) x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 y x) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(fma.f64 y -1/2 918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (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 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (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 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 (neg.f64 x) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (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 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (-.f64 1/2 x) x) |
| ✓ | 0.0b | (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
Compiled 23 to 14 computations (39.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
| 1.0ms | y | @ | -inf | (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
| 1.0ms | y | @ | 0 | (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
| 1.0ms | x | @ | -inf | (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
| 0.0ms | x | @ | inf | (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
| 1× | batch-egg-rewrite |
| 466× | unpow-prod-down_binary64 |
| 383× | log-prod_binary64 |
| 302× | exp-prod_binary64 |
| 262× | prod-exp_binary64 |
| 245× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 184 | 19 |
| 2 | 2390 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(fma.f64 y (-.f64 1/2 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 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918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 2) (neg.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x)) (neg.f64 (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) 2) (cbrt.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) (sqrt.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 2)) (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x))) (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x)) 918938533204673/1000000000000000))))) |
((#(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 0 (fma.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 1/2 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 1/2 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (pow.f64 1 1/3) (fma.f64 y (-.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 2) 3) (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 5/2) 1/3) (cbrt.f64 (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 (pow.f64 (*.f64 y (-.f64 1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (-.f64 1/2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 1/2 x)) 2) (*.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) 2) 1/2)))) (#(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 pow.f64 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 y (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (-.f64 1/2 x) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (-.f64 1/2 x) x)))) (sqrt.f64 (log.f64 (fma.f64 y (-.f64 1/2 x) x))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 1/2 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1/2 x)) y) (+.f64 1 (expm1.f64 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 1/2 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 1/2 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 1/2 x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 1/2 x) x)) 3) 1/3)))))) |
| 1× | egg-herbie |
| 710× | fma-def_binary64 |
| 682× | fma-neg_binary64 |
| 145× | distribute-rgt-in_binary64 |
| 135× | cancel-sign-sub-inv_binary64 |
| 134× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 454 |
| 1 | 99 | 418 |
| 2 | 215 | 412 |
| 3 | 623 | 412 |
| 4 | 1428 | 412 |
| 5 | 2360 | 412 |
| 6 | 2814 | 412 |
| 7 | 3121 | 412 |
| 8 | 3222 | 412 |
| 9 | 3229 | 412 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(*.f64 y (-.f64 x 1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(*.f64 -1 (*.f64 y (-.f64 1/2 x))) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y)) |
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 |
|---|
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 -1 (*.f64 y (-.f64 1/2 x))) |
(*.f64 y (+.f64 x -1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) |
(fma.f64 y -1/2 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 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 (*.f64 x y) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 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 (*.f64 x y) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (-.f64 1 y) x))) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 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 (*.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 y)) |
(-.f64 x (*.f64 x y)) |
(+.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 y)) |
(-.f64 x (*.f64 x y)) |
(+.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 8176 to 5946 computations (27.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 432 | 8 | 440 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 434 | 8 | 442 |
| Status | Error | Program |
|---|---|---|
| ▶ | 27.6b | (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
| ▶ | 0.0b | (-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
| 20.2b | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) | |
| ▶ | 20.2b | (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| ▶ | 26.8b | (-.f64 918938533204673/1000000000000000 x) |
| ▶ | 36.1b | (*.f64 -1 (*.f64 (-.f64 1 y) x)) |
| 36.1b | (-.f64 (*.f64 x y) x) | |
| 37.0b | (*.f64 y (-.f64 x 1/2)) |
Compiled 136 to 102 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
| ✓ | 0.0b | (*.f64 (-.f64 y 1) x) |
Compiled 36 to 25 computations (30.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
| 1.0ms | y | @ | -inf | (-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
| 1.0ms | y | @ | inf | (-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
| 1.0ms | y | @ | 0 | (*.f64 (-.f64 y 1) x) |
| 0.0ms | y | @ | 0 | (-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
| 1× | batch-egg-rewrite |
| 543× | log-prod_binary64 |
| 461× | fma-def_binary64 |
| 375× | pow-prod-down_binary64 |
| 315× | pow2_binary64 |
| 281× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 1 | 254 | 29 |
| 2 | 3425 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 y 1) x) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y -1) x))))) (#(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 (exp.f64 (*.f64 (+.f64 y -1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 y -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 y -1) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 y -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y -1) x))) 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 (+.f64 y -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y -1) x) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y -1) x) (*.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) x (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 (*.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (fma.f64 -1/2 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) (*.f64 (+.f64 y -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))) 2) (cbrt.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 3) (*.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 (*.f64 y 1/2) (fma.f64 y 1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2) (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (fma.f64 y 1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (sqrt.f64 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y 1/2) (fma.f64 y 1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2)) (-.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 3) (*.f64 1/8 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y 1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (-.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2) (*.f64 (*.f64 y y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 3) (*.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y 1/2) (fma.f64 y 1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2) (*.f64 (*.f64 y y) 1/4)) (fma.f64 y 1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 3) (*.f64 1/8 (pow.f64 y 3)))) (neg.f64 (fma.f64 (*.f64 y 1/2) (fma.f64 y 1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2) (*.f64 (*.f64 y y) 1/4))) (neg.f64 (fma.f64 y 1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) 2) (*.f64 (*.f64 (+.f64 y -1) x) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 3) (pow.f64 (*.f64 y -1/2) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2) (-.f64 (pow.f64 (*.f64 y -1/2) 2) (*.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) 2)) (-.f64 (*.f64 (+.f64 y -1) x) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) 2) (pow.f64 (*.f64 y -1/2) 2)) (-.f64 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/2 (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/2 (fma.f64 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| 1× | egg-herbie |
| 825× | fma-neg_binary64 |
| 676× | fma-def_binary64 |
| 147× | cancel-sign-sub-inv_binary64 |
| 139× | sub-neg_binary64 |
| 80× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 489 |
| 1 | 80 | 455 |
| 2 | 195 | 423 |
| 3 | 456 | 423 |
| 4 | 1237 | 423 |
| 5 | 2075 | 423 |
| 6 | 2621 | 423 |
| 7 | 2807 | 423 |
| 8 | 2884 | 423 |
| 9 | 2888 | 423 |
| 1× | saturated |
| Inputs |
|---|
(*.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 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(*.f64 y x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
918938533204673/1000000000000000 |
(*.f64 (-.f64 y 1) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(*.f64 (-.f64 y 1) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 (neg.f64 x) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (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 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) |
(fma.f64 y -1/2 918938533204673/1000000000000000) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x))) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 (neg.f64 x) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
918938533204673/1000000000000000 |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 -1 y) 918938533204673/1000000000000000) |
(-.f64 (fma.f64 x y 918938533204673/1000000000000000) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 918938533204673/1000000000000000 x) |
Compiled 7 to 5 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 918938533204673/1000000000000000 x) |
| 0.0ms | x | @ | inf | (-.f64 918938533204673/1000000000000000 x) |
| 0.0ms | x | @ | -inf | (-.f64 918938533204673/1000000000000000 x) |
| 1× | batch-egg-rewrite |
| 493× | pow1_binary64 |
| 487× | add-sqr-sqrt_binary64 |
| 465× | add-log-exp_binary64 |
| 465× | log1p-expm1-u_binary64 |
| 465× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 92 | 4 |
| 2 | 1177 | 4 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 x) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) (neg.f64 (+.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (neg.f64 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 918938533204673/1000000000000000 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x))))))) |
| 1× | egg-herbie |
| 7× | sub-neg_binary64 |
| 6× | fma-def_binary64 |
| 4× | +-commutative_binary64 |
| 3× | associate-+l-_binary64 |
| 3× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 61 |
| 1 | 9 | 43 |
| 2 | 14 | 43 |
| 3 | 18 | 43 |
| 4 | 25 | 43 |
| 5 | 35 | 43 |
| 6 | 47 | 43 |
| 7 | 59 | 43 |
| 8 | 62 | 43 |
| 1× | saturated |
| Inputs |
|---|
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
| Outputs |
|---|
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
Compiled 13 to 10 computations (23.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1 y) x) |
Compiled 21 to 14 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (-.f64 1 y) x) |
| 1.0ms | x | @ | -inf | (*.f64 (-.f64 1 y) x) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 1 y) x) |
| 1.0ms | y | @ | 0 | (*.f64 (-.f64 1 y) x) |
| 1.0ms | y | @ | inf | (*.f64 (-.f64 1 y) x) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 122 | 7 |
| 2 | 1510 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 y) x))))))) |
| 1× | egg-herbie |
| 140× | fma-def_binary64 |
| 84× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 21× | associate-*r*_binary64 |
| 19× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 85 |
| 1 | 14 | 76 |
| 2 | 33 | 76 |
| 3 | 51 | 76 |
| 4 | 72 | 76 |
| 5 | 146 | 76 |
| 6 | 283 | 76 |
| 7 | 392 | 76 |
| 8 | 475 | 76 |
| 9 | 539 | 76 |
| 1× | saturated |
| Inputs |
|---|
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))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| ✓ | 0.0b | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
Compiled 28 to 15 computations (46.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 1.0ms | y | @ | inf | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 1.0ms | y | @ | 0 | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 1.0ms | y | @ | -inf | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 1.0ms | x | @ | -inf | (-.f64 (*.f64 y x) (*.f64 y 1/2)) |
| 1× | batch-egg-rewrite |
| 625× | fma-def_binary64 |
| 499× | log-prod_binary64 |
| 381× | fma-neg_binary64 |
| 312× | pow-prod-down_binary64 |
| 279× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 218 | 15 |
| 2 | 2967 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 y x) (*.f64 y 1/2)) |
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 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) (fma.f64 y -1/2 (fma.f64 y -1/2 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (fma.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))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (*.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -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 (fma.f64 y -1/2 (*.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 0 (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))))))) (#(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))) (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)))))) 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(*.f64 y x)) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (+.f64 (fma.f64 y -1/2 (*.f64 y 1/2)) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 y -1/2 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y -1/2 918938533204673/1000000000000000)))))) |
| 1× | egg-herbie |
| 210× | fma-neg_binary64 |
| 208× | fma-def_binary64 |
| 46× | cancel-sign-sub-inv_binary64 |
| 39× | sub-neg_binary64 |
| 26× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 369 |
| 1 | 53 | 333 |
| 2 | 123 | 331 |
| 3 | 236 | 331 |
| 4 | 455 | 331 |
| 5 | 685 | 331 |
| 6 | 854 | 331 |
| 7 | 917 | 331 |
| 8 | 949 | 331 |
| 9 | 953 | 331 |
| 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)) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
| 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 y (-.f64 x 1/2)) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.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 y (-.f64 x 1/2)) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1/2)) |
(*.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 y (-.f64 x 1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) |
(fma.f64 y -1/2 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) |
Compiled 10152 to 7110 computations (30% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 607 | 3 | 610 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 608 | 10 | 618 |
| Status | Error | Program |
|---|---|---|
| ✓ | 26.8b | (-.f64 918938533204673/1000000000000000 x) |
| ▶ | 43.7b | (neg.f64 x) |
| ✓ | 27.6b | (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
| ▶ | 20.2b | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| ✓ | 20.2b | (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| ▶ | 36.1b | (-.f64 (*.f64 x y) x) |
| 45.8b | 918938533204673/1000000000000000 | |
| ▶ | 37.0b | (*.f64 y (-.f64 x 1/2)) |
| ▶ | 36.1b | (*.f64 (-.f64 y 1) x) |
Compiled 107 to 79 computations (26.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| ✓ | 0.0b | (*.f64 y (-.f64 1/2 x)) |
Compiled 21 to 14 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 y (-.f64 1/2 x)) |
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 1/2 x)) |
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 1/2 x)) |
| 1.0ms | y | @ | -inf | (*.f64 y (-.f64 1/2 x)) |
| 1.0ms | x | @ | inf | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| 1× | batch-egg-rewrite |
| 555× | unpow-prod-down_binary64 |
| 415× | log-prod_binary64 |
| 315× | exp-prod_binary64 |
| 279× | prod-exp_binary64 |
| 244× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 186 | 17 |
| 2 | 2452 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 1/2 x)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 1/2 x)))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1/2 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1/2 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 x 3)) y) (fma.f64 x (+.f64 1/2 x) 1/4))))) (#(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))) (fma.f64 x (+.f64 1/2 x) 1/4))))) (#(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)) 2) 1/2)))) (#(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 pow.f64 (pow.f64 (*.f64 y (-.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 1/2 x))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 1/2 x)))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (-.f64 1/2 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 1/2 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 1/2 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (-.f64 1/2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (-.f64 1/2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 1/2 x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (-.f64 1/2 x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 1/2 x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/2 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 y (*.f64 (neg.f64 x) y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (*.f64 y (neg.f64 (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (*.f64 (*.f64 y (neg.f64 (-.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 (-.f64 1/2 x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x)))))))))) (#(struct:change #<rule 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x)))) (sqrt.f64 (*.f64 y (-.f64 1/2 x))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) 1) (-.f64 1/2 x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (-.f64 1/2 x)) 2)) (cbrt.f64 (-.f64 1/2 x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (-.f64 1/2 x))) (sqrt.f64 (-.f64 1/2 x)) 918938533204673/1000000000000000))))) |
| 1× | egg-herbie |
| 216× | fma-def_binary64 |
| 162× | fma-neg_binary64 |
| 72× | cancel-sign-sub-inv_binary64 |
| 38× | sub-neg_binary64 |
| 36× | associate--r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 316 |
| 1 | 49 | 253 |
| 2 | 105 | 251 |
| 3 | 205 | 251 |
| 4 | 426 | 251 |
| 5 | 687 | 251 |
| 6 | 891 | 251 |
| 7 | 990 | 251 |
| 8 | 1026 | 251 |
| 9 | 1032 | 251 |
| 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))) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(*.f64 -1 (*.f64 y (-.f64 1/2 x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
| 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 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 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 y (-.f64 1/2 x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.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 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 y (-.f64 1/2 x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 y) (*.f64 -1 (*.f64 y x))) |
(fma.f64 1/2 y (neg.f64 (*.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 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 y (-.f64 1/2 x)) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(*.f64 -1 (*.f64 y (-.f64 1/2 x))) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) |
(fma.f64 y -1/2 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) |
Compiled 5 to 3 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 x 1/2)) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 x 1/2)) |
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 x 1/2)) |
| 1.0ms | x | @ | 0 | (*.f64 y (-.f64 x 1/2)) |
| 1.0ms | y | @ | -inf | (*.f64 y (-.f64 x 1/2)) |
| 1.0ms | x | @ | inf | (*.f64 y (-.f64 x 1/2)) |
| 1× | batch-egg-rewrite |
| 677× | pow1_binary64 |
| 631× | add-log-exp_binary64 |
| 631× | log1p-expm1-u_binary64 |
| 631× | expm1-log1p-u_binary64 |
| 620× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 132 | 7 |
| 2 | 1651 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 x 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 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 cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 x -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/2) 3) (pow.f64 y 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)))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 4× | fma-def_binary64 |
| 2× | +-commutative_binary64 |
| 2× | distribute-rgt-out_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 84 |
| 1 | 11 | 75 |
| 2 | 18 | 75 |
| 3 | 20 | 75 |
| 1× | saturated |
| Inputs |
|---|
(*.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 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(fma.f64 -1/2 y (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(fma.f64 -1/2 y (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(fma.f64 -1/2 y (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(fma.f64 -1/2 y (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(fma.f64 -1/2 y (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(fma.f64 -1/2 y (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(fma.f64 -1/2 y (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(fma.f64 -1/2 y (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(fma.f64 -1/2 y (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 y 1) x) |
Compiled 13 to 8 computations (38.5% 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 | @ | inf | (-.f64 (*.f64 x y) x) |
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 x y) x) |
| 1.0ms | x | @ | -inf | (-.f64 (*.f64 x y) x) |
| 0.0ms | y | @ | 0 | (-.f64 (*.f64 x y) x) |
| 0.0ms | y | @ | inf | (-.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 2494 to 1669 computations (33.1% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 4 | 218 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 216 | 12 | 228 |
| Status | Error | Program |
|---|---|---|
| ✓ | 26.8b | (-.f64 918938533204673/1000000000000000 x) |
| ✓ | 43.7b | (neg.f64 x) |
| ▶ | 37.0b | (+.f64 (*.f64 y x) (*.f64 y -1/2)) |
| ✓ | 36.1b | (-.f64 (*.f64 x y) x) |
| 45.8b | 918938533204673/1000000000000000 | |
| ✓ | 27.6b | (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
| ▶ | 44.4b | (*.f64 -1/2 y) |
| ✓ | 20.2b | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| ✓ | 37.0b | (*.f64 y (-.f64 x 1/2)) |
| ▶ | 55.8b | (*.f64 y x) |
| ✓ | 36.1b | (*.f64 (-.f64 y 1) x) |
Compiled 81 to 60 computations (25.9% saved)
Compiled 7 to 5 computations (28.6% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y x) (*.f64 y -1/2)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 y x) (*.f64 y -1/2)) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 y x) (*.f64 y -1/2)) |
| 0.0ms | x | @ | -inf | (+.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)) |
| 1× | batch-egg-rewrite |
| 814× | pow1_binary64 |
| 758× | add-log-exp_binary64 |
| 758× | log1p-expm1-u_binary64 |
| 758× | expm1-log1p-u_binary64 |
| 743× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 153 | 7 |
| 2 | 2062 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y x) (*.f64 y -1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 x -1/2))) (/.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 y (-.f64 x -1/2))))))) (#(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 (*.f64 y -1/2) (*.f64 y x))))))))) (#(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 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)))) (+.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 (*.f64 y -1/2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (*.f64 -1/8 (pow.f64 y 3))) (+.f64 (*.f64 1/4 (*.f64 y y)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x (*.f64 y -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 (*.f64 y -1/2) (*.f64 y x))))))))) (#(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 (*.f64 1/4 (*.f64 y y)) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 y -1/2) (*.f64 y x)))))) (#(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 -1/2 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 y (*.f64 y x))))) (#(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 -1/2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 y y))) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))))) (#(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 -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))))) (#(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 565 to 341 computations (39.6% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 0 | 47 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 47 | 12 | 59 |
| Status | Error | Program |
|---|---|---|
| ✓ | 26.8b | (-.f64 918938533204673/1000000000000000 x) |
| ✓ | 43.7b | (neg.f64 x) |
| ✓ | 37.0b | (+.f64 (*.f64 y x) (*.f64 y -1/2)) |
| ✓ | 36.1b | (-.f64 (*.f64 x y) x) |
| 45.8b | 918938533204673/1000000000000000 | |
| ✓ | 27.6b | (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
| ✓ | 44.4b | (*.f64 -1/2 y) |
| ✓ | 20.2b | (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
| ✓ | 37.0b | (*.f64 y (-.f64 x 1/2)) |
| ✓ | 55.8b | (*.f64 y x) |
| ✓ | 36.1b | (*.f64 (-.f64 y 1) x) |
Compiled 81 to 60 computations (25.9% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 y x) (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.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 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
6 calls:
| 26.0ms | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 24.0ms | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 14.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 10.0ms | y |
| 9.0ms | x |
| 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 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 0.0b | 1 | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 0.0b | 1 | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
Compiled 149 to 101 computations (32.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 y x) (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
6 calls:
| 92.0ms | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 11.0ms | x |
| 9.0ms | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 8.0ms | y |
| 8.0ms | (+.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 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 0.0b | 1 | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 0.0b | 1 | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
Compiled 141 to 96 computations (31.9% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 y x) (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) |
(*.f64 (-.f64 y 1) x) |
2 calls:
| 24.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
| 1.3b | 3 | y |
Compiled 71 to 44 computations (38% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.5173412119868305e-6 | 11337560.242261535 |
| 19.0ms | -1575091921097.4602 | -2078038971.289947 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 y x) (*.f64 y -1/2)) |
| Outputs |
|---|
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) |
(*.f64 (-.f64 y 1) x) |
2 calls:
| 60.0ms | y |
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.9b | 3 | x |
| 2.0b | 3 | y |
Compiled 48 to 29 computations (39.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.5173412119868305e-6 | 11337560.242261535 |
| 19.0ms | -9.070102058445586 | -0.002505036966755584 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 (-.f64 y 1) x) |
| Outputs |
|---|
(*.f64 -1/2 y) |
(*.f64 y x) |
(*.f64 -1/2 y) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 -1/2 y) |
2 calls:
| 44.0ms | x |
| 33.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 13.0b | 9 | x |
| 6.4b | 6 | y |
Compiled 26 to 17 computations (34.6% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 301775525093.5044 | 21061103622711.95 |
| 21.0ms | 9.370400178375818e-27 | 2.899014934435624e-23 |
| 19.0ms | -9.326475587132545e+19 | -247756747.24193823 |
| 20.0ms | -1.7365772822780502e+40 | -4.977793607720896e+36 |
| 22.0ms | -6.0312996875384626e+69 | -6.027146807037445e+62 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
| Outputs |
|---|
(*.f64 -1/2 y) |
(*.f64 y x) |
(*.f64 -1/2 y) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 -1/2 y) |
2 calls:
| 41.0ms | x |
| 22.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 19.6b | 9 | x |
| 8.0b | 5 | y |
Compiled 21 to 14 computations (33.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.00045304359284184265 | 1.668136313455359 |
| 32.0ms | -9.326475587132545e+19 | -247756747.24193823 |
| 32.0ms | -1.7365772822780502e+40 | -4.977793607720896e+36 |
| 21.0ms | -6.0312996875384626e+69 | -6.027146807037445e+62 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 -1/2 y) |
(*.f64 y x) |
(*.f64 -1/2 y) |
918938533204673/1000000000000000 |
(neg.f64 x) |
918938533204673/1000000000000000 |
(neg.f64 x) |
918938533204673/1000000000000000 |
(neg.f64 x) |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
2 calls:
| 701.0ms | y |
| 40.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.4b | 9 | x |
| 19.2b | 12 | y |
Compiled 18 to 12 computations (33.3% saved)
| 11× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.00045304359284184265 | 1.668136313455359 |
| 20.0ms | 1.6247118226599419e-49 | 3.5589264162033914e-46 |
| 18.0ms | 4.070439229536817e-125 | 1.8051774592361022e-124 |
| 19.0ms | 1.1668277656337483e-270 | 1.3706465156760144e-260 |
| 19.0ms | 3.895902570230874e-298 | 3.748395531921654e-295 |
| 19.0ms | -6.742514586969581e-192 | -2.8738334143883127e-196 |
| 18.0ms | -5.836407665182025e-102 | -1.5318234282330542e-103 |
| 19.0ms | -2.558064474429204e-85 | -1.3798098283767304e-85 |
| 19.0ms | -247756747.24193823 | -0.0072076466492086155 |
| 19.0ms | -1.7365772822780502e+40 | -4.977793607720896e+36 |
| 18.0ms | -6.0312996875384626e+69 | -6.027146807037445e+62 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
| Outputs |
|---|
(*.f64 -1/2 y) |
918938533204673/1000000000000000 |
(neg.f64 x) |
918938533204673/1000000000000000 |
(neg.f64 x) |
918938533204673/1000000000000000 |
(neg.f64 x) |
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 -1/2 y) |
2 calls:
| 83.0ms | y |
| 31.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.4b | 9 | x |
| 20.4b | 10 | y |
Compiled 15 to 11 computations (26.7% saved)
| 9× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.00045304359284184265 | 1.668136313455359 |
| 19.0ms | 1.6247118226599419e-49 | 3.5589264162033914e-46 |
| 19.0ms | 4.070439229536817e-125 | 1.8051774592361022e-124 |
| 19.0ms | 1.1668277656337483e-270 | 1.3706465156760144e-260 |
| 19.0ms | 3.895902570230874e-298 | 3.748395531921654e-295 |
| 18.0ms | -6.742514586969581e-192 | -2.8738334143883127e-196 |
| 19.0ms | -5.836407665182025e-102 | -1.5318234282330542e-103 |
| 20.0ms | -2.558064474429204e-85 | -1.3798098283767304e-85 |
| 18.0ms | -247756747.24193823 | -0.0072076466492086155 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
(neg.f64 x) |
| Outputs |
|---|
(neg.f64 x) |
918938533204673/1000000000000000 |
(neg.f64 x) |
2 calls:
| 75.0ms | x |
| 27.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 27.5b | 3 | x |
| 38.0b | 8 | y |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.8522117366795206e-11 | 4.3888052495045376e-11 |
| 18.0ms | -0.002505036966755584 | -2.2243780735842347e-5 |
Compiled 18 to 14 computations (22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
918938533204673/1000000000000000 |
918938533204673/1000000000000000 |
| Outputs |
|---|
918938533204673/1000000000000000 |
2 calls:
| 3.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 45.8b | 1 | x |
| 45.8b | 1 | y |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 39× | cancel-sign-sub-inv_binary64 |
| 38× | distribute-rgt-neg-in_binary64 |
| 23× | distribute-lft-neg-in_binary64 |
| 23× | distribute-lft-neg-out_binary64 |
| 23× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 393 |
| 1 | 119 | 393 |
| 2 | 144 | 393 |
| 3 | 158 | 393 |
| 4 | 176 | 393 |
| 5 | 195 | 393 |
| 6 | 212 | 393 |
| 7 | 240 | 393 |
| 8 | 272 | 393 |
| 9 | 309 | 393 |
| 10 | 349 | 393 |
| 11 | 374 | 393 |
| 12 | 380 | 393 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(if (<=.f64 x -6451576508815197/4096) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 1038135890518919/295147905179352825856) (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) (*.f64 (-.f64 y 1) x))) |
(if (<=.f64 x -5106013531328489/562949953421312) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 1038135890518919/295147905179352825856) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) (*.f64 (-.f64 y 1) x))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 -1/2 y) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -93264755871325454336) (*.f64 -1/2 y) (if (<=.f64 y 1632553959267383/174224571863520493293247799005065324265472) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 618036275391497/2048) (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)))))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 -1/2 y) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -93264755871325454336) (*.f64 -1/2 y) (if (<=.f64 y 522323700711709/1152921504606846976) (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y))))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 -1/2 y) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -2078334231967701/8388608) (*.f64 -1/2 y) (if (<=.f64 y -8952205401179121/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) 918938533204673/1000000000000000 (if (<=.f64 y -1839729367905491/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (neg.f64 x) (if (<=.f64 y -1082352998218759/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) 918938533204673/1000000000000000 (if (<=.f64 y 2294951871970179/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (neg.f64 x) (if (<=.f64 y 2776148186845977/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656) 918938533204673/1000000000000000 (if (<=.f64 y 969458600155327/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (neg.f64 x) (if (<=.f64 y 1069388283408231/6582018229284824168619876730229402019930943462534319453394436096) 918938533204673/1000000000000000 (if (<=.f64 y 522323700711709/1152921504606846976) (neg.f64 x) (*.f64 -1/2 y)))))))))))) |
(if (<=.f64 y -2078334231967701/8388608) (*.f64 -1/2 y) (if (<=.f64 y -8952205401179121/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) 918938533204673/1000000000000000 (if (<=.f64 y -1839729367905491/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (neg.f64 x) (if (<=.f64 y -1082352998218759/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) 918938533204673/1000000000000000 (if (<=.f64 y 2294951871970179/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (neg.f64 x) (if (<=.f64 y 2776148186845977/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656) 918938533204673/1000000000000000 (if (<=.f64 y 969458600155327/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (neg.f64 x) (if (<=.f64 y 1069388283408231/6582018229284824168619876730229402019930943462534319453394436096) 918938533204673/1000000000000000 (if (<=.f64 y 522323700711709/1152921504606846976) (neg.f64 x) (*.f64 -1/2 y)))))))))) |
(if (<=.f64 x -722027747201905/288230376151711744) (neg.f64 x) (if (<=.f64 x 8827167773388171/309485009821345068724781056) 918938533204673/1000000000000000 (neg.f64 x))) |
918938533204673/1000000000000000 |
| Outputs |
|---|
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 y -1/2)) |
(+.f64 (-.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 1 y))) (*.f64 y -1/2)) |
(if (<=.f64 x -6451576508815197/4096) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 1038135890518919/295147905179352825856) (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) (*.f64 (-.f64 y 1) x))) |
(if (<=.f64 x -6451576508815197/4096) (*.f64 x (-.f64 y 1)) (if (<=.f64 x 1038135890518919/295147905179352825856) (-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x))) (*.f64 x (-.f64 y 1)))) |
(if (<=.f64 x -6451576508815197/4096) (*.f64 x (-.f64 y 1)) (if (<=.f64 x 1038135890518919/295147905179352825856) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (*.f64 x (-.f64 y 1)))) |
(if (<=.f64 x -6451576508815197/4096) (*.f64 x (+.f64 y -1)) (if (<=.f64 x 1038135890518919/295147905179352825856) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (*.f64 x (+.f64 y -1)))) |
(if (<=.f64 x -5106013531328489/562949953421312) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 1038135890518919/295147905179352825856) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) (*.f64 (-.f64 y 1) x))) |
(if (<=.f64 x -5106013531328489/562949953421312) (*.f64 x (-.f64 y 1)) (if (<=.f64 x 1038135890518919/295147905179352825856) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) (*.f64 x (-.f64 y 1)))) |
(if (<=.f64 x -5106013531328489/562949953421312) (*.f64 x (-.f64 y 1)) (if (<=.f64 x 1038135890518919/295147905179352825856) (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) (*.f64 x (-.f64 y 1)))) |
(if (<=.f64 x -5106013531328489/562949953421312) (*.f64 x (+.f64 y -1)) (if (<=.f64 x 1038135890518919/295147905179352825856) (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) (*.f64 x (+.f64 y -1)))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 -1/2 y) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -93264755871325454336) (*.f64 -1/2 y) (if (<=.f64 y 1632553959267383/174224571863520493293247799005065324265472) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 618036275391497/2048) (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)))))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 y -1/2) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -93264755871325454336) (*.f64 y -1/2) (if (<=.f64 y 1632553959267383/174224571863520493293247799005065324265472) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 618036275391497/2048) (*.f64 x (-.f64 y 1)) (*.f64 y -1/2)))))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 y -1/2) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -93264755871325454336) (*.f64 y -1/2) (if (<=.f64 y 1632553959267383/174224571863520493293247799005065324265472) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 618036275391497/2048) (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)))))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 -1/2 y) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -93264755871325454336) (*.f64 -1/2 y) (if (<=.f64 y 522323700711709/1152921504606846976) (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y))))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 y -1/2) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -93264755871325454336) (*.f64 y -1/2) (if (<=.f64 y 522323700711709/1152921504606846976) (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2))))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 -1/2 y) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -2078334231967701/8388608) (*.f64 -1/2 y) (if (<=.f64 y -8952205401179121/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) 918938533204673/1000000000000000 (if (<=.f64 y -1839729367905491/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (neg.f64 x) (if (<=.f64 y -1082352998218759/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) 918938533204673/1000000000000000 (if (<=.f64 y 2294951871970179/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (neg.f64 x) (if (<=.f64 y 2776148186845977/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656) 918938533204673/1000000000000000 (if (<=.f64 y 969458600155327/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (neg.f64 x) (if (<=.f64 y 1069388283408231/6582018229284824168619876730229402019930943462534319453394436096) 918938533204673/1000000000000000 (if (<=.f64 y 522323700711709/1152921504606846976) (neg.f64 x) (*.f64 -1/2 y)))))))))))) |
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 y -1/2) (if (<=.f64 y -17365772822780501815572775400226313732096) (*.f64 y x) (if (<=.f64 y -2078334231967701/8388608) (*.f64 y -1/2) (if (<=.f64 y -8952205401179121/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) 918938533204673/1000000000000000 (if (<=.f64 y -1839729367905491/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (neg.f64 x) (if (<=.f64 y -1082352998218759/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) 918938533204673/1000000000000000 (if (<=.f64 y 2294951871970179/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (neg.f64 x) (if (<=.f64 y 2776148186845977/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656) 918938533204673/1000000000000000 (if (<=.f64 y 969458600155327/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (neg.f64 x) (if (<=.f64 y 1069388283408231/6582018229284824168619876730229402019930943462534319453394436096) 918938533204673/1000000000000000 (if (<=.f64 y 522323700711709/1152921504606846976) (neg.f64 x) (*.f64 y -1/2)))))))))))) |
(if (<=.f64 y -2078334231967701/8388608) (*.f64 -1/2 y) (if (<=.f64 y -8952205401179121/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) 918938533204673/1000000000000000 (if (<=.f64 y -1839729367905491/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (neg.f64 x) (if (<=.f64 y -1082352998218759/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) 918938533204673/1000000000000000 (if (<=.f64 y 2294951871970179/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (neg.f64 x) (if (<=.f64 y 2776148186845977/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656) 918938533204673/1000000000000000 (if (<=.f64 y 969458600155327/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (neg.f64 x) (if (<=.f64 y 1069388283408231/6582018229284824168619876730229402019930943462534319453394436096) 918938533204673/1000000000000000 (if (<=.f64 y 522323700711709/1152921504606846976) (neg.f64 x) (*.f64 -1/2 y)))))))))) |
(if (<=.f64 y -2078334231967701/8388608) (*.f64 y -1/2) (if (<=.f64 y -8952205401179121/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) 918938533204673/1000000000000000 (if (<=.f64 y -1839729367905491/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (neg.f64 x) (if (<=.f64 y -1082352998218759/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632) 918938533204673/1000000000000000 (if (<=.f64 y 2294951871970179/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (neg.f64 x) (if (<=.f64 y 2776148186845977/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656) 918938533204673/1000000000000000 (if (<=.f64 y 969458600155327/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (neg.f64 x) (if (<=.f64 y 1069388283408231/6582018229284824168619876730229402019930943462534319453394436096) 918938533204673/1000000000000000 (if (<=.f64 y 522323700711709/1152921504606846976) (neg.f64 x) (*.f64 y -1/2)))))))))) |
(if (<=.f64 x -722027747201905/288230376151711744) (neg.f64 x) (if (<=.f64 x 8827167773388171/309485009821345068724781056) 918938533204673/1000000000000000 (neg.f64 x))) |
918938533204673/1000000000000000 |
Compiled 294 to 204 computations (30.6% 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 |
Compiled 184 to 137 computations (25.5% saved)
Compiled 276 to 182 computations (34.1% saved)
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