Time bar (total: 12.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 3.1% | 93.7% | 3.2% | 6 |
| 15.6% | 73.4% | 11% | 7 |
| 20.3% | 67.9% | 11.8% | 8 |
| 28.9% | 55.8% | 15.3% | 9 |
| 31.6% | 52.9% | 15.5% | 10 |
| 36.1% | 46.7% | 17.2% | 11 |
| 37.6% | 45.2% | 17.2% | 12 |
Compiled 15 to 12 computations (20% saved)
| 1.6s | 6424× | body | 256 | valid |
| 566.0ms | 1060× | body | 1024 | valid |
| 308.0ms | 1794× | body | 256 | invalid |
| 244.0ms | 696× | body | 512 | valid |
| 236.0ms | 523× | body | 1024 | invalid |
| 103.0ms | 340× | body | 512 | invalid |
| 69.0ms | 76× | body | 2048 | valid |
| 2× | egg-herbie |
| 1792× | fma-neg_binary64 |
| 711× | div-sub_binary64 |
| 504× | times-frac_binary64 |
| 485× | sub-neg_binary64 |
| 360× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 38 | 34 |
| 2 | 73 | 30 |
| 3 | 160 | 30 |
| 4 | 358 | 30 |
| 5 | 813 | 30 |
| 6 | 2201 | 30 |
| 7 | 5604 | 30 |
| 8 | 6272 | 30 |
| 9 | 6593 | 30 |
| 10 | 7081 | 30 |
| 11 | 7351 | 30 |
| 12 | 7625 | 30 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x))))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x))))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 y x)) (-.f64 1 x)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 1 x)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 x -1)))) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 1264× | fma-neg_binary64 |
| 1110× | fma-def_binary64 |
| 494× | cancel-sign-sub-inv_binary64 |
| 382× | sub-neg_binary64 |
| 367× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 22 | 17 |
| 2 | 40 | 17 |
| 3 | 86 | 15 |
| 4 | 203 | 15 |
| 5 | 439 | 15 |
| 6 | 1018 | 15 |
| 7 | 2609 | 15 |
| 8 | 4367 | 15 |
| 9 | 5114 | 15 |
| 10 | 5689 | 15 |
| 11 | 6635 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
Compiled 24 to 17 computations (29.2% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 19.6b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
Compiled 12 to 9 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (+.f64 y -1)) |
| ✓ | 3.4b | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
Compiled 37 to 20 computations (45.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | y | @ | 0 | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | x | @ | 0 | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | x | @ | inf | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | y | @ | inf | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1× | batch-egg-rewrite |
| 543× | log-prod_binary64 |
| 338× | fma-def_binary64 |
| 324× | pow-prod-down_binary64 |
| 305× | pow2_binary64 |
| 210× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 224 | 37 |
| 2 | 3255 | 37 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
(/.f64 (-.f64 x y) (+.f64 y -1)) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2) (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) (sqrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (+.f64 y 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))))) |
| 1× | egg-herbie |
| 585× | associate-/r*_binary64 |
| 553× | associate-/l*_binary64 |
| 425× | distribute-rgt-in_binary64 |
| 383× | distribute-lft-in_binary64 |
| 313× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 2996 |
| 1 | 812 | 2479 |
| 2 | 3235 | 2181 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 y 1))))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))))))) |
(log.f64 (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))))))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))))) |
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y))) |
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))) |
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))))) |
(*.f64 -1 (/.f64 y (-.f64 y 1))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(/.f64 x (-.f64 y 1)) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(/.f64 x (-.f64 y 1)) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(*.f64 -1 x) |
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 -1 x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x))) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x)))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3))))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 1 (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 1 (*.f64 y (-.f64 (/.f64 x (+.f64 1 (*.f64 -1 x))) (/.f64 1 (+.f64 1 (*.f64 -1 x)))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 1 (*.f64 y (-.f64 (/.f64 x (+.f64 1 (*.f64 -1 x))) (/.f64 1 (+.f64 1 (*.f64 -1 x))))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 y (-.f64 (/.f64 x (+.f64 1 (*.f64 -1 x))) (/.f64 1 (+.f64 1 (*.f64 -1 x))))) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))))))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 1 (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y)) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y)) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
| Outputs |
|---|
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) |
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) (/.f64 (/.f64 x (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1))))) (+.f64 y -1))) |
(+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1))))) (+.f64 y -1)) (+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (pow.f64 (+.f64 y -1) 2)))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 -1 y) 2)) (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1))))) (+.f64 y -1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 3) (pow.f64 (+.f64 y -1) 3))) (+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (pow.f64 (+.f64 y -1) 2))))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (pow.f64 (+.f64 -1 y) 3))) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 -1 y) 2)) (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 1/3 (/.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3)) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 -1 y) 2)) (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) (/.f64 x (+.f64 y -1)))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) (/.f64 x (+.f64 -1 y)))) |
(-.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y) (log.f64 x)) (log.f64 (+.f64 -1 y))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(+.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) (/.f64 x (+.f64 y -1))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))))) |
(+.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) (/.f64 x (+.f64 -1 y))) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) (/.f64 x (/.f64 (pow.f64 (+.f64 -1 y) 2) x))) (log.f64 x)) (log.f64 (+.f64 -1 y)))) |
(+.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 y 1))))))) |
(+.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) (/.f64 x (+.f64 y -1))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3))) (neg.f64 (log.f64 (+.f64 y -1))))))) |
(+.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) (/.f64 x (+.f64 -1 y))) (+.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 y) 3)))) (log.f64 (+.f64 -1 y))) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) (/.f64 x (/.f64 (pow.f64 (+.f64 -1 y) 2) x))) (log.f64 x)))) |
(+.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) 1/3) (pow.f64 (/.f64 x (+.f64 -1 y)) 3))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1)))) |
(-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x))) |
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(*.f64 -1 x) |
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(-.f64 (*.f64 (-.f64 1 x) (+.f64 y (+.f64 (pow.f64 y 3) (*.f64 y y)))) x) |
-1 |
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-1 |
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y))) |
(-.f64 (-.f64 (/.f64 x y) 1) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 y)) |
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(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))) |
(+.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))) (/.f64 1/2 (*.f64 y y))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) (/.f64 1/2 (*.f64 y y))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 (+.f64 x -1)) (/.f64 1/3 (pow.f64 y 3)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (/.f64 1/2 (*.f64 y y)))))) |
(-.f64 1 (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 y))) (/.f64 1 y)))) |
(-.f64 1 (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (-.f64 1 (log.f64 (neg.f64 (+.f64 x -1)))) (log.f64 (/.f64 -1 y))) |
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) y))) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 x (+.f64 -1 x)) (/.f64 -1 (+.f64 -1 x))) y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 -1 y) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y)) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) y) (*.f64 -1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)))) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 -1/2 y) (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) y)) (/.f64 (+.f64 (/.f64 x (+.f64 -1 x)) (/.f64 -1 (+.f64 -1 x))) y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y)) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 (fma.f64 1/6 (/.f64 (fma.f64 6 (/.f64 (-.f64 1 x) (+.f64 x -1)) (fma.f64 -6 (/.f64 (-.f64 1 x) (+.f64 x -1)) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3))))) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) y) (*.f64 -1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y))))) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y))))) |
(+.f64 (fma.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 -1 x) 3))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) 0)) (pow.f64 y 3)) (-.f64 (*.f64 (/.f64 -1/2 y) (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) y)) (/.f64 (+.f64 (/.f64 x (+.f64 -1 x)) (/.f64 -1 (+.f64 -1 x))) y))) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) |
(+.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (+.f64 (/.f64 -1/3 (pow.f64 y 3)) (/.f64 -1 y))) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) |
Compiled 6217 to 4552 computations (26.8% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 15 | 260 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 245 | 16 | 261 |
| Status | Error | Program |
|---|---|---|
| 56.8b | (-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) | |
| 43.1b | (-.f64 1 (+.f64 (+.f64 (/.f64 1/3 (pow.f64 y 3)) (+.f64 (/.f64 1/2 (*.f64 y y)) (log1p.f64 (neg.f64 x)))) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))) | |
| 42.8b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) | |
| 25.8b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) | |
| ▶ | 18.9b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 18.9b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) | |
| 42.3b | (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) | |
| 24.8b | (-.f64 1 (log1p.f64 (neg.f64 x))) | |
| ▶ | 19.6b | (log.f64 (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) |
| 58.5b | (-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) | |
| ▶ | 64.0b | (-.f64 1 (log1p.f64 -1)) |
| ▶ | 38.6b | (-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| ▶ | 39.4b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| ✓ | 19.6b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| 19.9b | (-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)) | |
| 38.5b | (exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) 1/3)) |
Compiled 430 to 345 computations (19.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (-.f64 y 1)) |
Compiled 27 to 18 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/.f64 x (-.f64 y 1)) |
| 1.0ms | x | @ | inf | (/.f64 x (-.f64 y 1)) |
| 1.0ms | x | @ | 0 | (/.f64 x (-.f64 y 1)) |
| 1.0ms | y | @ | inf | (/.f64 x (-.f64 y 1)) |
| 1.0ms | x | @ | -inf | (/.f64 x (-.f64 y 1)) |
| 1× | batch-egg-rewrite |
| 691× | pow1_binary64 |
| 644× | add-log-exp_binary64 |
| 643× | log1p-expm1-u_binary64 |
| 643× | expm1-log1p-u_binary64 |
| 631× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1750 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 y 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) 2) (cbrt.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 y -1))) (sqrt.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 x (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.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)) 3) 1/3)))) (#(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 (/.f64 (+.f64 y -1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.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)))))))) |
| 1× | egg-herbie |
| 539× | fma-def_binary64 |
| 428× | fma-neg_binary64 |
| 390× | distribute-rgt-out--_binary64 |
| 352× | sub-neg_binary64 |
| 268× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 203 |
| 1 | 82 | 191 |
| 2 | 248 | 181 |
| 3 | 834 | 178 |
| 4 | 3670 | 175 |
| 5 | 6746 | 175 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 x (neg.f64 (*.f64 x y))) |
(-.f64 (neg.f64 x) (*.f64 x y)) |
(*.f64 x (-.f64 -1 y)) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 -1 x (*.f64 -1 (+.f64 (*.f64 x (*.f64 y y)) (*.f64 x y)))) |
(-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y y) y))) x) |
(neg.f64 (fma.f64 x (fma.f64 y y y) x)) |
(*.f64 x (-.f64 -1 (fma.f64 y y y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 -1 (*.f64 x (pow.f64 y 3)) (fma.f64 -1 x (*.f64 -1 (+.f64 (*.f64 x (*.f64 y y)) (*.f64 x y))))) |
(-.f64 (-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y y) y))) x) (*.f64 x (pow.f64 y 3))) |
(*.f64 x (+.f64 (*.f64 y (-.f64 -1 y)) (fma.f64 -1 (pow.f64 y 3) -1))) |
(-.f64 (neg.f64 x) (*.f64 y (fma.f64 y (fma.f64 x y x) x))) |
(*.f64 x (*.f64 (fma.f64 y y 1) (-.f64 -1 y))) |
(*.f64 x (*.f64 (-.f64 -1 y) (fma.f64 y y 1))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 4)))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 4)))) |
Compiled 10 to 10 computations (0% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| ✓ | 0.0b | (/.f64 (neg.f64 y) (+.f64 -1 y)) |
| ✓ | 2.5b | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
Compiled 32 to 20 computations (37.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
| 1.0ms | y | @ | inf | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
| 0.0ms | y | @ | -inf | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
| 0.0ms | y | @ | inf | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 0.0ms | y | @ | -inf | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 1× | batch-egg-rewrite |
| 933× | pow1_binary64 |
| 870× | add-log-exp_binary64 |
| 868× | expm1-log1p-u_binary64 |
| 867× | log1p-expm1-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 195 | 28 |
| 2 | 2779 | 28 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
(/.f64 (neg.f64 y) (+.f64 -1 y)) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 y (+.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 y (+.f64 y -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y -1)) (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 -1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 -1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) (sqrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (*.f64 y y))) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3)) (/.f64 1 (+.f64 1 (*.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2)) (/.f64 1 (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1))) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3)) (+.f64 1 (*.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2)) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3))) (neg.f64 (+.f64 1 (*.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2))) (neg.f64 (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))) (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))) (-.f64 1 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) (+.f64 (/.f64 y (+.f64 y -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))))) |
| 1× | egg-herbie |
| 420× | associate-+l-_binary64 |
| 324× | unsub-neg_binary64 |
| 300× | associate--l+_binary64 |
| 278× | sub-neg_binary64 |
| 273× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 606 |
| 1 | 225 | 516 |
| 2 | 681 | 508 |
| 3 | 2374 | 506 |
| 4 | 6644 | 506 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (pow.f64 y 2)))) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 y (*.f64 1/2 (pow.f64 y 2))))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
y |
(+.f64 y (pow.f64 y 2)) |
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2))) |
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4)))) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (*.f64 1/2 (*.f64 y y))) |
(fma.f64 1/2 (*.f64 y y) y) |
(fma.f64 y (*.f64 y 1/2) y) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (pow.f64 y 2)))) |
(fma.f64 1/3 (pow.f64 y 3) (+.f64 y (*.f64 1/2 (*.f64 y y)))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/2 (*.f64 y y) y)) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) y)) |
(fma.f64 y (*.f64 y 1/2) (fma.f64 1/3 (pow.f64 y 3) y)) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 y (*.f64 1/2 (pow.f64 y 2))))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (+.f64 y (*.f64 1/2 (*.f64 y y))))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) y))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/2) y))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (fma.f64 1/4 (pow.f64 y 4) y))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (log.f64 -1)) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1/2 y) y) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (log.f64 -1)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1/2 y) y) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
y |
(+.f64 y (pow.f64 y 2)) |
(+.f64 y (*.f64 y y)) |
(fma.f64 y y y) |
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2))) |
(+.f64 (pow.f64 y 3) (+.f64 y (*.f64 y y))) |
(+.f64 (pow.f64 y 3) (fma.f64 y y y)) |
(+.f64 y (*.f64 y (fma.f64 y y y))) |
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4)))) |
(+.f64 (+.f64 (pow.f64 y 3) y) (+.f64 (*.f64 y y) (pow.f64 y 4))) |
(+.f64 y (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3))) |
(*.f64 (fma.f64 y y 1) (fma.f64 y y y)) |
(*.f64 (fma.f64 y y y) (fma.f64 y y 1)) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))) |
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y))) |
(+.f64 -1 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y)))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 (*.f64 y y))))) |
(-.f64 (/.f64 -1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 y)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3)))) |
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))) |
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y))) |
(+.f64 -1 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y)))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 (*.f64 y y))))) |
(-.f64 (/.f64 -1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 y)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3)))) |
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))) |
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (neg.f64 y)) |
(-.f64 1 y) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (neg.f64 y))) |
(+.f64 1 (-.f64 (*.f64 y (*.f64 y -1/2)) y)) |
(-.f64 (fma.f64 y (*.f64 y -1/2) 1) y) |
(fma.f64 y (*.f64 y -1/2) (-.f64 1 y)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y)))) |
(+.f64 1 (fma.f64 (*.f64 y y) -1/2 (-.f64 (*.f64 (pow.f64 y 3) -1/3) y))) |
(+.f64 (-.f64 1 y) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))) |
(fma.f64 y (*.f64 y (+.f64 -1/2 (*.f64 y -1/3))) (-.f64 1 y)) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (log.f64 -1))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y))))) |
(-.f64 (-.f64 1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (/.f64 1/2 y) y))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (/.f64 -1/2 (*.f64 y y)) (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) 1))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/3 (pow.f64 y 3))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3)))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (log.f64 -1))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y))))) |
(-.f64 (-.f64 1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (/.f64 1/2 y) y))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (/.f64 -1/2 (*.f64 y y)) (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) 1))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/3 (pow.f64 y 3))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3)))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 -1 y)) |
| 2.5b | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) | |
| ✓ | 2.6b | (-.f64 1 (/.f64 y (+.f64 -1 y))) |
| ✓ | 4.4b | (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) |
Compiled 92 to 61 computations (33.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) |
| 1.0ms | y | @ | inf | (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) |
| 1.0ms | y | @ | 0 | (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) |
| 1× | batch-egg-rewrite |
| 598× | log-prod_binary64 |
| 482× | prod-diff_binary64 |
| 304× | pow2_binary64 |
| 256× | log-div_binary64 |
| 213× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 225 | 36 |
| 2 | 3368 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) |
(-.f64 1 (/.f64 y (+.f64 -1 y))) |
(/.f64 x (+.f64 -1 y)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 871× | times-frac_binary64 |
| 766× | fma-def_binary64 |
| 524× | sub-neg_binary64 |
| 485× | fma-neg_binary64 |
| 297× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 734 |
| 1 | 144 | 702 |
| 2 | 439 | 696 |
| 3 | 1459 | 691 |
| 4 | 5561 | 581 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
(*.f64 -1 x) |
1 |
(+.f64 1 y) |
(+.f64 1 (+.f64 y (pow.f64 y 2))) |
(+.f64 (pow.f64 y 3) (+.f64 1 (+.f64 y (pow.f64 y 2)))) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
| Outputs |
|---|
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) |
(/.f64 x (*.f64 (+.f64 y -1) (-.f64 1 (/.f64 y (+.f64 y -1))))) |
(/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1)))) |
(/.f64 x (+.f64 y (-.f64 -1 y))) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 x) |
(neg.f64 x) |
1 |
(+.f64 1 y) |
(+.f64 1 (+.f64 y (pow.f64 y 2))) |
(+.f64 1 (+.f64 y (*.f64 y y))) |
(+.f64 1 (fma.f64 y y y)) |
(+.f64 (pow.f64 y 3) (+.f64 1 (+.f64 y (pow.f64 y 2)))) |
(+.f64 (+.f64 1 (+.f64 y (*.f64 y y))) (pow.f64 y 3)) |
(+.f64 1 (+.f64 (fma.f64 y y y) (pow.f64 y 3))) |
(+.f64 1 (+.f64 y (*.f64 y (fma.f64 y y y)))) |
(fma.f64 y (fma.f64 y y y) (+.f64 1 y)) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) |
(+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)) (/.f64 -1 (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))) |
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))) |
(-.f64 (+.f64 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 -1 (pow.f64 y 4)))) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) |
(+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)) (/.f64 -1 (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))))) |
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4)))) |
(-.f64 (+.f64 (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1 y) y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 -1 (pow.f64 y 4)))) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 x (neg.f64 (*.f64 x y))) |
(-.f64 (neg.f64 x) (*.f64 x y)) |
(*.f64 x (-.f64 -1 y)) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 -1 x (fma.f64 -1 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y)))) |
(-.f64 (neg.f64 (*.f64 x (fma.f64 y y y))) x) |
(neg.f64 (fma.f64 x (fma.f64 y y y) x)) |
(*.f64 x (-.f64 -1 (fma.f64 y y y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 -1 (*.f64 x (pow.f64 y 3)) (fma.f64 -1 x (fma.f64 -1 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y))))) |
(-.f64 (-.f64 (neg.f64 (*.f64 x (fma.f64 y y y))) x) (*.f64 x (pow.f64 y 3))) |
(-.f64 (*.f64 x (*.f64 y (-.f64 -1 y))) (fma.f64 x (pow.f64 y 3) x)) |
(-.f64 (*.f64 (neg.f64 x) (fma.f64 y (fma.f64 y y y) y)) x) |
(*.f64 x (-.f64 -1 (fma.f64 y (fma.f64 y y y) y))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))) |
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))) |
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) |
| 0.0b | (/.f64 (-.f64 x y) (+.f64 y -1)) | |
| ✓ | 0.1b | (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) |
| ✓ | 3.6b | (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) |
Compiled 52 to 29 computations (44.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (log.f64 (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) |
| 4.0ms | x | @ | 0 | (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) |
| 3.0ms | y | @ | inf | (log.f64 (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) |
| 2.0ms | y | @ | -inf | (log.f64 (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) |
| 2.0ms | x | @ | 0 | (log.f64 (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) |
| 1× | batch-egg-rewrite |
| 960× | prod-diff_binary64 |
| 396× | fma-def_binary64 |
| 321× | fma-neg_binary64 |
| 239× | log1p-udef_binary64 |
| 238× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 270 | 45 |
| 2 | 3928 | 45 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) |
(/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) |
(log.f64 (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (-.f64 1/3 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (-.f64 1/3 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (-.f64 1/2 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) (E.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) 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-.f64 (log.f64 (/.f64 (E.f64) 1)) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (E.f64) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) 2))) (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (-.f64 1/3 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 1/2 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)) (+.f64 1 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) (E.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))))) |
| 1× | egg-herbie |
| 384× | times-frac_binary64 |
| 315× | associate-*r*_binary64 |
| 312× | fma-def_binary64 |
| 304× | associate-/l*_binary64 |
| 302× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 465 | 4973 |
| 1 | 1859 | 4394 |
| 2 | 6771 | 3946 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 y (-.f64 y 1))) |
(-.f64 (+.f64 (/.f64 x (-.f64 y 1)) 1) (/.f64 y (-.f64 y 1))) |
(-.f64 (+.f64 (/.f64 x (-.f64 y 1)) 1) (/.f64 y (-.f64 y 1))) |
(-.f64 (+.f64 (/.f64 x (-.f64 y 1)) 1) (/.f64 y (-.f64 y 1))) |
(/.f64 x (-.f64 y 1)) |
(-.f64 (+.f64 1 (/.f64 x (-.f64 y 1))) (/.f64 y (-.f64 y 1))) |
(-.f64 (+.f64 1 (/.f64 x (-.f64 y 1))) (/.f64 y (-.f64 y 1))) |
(-.f64 (+.f64 1 (/.f64 x (-.f64 y 1))) (/.f64 y (-.f64 y 1))) |
(/.f64 x (-.f64 y 1)) |
(+.f64 1 (+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(+.f64 1 (+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(+.f64 1 (+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x)))) |
(+.f64 1 (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x))))) |
(/.f64 (-.f64 x 1) y) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 4))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2)))))) (/.f64 1 y)) |
(/.f64 (-.f64 x 1) y) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 4))) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(/.f64 (E.f64) (-.f64 1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 1)) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (-.f64 y 1)))) (/.f64 (E.f64) (-.f64 1 (/.f64 y (-.f64 y 1))))) |
(+.f64 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 1)) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (-.f64 y 1)))) (/.f64 (E.f64) (-.f64 1 (/.f64 y (-.f64 y 1)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) (exp.f64 1)) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 4) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 1)) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (-.f64 y 1)))) (/.f64 (E.f64) (-.f64 1 (/.f64 y (-.f64 y 1))))))) |
(/.f64 (*.f64 (E.f64) (-.f64 y 1)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (*.f64 (pow.f64 (-.f64 y 1) 2) (exp.f64 1))) (pow.f64 x 2))) (/.f64 (*.f64 (E.f64) (-.f64 y 1)) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (*.f64 (pow.f64 (-.f64 y 1) 2) (exp.f64 1))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 y 1)) x) (/.f64 (*.f64 (E.f64) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 3))) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (*.f64 (pow.f64 (-.f64 y 1) 4) (exp.f64 1))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (*.f64 (pow.f64 (-.f64 y 1) 2) (exp.f64 1))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 y 1)) x) (/.f64 (*.f64 (E.f64) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 3))) (pow.f64 x 3))))) |
(/.f64 (*.f64 (E.f64) (-.f64 y 1)) x) |
(+.f64 (/.f64 (*.f64 (E.f64) (-.f64 y 1)) x) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (*.f64 (pow.f64 (-.f64 y 1) 2) (exp.f64 1))) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (*.f64 (E.f64) (pow.f64 (-.f64 y 1) 3))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 y 1)) x) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (*.f64 (pow.f64 (-.f64 y 1) 2) (exp.f64 1))) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (*.f64 (pow.f64 (-.f64 y 1) 4) (exp.f64 1))) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (*.f64 (pow.f64 (-.f64 y 1) 2) (exp.f64 1))) (pow.f64 x 2))) (/.f64 (*.f64 (E.f64) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 3))) (pow.f64 x 3))))) |
(/.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 1 x) (exp.f64 1))) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (/.f64 (E.f64) (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (/.f64 (*.f64 (-.f64 1 x) (exp.f64 1)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 1 x) (exp.f64 1))) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (/.f64 (E.f64) (+.f64 1 (*.f64 -1 x))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (/.f64 (*.f64 (-.f64 1 x) (exp.f64 1)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 1 x) (exp.f64 1))) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (/.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (-.f64 1 x)) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (/.f64 (*.f64 (exp.f64 1) (-.f64 1 x)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))))))))) |
(/.f64 (*.f64 (E.f64) y) (-.f64 x 1)) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)) (pow.f64 (-.f64 x 1) 2)) (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)) (pow.f64 (-.f64 x 1) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)) (pow.f64 (-.f64 x 1) 2)))) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)) (pow.f64 (-.f64 x 1) 2)) (/.f64 (*.f64 (E.f64) y) (-.f64 x 1)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)) (pow.f64 (-.f64 x 1) 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) (pow.f64 (-.f64 x 1) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3)))) (+.f64 1 (*.f64 -1 x))) (-.f64 x 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)) (pow.f64 (-.f64 x 1) 2))))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)) (pow.f64 (-.f64 x 1) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)) (pow.f64 (-.f64 x 1) 2)))) y)) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)) (pow.f64 (-.f64 x 1) 2)) (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))))) |
(/.f64 (*.f64 (E.f64) y) (-.f64 x 1)) |
(+.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1)) (/.f64 (*.f64 (-.f64 1 x) (exp.f64 1)) (pow.f64 (-.f64 x 1) 2))) |
(+.f64 (/.f64 (*.f64 (exp.f64 1) (-.f64 1 x)) (pow.f64 (-.f64 x 1) 2)) (+.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1)) (+.f64 (/.f64 (*.f64 (E.f64) (pow.f64 (-.f64 1 x) 2)) (*.f64 y (pow.f64 (-.f64 x 1) 3))) (*.f64 -1 (/.f64 (exp.f64 1) (*.f64 y (-.f64 x 1))))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 1) (-.f64 1 x)) (pow.f64 (-.f64 x 1) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 x) (exp.f64 1)) (pow.f64 (-.f64 x 1) 2))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (pow.f64 (-.f64 x 1) 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 x) (+.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1))) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3)))) (-.f64 x 1))))) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1)) (+.f64 (*.f64 -1 (/.f64 (exp.f64 1) (*.f64 y (-.f64 x 1)))) (/.f64 (*.f64 (E.f64) (pow.f64 (-.f64 1 x) 2)) (*.f64 y (pow.f64 (-.f64 x 1) 3))))))) |
(log.f64 (/.f64 (exp.f64 1) (-.f64 1 (/.f64 y (-.f64 y 1))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) x) (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (*.f64 (-.f64 y 1) (exp.f64 1))))) (log.f64 (/.f64 (exp.f64 1) (-.f64 1 (/.f64 y (-.f64 y 1)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) x) (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (*.f64 (-.f64 y 1) (exp.f64 1))))) (+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 1 (/.f64 y (-.f64 y 1))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (E.f64) 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (*.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 (exp.f64 1) 2))))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2))))) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) x) (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (*.f64 (-.f64 y 1) (exp.f64 1))))) (+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 1 (/.f64 y (-.f64 y 1))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (E.f64) 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (*.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 (exp.f64 1) 2))))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2))))) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (/.f64 (E.f64) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (*.f64 (pow.f64 (-.f64 y 1) 3) (exp.f64 1))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (E.f64) 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (*.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 (exp.f64 1) 3))))) (*.f64 6 (/.f64 (E.f64) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (*.f64 (pow.f64 (-.f64 y 1) 3) (exp.f64 1))))))) (pow.f64 x 3)))))) |
(+.f64 (log.f64 (*.f64 (E.f64) (-.f64 y 1))) (log.f64 (/.f64 1 x))) |
(+.f64 (log.f64 (*.f64 (E.f64) (-.f64 y 1))) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (/.f64 (*.f64 (E.f64) (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) (*.f64 x (exp.f64 1)))))) |
(+.f64 (log.f64 (*.f64 (E.f64) (-.f64 y 1))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) (*.f64 x (exp.f64 1)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2))) (pow.f64 (exp.f64 1) 2)))) (pow.f64 x 2)))))) |
(+.f64 (log.f64 (*.f64 (E.f64) (-.f64 y 1))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -6 (/.f64 (*.f64 (E.f64) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3))) (exp.f64 1))) (+.f64 (*.f64 6 (/.f64 (*.f64 (E.f64) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3))) (exp.f64 1))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (E.f64) 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3))) (pow.f64 (exp.f64 1) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))) (*.f64 x (exp.f64 1)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2))) (pow.f64 (exp.f64 1) 2)))) (pow.f64 x 2))))))) |
(+.f64 (log.f64 (*.f64 -1 (*.f64 (E.f64) (-.f64 y 1)))) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 (*.f64 -1 (*.f64 (E.f64) (-.f64 y 1)))) (*.f64 -1 (/.f64 (*.f64 (E.f64) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (*.f64 x (exp.f64 1)))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 (*.f64 -1 (*.f64 (E.f64) (-.f64 y 1)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (*.f64 x (exp.f64 1)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))) (pow.f64 (exp.f64 1) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))) (pow.f64 x 2)))))) |
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (*.f64 (E.f64) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3))) (exp.f64 1))) (+.f64 (*.f64 -6 (/.f64 (*.f64 (E.f64) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3))) (exp.f64 1))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (E.f64) 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3))) (pow.f64 (exp.f64 1) 3))))) (pow.f64 x 3))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 (*.f64 -1 (*.f64 (E.f64) (-.f64 y 1)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (*.f64 x (exp.f64 1)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))) (pow.f64 (exp.f64 1) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))) (pow.f64 x 2))))))) |
(log.f64 (/.f64 (exp.f64 1) (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (*.f64 y (-.f64 1 x))) (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)))) (log.f64 (/.f64 (exp.f64 1) (+.f64 1 (*.f64 -1 x))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (*.f64 y (-.f64 1 x))) (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 1 (*.f64 -1 x))) (exp.f64 1))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (pow.f64 (exp.f64 1) 2))))))) (log.f64 (/.f64 (exp.f64 1) (+.f64 1 (*.f64 -1 x)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (*.f64 y (-.f64 1 x))) (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (/.f64 (*.f64 (E.f64) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (-.f64 1 x))) (pow.f64 (exp.f64 1) 2))) (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (/.f64 (*.f64 (-.f64 1 x) (exp.f64 1)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (-.f64 1 x)) (+.f64 1 (*.f64 -1 x)))))) (+.f64 1 (*.f64 -1 x))) (exp.f64 1))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (E.f64) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 3) (pow.f64 (exp.f64 1) 3)))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 1 (*.f64 -1 x))) (exp.f64 1))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (pow.f64 (exp.f64 1) 2))))))) (log.f64 (/.f64 (exp.f64 1) (+.f64 1 (*.f64 -1 x))))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))) |
(+.f64 (/.f64 (*.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1))))) |
(+.f64 (/.f64 (*.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)) (*.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (exp.f64 1) 2)))) (*.f64 -2 (/.f64 (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) (pow.f64 (-.f64 x 1) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3))))) (exp.f64 1)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))))) |
(+.f64 (/.f64 (*.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)) (*.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (exp.f64 1) 2)))) (*.f64 -2 (/.f64 (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) (pow.f64 (-.f64 x 1) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3))))) (exp.f64 1)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (E.f64) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3)) (*.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (exp.f64 1) 3)))) (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) (pow.f64 (-.f64 x 1) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)) (pow.f64 (-.f64 x 1) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 1)) (pow.f64 (-.f64 x 1) 2)))) (+.f64 1 (*.f64 -1 x))) (-.f64 x 1)))) (-.f64 x 1)) (exp.f64 1))) (*.f64 6 (/.f64 (*.f64 (E.f64) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 1 (*.f64 -1 x))) (pow.f64 (-.f64 x 1) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3)))) (+.f64 1 (*.f64 -1 x)))) (pow.f64 (exp.f64 1) 2))))) (pow.f64 y 3))) (log.f64 (/.f64 (E.f64) (-.f64 x 1))))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1)))) (log.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1)))) (+.f64 (log.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1))) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3)))) (exp.f64 1))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (exp.f64 1) 2))))) (pow.f64 y 2)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1)))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (*.f64 (E.f64) (*.f64 (-.f64 1 x) (+.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1))) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 (exp.f64 1) 2))) (+.f64 (*.f64 6 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (exp.f64 1) (-.f64 1 x)) (pow.f64 (-.f64 x 1) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (E.f64) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 3)) (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1)))) (-.f64 1 x)) (-.f64 x 1))) (*.f64 -1 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (pow.f64 (-.f64 x 1) 2))))) (-.f64 x 1)) (exp.f64 1))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (E.f64) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (exp.f64 1) 3)))))) (pow.f64 y 3))) (+.f64 (log.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1))) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3)))) (exp.f64 1))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (exp.f64 1) 2))))) (pow.f64 y 2))))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 y (-.f64 y 1))) |
(-.f64 1 (/.f64 y (+.f64 y -1))) |
(-.f64 (+.f64 (/.f64 x (-.f64 y 1)) 1) (/.f64 y (-.f64 y 1))) |
(+.f64 1 (-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))) |
(-.f64 (+.f64 (/.f64 x (-.f64 y 1)) 1) (/.f64 y (-.f64 y 1))) |
(+.f64 1 (-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))) |
(-.f64 (+.f64 (/.f64 x (-.f64 y 1)) 1) (/.f64 y (-.f64 y 1))) |
(+.f64 1 (-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(-.f64 (+.f64 1 (/.f64 x (-.f64 y 1))) (/.f64 y (-.f64 y 1))) |
(+.f64 1 (-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))) |
(-.f64 (+.f64 1 (/.f64 x (-.f64 y 1))) (/.f64 y (-.f64 y 1))) |
(+.f64 1 (-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))) |
(-.f64 (+.f64 1 (/.f64 x (-.f64 y 1))) (/.f64 y (-.f64 y 1))) |
(+.f64 1 (-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(+.f64 1 (+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(+.f64 1 (-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))) |
(+.f64 1 (+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(+.f64 1 (-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))) |
(+.f64 1 (+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(+.f64 1 (-.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))) |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
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(+.f64 (*.f64 (/.f64 (E.f64) y) (/.f64 (-.f64 1 x) (*.f64 (+.f64 x -1) (E.f64)))) (fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 (/.f64 (pow.f64 (E.f64) 2) (pow.f64 (+.f64 x -1) 2)) (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (E.f64) 2))) (*.f64 -2 (/.f64 (+.f64 x -1) (/.f64 (E.f64) (*.f64 -1 (+.f64 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64))) (/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64))))))))) (*.f64 y y)) (fma.f64 -1 (neg.f64 (log.f64 y)) (fma.f64 1/6 (/.f64 (fma.f64 2 (/.f64 (pow.f64 (E.f64) 3) (/.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (E.f64) 3)) (pow.f64 (-.f64 1 x) 3))) (fma.f64 -6 (/.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64))) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64))) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64))) (/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64))))) (/.f64 (+.f64 x -1) (-.f64 1 x))))) (/.f64 (E.f64) (+.f64 x -1))) (*.f64 6 (/.f64 (E.f64) (/.f64 (pow.f64 (E.f64) 2) (*.f64 (-.f64 1 x) (*.f64 -1 (+.f64 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64))) (/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64))))))))))) (pow.f64 y 3)) (log.f64 (/.f64 (E.f64) (+.f64 x -1))))))) |
(fma.f64 (/.f64 (E.f64) y) (/.f64 (/.f64 (-.f64 1 x) (E.f64)) (+.f64 x -1)) (+.f64 (fma.f64 1/6 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (+.f64 x -1) 3)) (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (E.f64) 3))) (fma.f64 -6 (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (E.f64)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 1 x))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64))) (+.f64 x -1)) (-.f64 1 x)) (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64)))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64))) (/.f64 (E.f64) (+.f64 x -1))) (/.f64 6 (/.f64 (exp.f64 2) (*.f64 (-.f64 1 x) (*.f64 (neg.f64 (E.f64)) (+.f64 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64))))))))) (pow.f64 y 3)) (-.f64 1 (log.f64 (+.f64 x -1)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 -2 (+.f64 x -1)) (-.f64 (/.f64 (neg.f64 (E.f64)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 1 x))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64)))) (E.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 2)) (/.f64 (exp.f64 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)) (log.f64 y)))) |
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x y) y)) 1) (+.f64 (fma.f64 1/6 (/.f64 (fma.f64 2 (*.f64 1 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3))) (fma.f64 -6 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (E.f64)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 1 x))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64))) (+.f64 x -1)) (-.f64 1 x)) (+.f64 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64)))) (/.f64 (E.f64) (+.f64 x -1))) (*.f64 6 (/.f64 (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64)))) (E.f64))))) (pow.f64 y 3)) (-.f64 1 (log.f64 (+.f64 x -1)))) (fma.f64 (/.f64 1/2 y) (/.f64 (-.f64 (/.f64 -2 (/.f64 (E.f64) (neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64))) (+.f64 x -1))))) (*.f64 1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) y) (log.f64 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (/.f64 (E.f64) (+.f64 x -1))))) |
(-.f64 (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1))) (log.f64 (/.f64 -1 y))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1)))) (log.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1)))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 (/.f64 (E.f64) y) (/.f64 (-.f64 1 x) (*.f64 (+.f64 x -1) (E.f64)))) (log.f64 (neg.f64 (/.f64 (E.f64) (+.f64 x -1)))))) |
(-.f64 (fma.f64 (/.f64 (E.f64) y) (/.f64 (/.f64 (-.f64 1 x) (E.f64)) (+.f64 x -1)) (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1)))) (log.f64 (/.f64 -1 y))) |
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x y) y)) 1) (-.f64 (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1))) (log.f64 (/.f64 -1 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1)))) (+.f64 (log.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1))) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3)))) (exp.f64 1))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (exp.f64 1) 2))))) (pow.f64 y 2)))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) y) (/.f64 (-.f64 1 x) (*.f64 (+.f64 x -1) (E.f64)))) (log.f64 (neg.f64 (/.f64 (E.f64) (+.f64 x -1))))) (*.f64 1/2 (/.f64 (fma.f64 2 (/.f64 (+.f64 x -1) (/.f64 (E.f64) (fma.f64 -1 (/.f64 (E.f64) (+.f64 x -1)) (/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64)))))) (neg.f64 (*.f64 (/.f64 (pow.f64 (E.f64) 2) (pow.f64 (+.f64 x -1) 2)) (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (E.f64) 2))))) (*.f64 y y))))) |
(-.f64 (fma.f64 (/.f64 (E.f64) y) (/.f64 (/.f64 (-.f64 1 x) (E.f64)) (+.f64 x -1)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (/.f64 (E.f64) (*.f64 (+.f64 x -1) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64)) (/.f64 (E.f64) (+.f64 x -1)))))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 2)) (/.f64 (exp.f64 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)) (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1))))) (log.f64 (/.f64 -1 y))) |
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x y) y)) 1) (-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (/.f64 (E.f64) (*.f64 (+.f64 x -1) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64)) (/.f64 (E.f64) (+.f64 x -1)))))) (*.f64 1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)) (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1)))) (log.f64 (/.f64 -1 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (*.f64 y (*.f64 (-.f64 x 1) (exp.f64 1)))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (*.f64 (E.f64) (*.f64 (-.f64 1 x) (+.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1))) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 (exp.f64 1) 2))) (+.f64 (*.f64 6 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (exp.f64 1) (-.f64 1 x)) (pow.f64 (-.f64 x 1) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (E.f64) (pow.f64 (-.f64 1 x) 2)) (pow.f64 (-.f64 x 1) 3)) (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1)))) (-.f64 1 x)) (-.f64 x 1))) (*.f64 -1 (/.f64 (*.f64 (E.f64) (-.f64 1 x)) (pow.f64 (-.f64 x 1) 2))))) (-.f64 x 1)) (exp.f64 1))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (E.f64) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (exp.f64 1) 3)))))) (pow.f64 y 3))) (+.f64 (log.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (/.f64 (E.f64) (-.f64 x 1))) (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 1)) (pow.f64 (-.f64 x 1) 3)))) (exp.f64 1))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (exp.f64 1) 2))))) (pow.f64 y 2))))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 (/.f64 (E.f64) y) (/.f64 (-.f64 1 x) (*.f64 (+.f64 x -1) (E.f64)))) (fma.f64 -1/6 (/.f64 (fma.f64 6 (/.f64 (E.f64) (/.f64 (pow.f64 (E.f64) 2) (*.f64 (-.f64 1 x) (fma.f64 -1 (/.f64 (E.f64) (+.f64 x -1)) (/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64))))))) (fma.f64 6 (/.f64 (+.f64 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64))) (*.f64 -1 (+.f64 (/.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) (fma.f64 -1 (/.f64 (E.f64) (+.f64 x -1)) (/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64)))))) (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64)))))) (/.f64 (E.f64) (+.f64 x -1))) (*.f64 -2 (/.f64 (pow.f64 (E.f64) 3) (/.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (E.f64) 3)) (pow.f64 (-.f64 1 x) 3)))))) (pow.f64 y 3)) (+.f64 (log.f64 (neg.f64 (/.f64 (E.f64) (+.f64 x -1)))) (*.f64 1/2 (/.f64 (fma.f64 2 (/.f64 (+.f64 x -1) (/.f64 (E.f64) (fma.f64 -1 (/.f64 (E.f64) (+.f64 x -1)) (/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64)))))) (neg.f64 (*.f64 (/.f64 (pow.f64 (E.f64) 2) (pow.f64 (+.f64 x -1) 2)) (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (E.f64) 2))))) (*.f64 y y))))))) |
(-.f64 (fma.f64 (/.f64 (E.f64) y) (/.f64 (/.f64 (-.f64 1 x) (E.f64)) (+.f64 x -1)) (fma.f64 -1/6 (/.f64 (fma.f64 6 (*.f64 (/.f64 (E.f64) (exp.f64 2)) (fma.f64 (-.f64 1 x) (/.f64 (neg.f64 (E.f64)) (+.f64 x -1)) (/.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64))))) (fma.f64 6 (*.f64 (/.f64 (-.f64 (*.f64 0 (/.f64 (-.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) (E.f64)))) (/.f64 (fma.f64 (-.f64 1 x) (/.f64 (neg.f64 (E.f64)) (+.f64 x -1)) (/.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64)))) (+.f64 x -1))) (E.f64)) (+.f64 x -1)) (*.f64 -2 (*.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (+.f64 x -1) 3)) (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (E.f64) 3)))))) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (/.f64 (E.f64) (*.f64 (+.f64 x -1) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64)) (/.f64 (E.f64) (+.f64 x -1)))))) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (exp.f64 2)) (/.f64 (exp.f64 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)) (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1)))))) (log.f64 (/.f64 -1 y))) |
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x y) y)) 1) (-.f64 (fma.f64 -1/6 (/.f64 (fma.f64 6 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64))) (*.f64 (-.f64 1 x) (/.f64 (E.f64) (+.f64 x -1)))) (E.f64)) (fma.f64 6 (*.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 (pow.f64 (+.f64 x -1) 3) (E.f64))) (*.f64 (-.f64 1 x) (/.f64 (E.f64) (+.f64 x -1)))) (+.f64 x -1))) (E.f64)) (+.f64 x -1)) (*.f64 -2 (*.f64 1 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)))))) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (/.f64 (E.f64) (*.f64 (+.f64 x -1) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 3)) (E.f64)) (/.f64 (E.f64) (+.f64 x -1)))))) (*.f64 1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)) (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1))))) (log.f64 (/.f64 -1 y)))) |
Compiled 18895 to 13742 computations (27.3% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 722 | 12 | 734 |
| Fresh | 9 | 1 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 734 | 16 | 750 |
| Status | Error | Program |
|---|---|---|
| 37.2b | (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) | |
| ▶ | 49.8b | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| 62.7b | (-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (log.f64 (/.f64 -1 y))) | |
| ▶ | 49.0b | (-.f64 1 (log.f64 (/.f64 -1 y))) |
| 44.3b | (-.f64 1 (log1p.f64 (/.f64 x y))) | |
| ▶ | 39.1b | (-.f64 1 y) |
| ▶ | 39.8b | (-.f64 1 (fma.f64 y (*.f64 y 1/2) y)) |
| 39.3b | (-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) | |
| ✓ | 18.9b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 37.7b | 1 | |
| 56.8b | (-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) | |
| ✓ | 39.4b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| ✓ | 19.6b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ▶ | 24.8b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 40.1b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 -1 (+.f64 y 1)) y))) | |
| 50.1b | (-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
Compiled 338 to 267 computations (21% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
Compiled 14 to 7 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 1.0ms | x | @ | 0 | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 519× | pow1_binary64 |
| 506× | add-sqr-sqrt_binary64 |
| 483× | add-log-exp_binary64 |
| 483× | expm1-log1p-u_binary64 |
| 482× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 123 | 6 |
| 2 | 1525 | 6 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x)))) (-.f64 1 (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log1p.f64 x)) (-.f64 1 (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (+.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 869× | sub-neg_binary64 |
| 502× | fma-neg_binary64 |
| 476× | associate-*l*_binary64 |
| 437× | fma-def_binary64 |
| 429× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 224 |
| 1 | 140 | 204 |
| 2 | 378 | 204 |
| 3 | 1166 | 199 |
| 4 | 3242 | 199 |
| 5 | 7339 | 199 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 1 (fma.f64 x (*.f64 x 1/2) x)) |
(fma.f64 (fma.f64 x 1/2 1) x 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))) |
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/3 (pow.f64 x 3) x))) |
(+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x 1/3 1/2) x)) |
(fma.f64 x (*.f64 x (fma.f64 x 1/3 1/2)) (+.f64 1 x)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 1 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1)) |
(-.f64 1 (+.f64 (log.f64 x) (log.f64 -1))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(+.f64 1 (-.f64 (/.f64 1 x) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))) |
(+.f64 (/.f64 1 x) (-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1))) |
(+.f64 1 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1)))) |
(+.f64 (-.f64 1 (log.f64 x)) (-.f64 (/.f64 1 x) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1))) |
(+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1))) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 1 (-.f64 (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 -1)) (log.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 -1))))) |
(+.f64 (+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1))) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (+.f64 (log.f64 -1) -1)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 -1 (log.f64 x)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 -1 (log.f64 -1)))) (log.f64 x))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 1 (neg.f64 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (log.f64 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (neg.f64 (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (neg.f64 (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))))) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log.f64 (/.f64 -1 y))) |
Compiled 18 to 14 computations (22.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | y | @ | 0 | (-.f64 1 (log.f64 (/.f64 -1 y))) |
| 11.0ms | y | @ | -inf | (-.f64 1 (log.f64 (/.f64 -1 y))) |
| 10.0ms | y | @ | inf | (-.f64 1 (log.f64 (/.f64 -1 y))) |
| 1× | batch-egg-rewrite |
| 680× | pow1_binary64 |
| 631× | add-log-exp_binary64 |
| 629× | log1p-expm1-u_binary64 |
| 629× | expm1-log1p-u_binary64 |
| 620× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 142 | 9 |
| 2 | 1688 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (log.f64 (/.f64 -1 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (log.f64 (*.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (log.f64 (*.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 -1)) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (log.f64 (*.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log.f64 (*.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (log.f64 (*.f64 y -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (*.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (*.f64 y -1)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (*.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 (*.f64 y -1)))) (sqrt.f64 (+.f64 1 (log.f64 (*.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (pow.f64 (log.f64 (/.f64 -1 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 -1 y)) 2)) (/.f64 1 (+.f64 1 (log.f64 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (pow.f64 (log.f64 (/.f64 -1 y)) 2))) (-.f64 1 (pow.f64 (log.f64 (/.f64 -1 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (pow.f64 (log.f64 (/.f64 -1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 -1 y)) 3)) (+.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (pow.f64 (log.f64 (/.f64 -1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 -1 y)) 2)) (+.f64 1 (log.f64 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 -1 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (pow.f64 (log.f64 (/.f64 -1 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 -1 y)) 2))) (neg.f64 (+.f64 1 (log.f64 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 (*.f64 y -1)) 3)) (+.f64 1 (-.f64 (*.f64 (log.f64 (*.f64 y -1)) (log.f64 (*.f64 y -1))) (log.f64 (*.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (log.f64 (*.f64 y -1)) (log.f64 (*.f64 y -1)))) (-.f64 1 (log.f64 (*.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log.f64 (*.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 (*.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (*.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (*.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (*.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (E.f64) (*.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (*.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (log.f64 (*.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (E.f64) (*.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log.f64 (*.f64 y -1)))))))) |
| 1× | egg-herbie |
| 116× | fma-neg_binary64 |
| 63× | fma-def_binary64 |
| 38× | cancel-sign-sub-inv_binary64 |
| 37× | sub-neg_binary64 |
| 22× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 104 |
| 1 | 26 | 88 |
| 2 | 52 | 88 |
| 3 | 97 | 88 |
| 4 | 203 | 88 |
| 5 | 334 | 88 |
| 6 | 446 | 88 |
| 7 | 508 | 88 |
| 8 | 523 | 88 |
| 9 | 524 | 88 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
| Outputs |
|---|
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
(-.f64 1 (-.f64 (log.f64 -1) (log.f64 y))) |
(+.f64 (log.f64 y) (-.f64 1 (log.f64 -1))) |
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
(-.f64 1 (-.f64 (log.f64 -1) (log.f64 y))) |
(+.f64 (log.f64 y) (-.f64 1 (log.f64 -1))) |
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
(-.f64 1 (-.f64 (log.f64 -1) (log.f64 y))) |
(+.f64 (log.f64 y) (-.f64 1 (log.f64 -1))) |
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
(-.f64 1 (-.f64 (log.f64 -1) (log.f64 y))) |
(+.f64 (log.f64 y) (-.f64 1 (log.f64 -1))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
(-.f64 1 (-.f64 (log.f64 -1) (log.f64 y))) |
(+.f64 (log.f64 y) (-.f64 1 (log.f64 -1))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
(-.f64 1 (-.f64 (log.f64 -1) (log.f64 y))) |
(+.f64 (log.f64 y) (-.f64 1 (log.f64 -1))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
(-.f64 1 (-.f64 (log.f64 -1) (log.f64 y))) |
(+.f64 (log.f64 y) (-.f64 1 (log.f64 -1))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
(-.f64 1 (-.f64 (log.f64 -1) (log.f64 y))) |
(+.f64 (log.f64 y) (-.f64 1 (log.f64 -1))) |
Compiled 22 to 14 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
Compiled 33 to 25 computations (24.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
| 0.0ms | y | @ | -inf | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| 0.0ms | y | @ | 0 | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| 0.0ms | y | @ | inf | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| 0.0ms | y | @ | inf | (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
| 1× | batch-egg-rewrite |
| 931× | pow1_binary64 |
| 871× | add-log-exp_binary64 |
| 869× | log1p-expm1-u_binary64 |
| 869× | expm1-log1p-u_binary64 |
| 98× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 197 | 25 |
| 2 | 2691 | 25 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (-.f64 (log.f64 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) (/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) 2) (cbrt.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (pow.f64 y -1/2)) (hypot.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (/.f64 (neg.f64 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (/.f64 1 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (-.f64 (+.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (/.f64 (neg.f64 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (-.f64 (pow.f64 y -2) (/.f64 (neg.f64 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y -3) (pow.f64 (neg.f64 (log.f64 y)) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (/.f64 (neg.f64 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y -2) (pow.f64 (neg.f64 (log.f64 y)) 2))) (neg.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (pow.f64 y -2)) (-.f64 (neg.f64 (log.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (pow.f64 y -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 y) (exp.f64 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (log.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2) (cbrt.f64 (neg.f64 (log.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (sqrt.f64 (neg.f64 (log.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (neg.f64 (log.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 y)) (neg.f64 (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 y)) (*.f64 -1 (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 y)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2)) (cbrt.f64 (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 y)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 y)))) (sqrt.f64 (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (/.f64 1 y)) (log.f64 -1)) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))) 2) (cbrt.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))) (sqrt.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 2)) (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 2)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 2)) (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) (-.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) (-.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 3)) (+.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 2)) (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 2)) (+.f64 1 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 2)) (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 2))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 y)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 y)) (+.f64 1 (/.f64 1 y))) (+.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (*.f64 (+.f64 1 (/.f64 1 y)) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 y)) (+.f64 1 (/.f64 1 y))) (pow.f64 (neg.f64 (log.f64 y)) 2)) (+.f64 1 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))) (-.f64 1 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 1 (/.f64 1 y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (-.f64 1 (neg.f64 (log.f64 y))) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))))))) |
| 1× | egg-herbie |
| 1677× | fma-neg_binary64 |
| 670× | associate--r-_binary64 |
| 474× | fma-def_binary64 |
| 470× | associate--l+_binary64 |
| 466× | associate--l-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 264 |
| 1 | 48 | 200 |
| 2 | 110 | 200 |
| 3 | 258 | 200 |
| 4 | 620 | 200 |
| 5 | 1124 | 200 |
| 6 | 1641 | 200 |
| 7 | 2008 | 200 |
| 8 | 2849 | 200 |
| 9 | 3643 | 200 |
| 10 | 3918 | 200 |
| 11 | 3942 | 200 |
| 12 | 3964 | 200 |
| 13 | 3964 | 200 |
| 14 | 5231 | 200 |
| 15 | 5231 | 200 |
| 16 | 5231 | 200 |
| 17 | 7660 | 200 |
| 18 | 7835 | 200 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(log.f64 (/.f64 -1 y)) |
(/.f64 -1 y) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(/.f64 -1 y) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 y))) |
Compiled 2378 to 1648 computations (30.7% saved)
21 alts after pruning (13 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 6 | 168 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 163 | 21 | 184 |
| Status | Error | Program |
|---|---|---|
| 56.8b | (-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) | |
| ▶ | 59.7b | (-.f64 1 (/.f64 1 y)) |
| ▶ | 37.2b | (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
| ▶ | 37.7b | (+.f64 1 x) |
| ✓ | 49.8b | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| 62.7b | (-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (log.f64 (/.f64 -1 y))) | |
| ✓ | 49.0b | (-.f64 1 (log.f64 (/.f64 -1 y))) |
| 44.3b | (-.f64 1 (log1p.f64 (/.f64 x y))) | |
| ✓ | 39.1b | (-.f64 1 y) |
| ✓ | 39.8b | (-.f64 1 (fma.f64 y (*.f64 y 1/2) y)) |
| 61.6b | (/.f64 -1 y) | |
| ✓ | 24.8b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| ▶ | 38.6b | (+.f64 (neg.f64 (log1p.f64 x)) 1) |
| 39.3b | (-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) | |
| ✓ | 18.9b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 40.1b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 -1 (+.f64 y 1)) y))) | |
| ▶ | 62.6b | (+.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1) |
| 37.7b | 1 | |
| ✓ | 39.4b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| ✓ | 19.6b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| 50.1b | (-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
Compiled 366 to 291 computations (20.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (*.f64 (E.f64) y) (-.f64 x 1)) |
| ✓ | 0.4b | (*.f64 (E.f64) y) |
| ✓ | 6.0b | (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
Compiled 27 to 14 computations (48.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | y | @ | inf | (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
| 17.0ms | y | @ | -inf | (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
| 15.0ms | y | @ | 0 | (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
| 3.0ms | x | @ | inf | (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 462× | log-prod_binary64 |
| 365× | exp-prod_binary64 |
| 287× | pow-prod-down_binary64 |
| 286× | prod-exp_binary64 |
| 233× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 189 | 28 |
| 2 | 2511 | 28 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
(*.f64 (E.f64) y) |
(/.f64 (*.f64 (E.f64) y) (-.f64 x 1)) |
| Outputs |
|---|
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(/.f64 (+.f64 x -1) y)))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))) 1) (sqrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))) (cbrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (E.f64) y) (+.f64 (neg.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (E.f64) (/.f64 (+.f64 x -1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (E.f64) (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (E.f64) (/.f64 (+.f64 x -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (*.f64 (E.f64) y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (E.f64) y) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (E.f64) (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (E.f64) (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 1/3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 1/2 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 -1 (log.f64 (/.f64 (+.f64 x -1) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (+.f64 1 (log.f64 y)) 1) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (+.f64 1 (log.f64 y)) (*.f64 (log.f64 (+.f64 x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (+.f64 1 (log.f64 y)) 1) (*.f64 (log.f64 (+.f64 x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (+.f64 1 (log.f64 y)) 1) (neg.f64 (log.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (+.f64 x -1))) (*.f64 (+.f64 1 (log.f64 y)) 1))))))) |
| 1× | egg-herbie |
| 685× | fma-def_binary64 |
| 452× | associate-+l+_binary64 |
| 345× | distribute-rgt-out_binary64 |
| 323× | sub-neg_binary64 |
| 317× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1155 |
| 1 | 484 | 867 |
| 2 | 1490 | 790 |
| 3 | 5413 | 759 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 x 1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 x 1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 x 1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 x 1))) (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1))))) |
(log.f64 (*.f64 -1 (*.f64 (E.f64) y))) |
(+.f64 (/.f64 (*.f64 x (exp.f64 1)) (E.f64)) (log.f64 (*.f64 -1 (*.f64 (E.f64) y)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 1) x) (E.f64)) (+.f64 (log.f64 (*.f64 -1 (*.f64 (E.f64) y))) (*.f64 1/2 (*.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 (E.f64) 2)))) (pow.f64 x 2))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 1) x) (E.f64)) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 1) 3) (pow.f64 (E.f64) 3))) (+.f64 (*.f64 -6 (/.f64 (exp.f64 1) (E.f64))) (*.f64 6 (/.f64 (exp.f64 1) (E.f64))))) (pow.f64 x 3))) (+.f64 (log.f64 (*.f64 -1 (*.f64 (E.f64) y))) (*.f64 1/2 (*.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 (E.f64) 2)))) (pow.f64 x 2)))))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 y (exp.f64 1)))) |
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 (*.f64 y (exp.f64 1))) (/.f64 (exp.f64 1) (*.f64 (E.f64) x)))) |
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 (*.f64 y (exp.f64 1))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 (E.f64) 2)))) (pow.f64 x 2))) (/.f64 (exp.f64 1) (*.f64 (E.f64) x))))) |
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 (*.f64 y (exp.f64 1))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 1) 3) (pow.f64 (E.f64) 3))) (+.f64 (*.f64 -6 (/.f64 (exp.f64 1) (E.f64))) (*.f64 6 (/.f64 (exp.f64 1) (E.f64))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 1) 2) (pow.f64 (E.f64) 2)))) (pow.f64 x 2))) (/.f64 (exp.f64 1) (*.f64 (E.f64) x)))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 -1 (*.f64 (E.f64) y)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 (*.f64 -1 (*.f64 (E.f64) y))) (/.f64 (E.f64) (*.f64 x (exp.f64 1))))) |
(+.f64 (/.f64 (E.f64) (*.f64 (exp.f64 1) x)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (E.f64) 2) (pow.f64 (exp.f64 1) 2)))) (pow.f64 x 2))) (log.f64 (*.f64 -1 (*.f64 (E.f64) y)))))) |
(+.f64 (/.f64 (E.f64) (*.f64 (exp.f64 1) x)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (/.f64 (E.f64) (exp.f64 1))) (+.f64 (*.f64 6 (/.f64 (E.f64) (exp.f64 1))) (*.f64 -2 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (exp.f64 1) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (E.f64) 2) (pow.f64 (exp.f64 1) 2)))) (pow.f64 x 2))) (log.f64 (*.f64 -1 (*.f64 (E.f64) y))))))) |
(*.f64 y (exp.f64 1)) |
(*.f64 y (exp.f64 1)) |
(*.f64 y (exp.f64 1)) |
(*.f64 y (exp.f64 1)) |
(/.f64 (*.f64 y (exp.f64 1)) (-.f64 x 1)) |
(/.f64 (*.f64 y (exp.f64 1)) (-.f64 x 1)) |
(/.f64 (*.f64 y (exp.f64 1)) (-.f64 x 1)) |
(/.f64 (*.f64 y (exp.f64 1)) (-.f64 x 1)) |
(/.f64 (*.f64 y (exp.f64 1)) (-.f64 x 1)) |
(/.f64 (*.f64 y (exp.f64 1)) (-.f64 x 1)) |
(/.f64 (*.f64 y (exp.f64 1)) (-.f64 x 1)) |
(/.f64 (*.f64 y (exp.f64 1)) (-.f64 x 1)) |
(*.f64 -1 (*.f64 y (exp.f64 1))) |
(+.f64 (*.f64 -1 (*.f64 y (exp.f64 1))) (*.f64 -1 (*.f64 (E.f64) (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 y (exp.f64 1))) (+.f64 (*.f64 -1 (*.f64 y (*.f64 (exp.f64 1) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (E.f64) (*.f64 y x))))) |
(+.f64 (*.f64 -1 (*.f64 y (exp.f64 1))) (+.f64 (*.f64 -1 (*.f64 y (*.f64 (exp.f64 1) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (E.f64) (*.f64 y x))) (*.f64 -1 (*.f64 (E.f64) (*.f64 y (pow.f64 x 3))))))) |
(/.f64 (*.f64 y (exp.f64 1)) x) |
(+.f64 (/.f64 (*.f64 y (exp.f64 1)) x) (/.f64 (*.f64 (E.f64) y) (pow.f64 x 2))) |
(+.f64 (/.f64 (*.f64 y (exp.f64 1)) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 y (exp.f64 1)) x) (/.f64 (*.f64 (E.f64) y) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y (exp.f64 1)) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 y (exp.f64 1)) x) (+.f64 (/.f64 (*.f64 (E.f64) y) (pow.f64 x 4)) (/.f64 (*.f64 (E.f64) y) (pow.f64 x 2))))) |
(/.f64 (*.f64 (E.f64) y) x) |
(+.f64 (/.f64 (*.f64 y (exp.f64 1)) (pow.f64 x 2)) (/.f64 (*.f64 (E.f64) y) x)) |
(+.f64 (/.f64 (*.f64 y (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (E.f64) y) (pow.f64 x 3)) (/.f64 (*.f64 (E.f64) y) x))) |
(+.f64 (/.f64 (*.f64 y (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (E.f64) y) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (E.f64) y) x) (/.f64 (*.f64 y (exp.f64 1)) (pow.f64 x 4))))) |
| Outputs |
|---|
(+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 x 1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (E.f64) (+.f64 x -1))) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1))) |
(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 x -1)))) |
(+.f64 (-.f64 1 (log.f64 (+.f64 x -1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 x 1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (E.f64) (+.f64 x -1))) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1))) |
(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 x -1)))) |
(+.f64 (-.f64 1 (log.f64 (+.f64 x -1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 x 1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (E.f64) (+.f64 x -1))) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1))) |
(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 x -1)))) |
(+.f64 (-.f64 1 (log.f64 (+.f64 x -1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (exp.f64 1) (-.f64 x 1))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 (E.f64) (+.f64 x -1))) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1))) |
(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 x -1)))) |
(+.f64 (-.f64 1 (log.f64 (+.f64 x -1))) (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))) |
(+.f64 (log.f64 (/.f64 (E.f64) (+.f64 x -1))) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1))) |
(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 x -1)))) |
(+.f64 (-.f64 1 (log.f64 (+.f64 x -1))) (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))) |
(+.f64 (log.f64 (/.f64 (E.f64) (+.f64 x -1))) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1))) |
(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 x -1)))) |
(+.f64 (-.f64 1 (log.f64 (+.f64 x -1))) (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))) |
(+.f64 (log.f64 (/.f64 (E.f64) (+.f64 x -1))) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1))) |
(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 x -1)))) |
(+.f64 (-.f64 1 (log.f64 (+.f64 x -1))) (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (/.f64 (E.f64) (-.f64 x 1)))) |
(+.f64 (log.f64 (/.f64 (E.f64) (+.f64 x -1))) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1))) |
(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 x -1)))) |
(+.f64 (-.f64 1 (log.f64 (+.f64 x -1))) (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (/.f64 (E.f64) (+.f64 x -1))))) |
(-.f64 (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1))) (log.f64 (/.f64 -1 y))) |
(-.f64 (-.f64 1 (log.f64 (-.f64 (/.f64 x -1) -1))) (log.f64 (/.f64 -1 y))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (/.f64 (E.f64) (+.f64 x -1))))) |
(-.f64 (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1))) (log.f64 (/.f64 -1 y))) |
(-.f64 (-.f64 1 (log.f64 (-.f64 (/.f64 x -1) -1))) (log.f64 (/.f64 -1 y))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (/.f64 (E.f64) (+.f64 x -1))))) |
(-.f64 (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1))) (log.f64 (/.f64 -1 y))) |
(-.f64 (-.f64 1 (log.f64 (-.f64 (/.f64 x -1) -1))) (log.f64 (/.f64 -1 y))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (/.f64 (exp.f64 1) (-.f64 x 1))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (/.f64 (E.f64) (+.f64 x -1))))) |
(-.f64 (log.f64 (/.f64 (neg.f64 (E.f64)) (+.f64 x -1))) (log.f64 (/.f64 -1 y))) |
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(+.f64 (/.f64 (*.f64 y (exp.f64 1)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (E.f64) y) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (E.f64) y) x) (/.f64 (*.f64 y (exp.f64 1)) (pow.f64 x 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 (*.f64 y (E.f64)) (pow.f64 x 4)) (/.f64 (*.f64 y (E.f64)) (*.f64 x x))) (/.f64 y (/.f64 x (E.f64)))) (/.f64 (E.f64) (/.f64 (pow.f64 x 3) y))) |
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) x) y) (*.f64 (/.f64 (E.f64) x) (/.f64 y x))) (*.f64 (/.f64 y (pow.f64 x 4)) (E.f64))) (/.f64 (E.f64) (/.f64 (pow.f64 x 3) y))) |
(+.f64 (*.f64 (E.f64) (+.f64 (/.f64 y (pow.f64 x 4)) (/.f64 y x))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 y (/.f64 y x)))) |
(*.f64 (+.f64 (/.f64 y x) (/.f64 (/.f64 y x) x)) (+.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64))) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 12 to 9 computations (25% saved)
Compiled 14 to 7 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1) |
| ✓ | 0.0b | (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) |
Compiled 28 to 15 computations (46.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) |
| 0.0ms | y | @ | 0 | (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) |
| 0.0ms | y | @ | inf | (+.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1) |
| 0.0ms | y | @ | -inf | (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) |
| 0.0ms | y | @ | -inf | (+.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1) |
| 1× | batch-egg-rewrite |
| 758× | pow1_binary64 |
| 712× | log1p-expm1-u_binary64 |
| 712× | expm1-log1p-u_binary64 |
| 711× | add-log-exp_binary64 |
| 698× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 1 | 180 | 15 |
| 2 | 2664 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) |
(+.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (log.f64 y)) (fma.f64 (log.f64 y) 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (log.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (log.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (log.f64 y)) (fma.f64 (log.f64 y) -1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y 0) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) (/.f64 1 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (+.f64 y (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (log.f64 y))) 2) (cbrt.f64 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (log.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 y (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (log.f64 y))) (sqrt.f64 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (log.f64 y))) (*.f64 (sqrt.f64 (+.f64 y (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (/.f64 1 (fma.f64 y y (*.f64 (log.f64 y) (+.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 y))) (-.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (log.f64 y) (+.f64 y (log.f64 y)))) (+.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (log.f64 y)) (pow.f64 (+.f64 y (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) (+.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (fma.f64 y y (*.f64 (log.f64 y) (+.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (log.f64 y) 2) (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) (neg.f64 (fma.f64 y y (*.f64 (log.f64 y) (+.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 y (log.f64 y)) 2)) (neg.f64 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) 1) (+.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) 1) (fma.f64 y y (*.f64 (log.f64 y) (+.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (log.f64 y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 y (+.f64 (log.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (+.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 y) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) (+.f64 y (+.f64 (log.f64 y) -1))) (/.f64 1 (+.f64 y (+.f64 (log.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (+.f64 y (log.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 y (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 y (log.f64 y)))) 2) (cbrt.f64 (+.f64 1 (+.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (+.f64 y (log.f64 y)))) (sqrt.f64 (+.f64 1 (+.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 y (log.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) (-.f64 1 (+.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) -1) (/.f64 1 (+.f64 y (+.f64 (log.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) (-.f64 1 (+.f64 y (log.f64 y)))) (+.f64 1 (pow.f64 (+.f64 y (log.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (+.f64 (log.f64 y) -1)) (+.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 y (log.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) (-.f64 1 (+.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 y (log.f64 y)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) (+.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) -1) (+.f64 y (+.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 y (log.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) (-.f64 1 (+.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y (log.f64 y)) 2) -1)) (neg.f64 (+.f64 y (+.f64 (log.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (+.f64 (log.f64 y) -1) 3)) (+.f64 (*.f64 y y) (+.f64 (*.f64 (+.f64 (log.f64 y) -1) (+.f64 (log.f64 y) -1)) (*.f64 y (+.f64 (log.f64 y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 (log.f64 y) -1) (+.f64 (log.f64 y) -1))) (+.f64 y (+.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 y (log.f64 y)) 2)) (-.f64 1 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (+.f64 y (log.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (+.f64 y (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (+.f64 y (log.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (+.f64 y (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (E.f64) (*.f64 (exp.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (+.f64 y (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (+.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (+.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (neg.f64 (+.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (log.f64 y))) 2) (cbrt.f64 (+.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (+.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (log.f64 y))) (sqrt.f64 (+.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (+.f64 (log.f64 y) -1))))))) |
| 1× | egg-herbie |
| 1056× | fma-def_binary64 |
| 762× | fma-neg_binary64 |
| 742× | associate--r-_binary64 |
| 552× | associate--r+_binary64 |
| 486× | associate--l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 231 |
| 1 | 54 | 215 |
| 2 | 104 | 215 |
| 3 | 236 | 215 |
| 4 | 517 | 215 |
| 5 | 1613 | 215 |
| 6 | 2664 | 215 |
| 7 | 4439 | 215 |
| 8 | 4737 | 215 |
| 9 | 4799 | 215 |
| 10 | 4804 | 215 |
| 11 | 4805 | 215 |
| 12 | 5630 | 215 |
| 13 | 5630 | 215 |
| 14 | 5630 | 215 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(neg.f64 (neg.f64 (log.f64 y))) |
(log.f64 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(neg.f64 (neg.f64 (log.f64 y))) |
(log.f64 y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (log.f64 y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (log.f64 y))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (log.f64 y))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (log.f64 y))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (log.f64 y))) |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (log.f64 y))) |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (log.f64 y))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (log.f64 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (log.f64 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 1 (log.f64 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (log.f64 y))) |
Compiled 5177 to 3485 computations (32.7% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 6 | 337 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 9 | 12 |
| Total | 338 | 20 | 358 |
| Status | Error | Program |
|---|---|---|
| ✓ | 37.7b | (+.f64 1 x) |
| ✓ | 49.8b | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| 61.9b | (+.f64 (log.f64 y) 1) | |
| 37.4b | (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) | |
| 44.3b | (-.f64 1 (log1p.f64 (/.f64 x y))) | |
| 50.5b | (+.f64 x (+.f64 1 (log.f64 (neg.f64 y)))) | |
| 59.7b | (+.f64 (/.f64 1 y) 1) | |
| ✓ | 39.1b | (-.f64 1 y) |
| ✓ | 39.8b | (-.f64 1 (fma.f64 y (*.f64 y 1/2) y)) |
| 61.6b | (/.f64 -1 y) | |
| ✓ | 24.8b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| ✓ | 38.6b | (+.f64 (neg.f64 (log1p.f64 x)) 1) |
| 39.3b | (-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) | |
| ✓ | 18.9b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 48.3b | (log.f64 (/.f64 (*.f64 (E.f64) y) x)) | |
| ✓ | 59.7b | (-.f64 1 (/.f64 1 y)) |
| 37.7b | 1 | |
| ✓ | 39.4b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 49.0b | (+.f64 1 (log.f64 (neg.f64 y))) | |
| 50.1b | (-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
Compiled 180 to 144 computations (20% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 x) |
(/.f64 -1 y) |
(-.f64 1 y) |
(+.f64 (/.f64 1 y) 1) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
(+.f64 (log.f64 y) 1) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 1 (log.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(+.f64 x (+.f64 1 (log.f64 (neg.f64 y)))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) |
(-.f64 1 (fma.f64 y (*.f64 y 1/2) y)) |
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
(+.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 -1 (+.f64 y 1)) y))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (log.f64 (/.f64 -1 y))) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(log.f64 (/.f64 (*.f64 (E.f64) y) x)) |
(log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) |
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) |
(log.f64 (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) |
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) 1/3)) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1/3 (pow.f64 y 3)) (+.f64 (/.f64 1/2 (*.f64 y y)) (log1p.f64 (neg.f64 x)))) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))) |
| Outputs |
|---|
(log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(log.f64 (/.f64 (*.f64 (E.f64) y) x)) |
10 calls:
| 80.0ms | x |
| 60.0ms | y |
| 45.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 38.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 28.0ms | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| Error | Segments | Branch |
|---|---|---|
| 15.4b | 2 | x |
| 0.1b | 3 | y |
| 0.1b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.1b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.1b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.1b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.1b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.1b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.1b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 0.1b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
Compiled 478 to 335 computations (29.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 1.9630898604662304 | 1.3312833212542473e+44 |
| 19.0ms | -4391528646281.667 | -4025967.091330404 |
Compiled 307 to 238 computations (22.5% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 x) |
(/.f64 -1 y) |
(-.f64 1 y) |
(+.f64 (/.f64 1 y) 1) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
(+.f64 (log.f64 y) 1) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 1 (log.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(+.f64 x (+.f64 1 (log.f64 (neg.f64 y)))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) |
(-.f64 1 (fma.f64 y (*.f64 y 1/2) y)) |
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
(+.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 -1 (+.f64 y 1)) y))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (log.f64 (/.f64 -1 y))) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(log.f64 (/.f64 (*.f64 (E.f64) y) x)) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(log.f64 (/.f64 (*.f64 (E.f64) y) x)) |
10 calls:
| 160.0ms | x |
| 104.0ms | y |
| 68.0ms | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 67.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 60.0ms | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| Error | Segments | Branch |
|---|---|---|
| 15.4b | 2 | x |
| 0.1b | 3 | y |
| 0.1b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.1b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.1b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.1b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.1b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.1b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.1b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 0.1b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
Compiled 349 to 249 computations (28.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 1.9630898604662304 | 1.3312833212542473e+44 |
| 39.0ms | -4391528646281.667 | -4025967.091330404 |
Compiled 307 to 238 computations (22.5% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 x) |
(/.f64 -1 y) |
(-.f64 1 y) |
(+.f64 (/.f64 1 y) 1) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
(+.f64 (log.f64 y) 1) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 1 (log.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(+.f64 x (+.f64 1 (log.f64 (neg.f64 y)))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) |
(-.f64 1 (fma.f64 y (*.f64 y 1/2) y)) |
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
(+.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 -1 (+.f64 y 1)) y))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (log.f64 (/.f64 -1 y))) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| Outputs |
|---|
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) |
10 calls:
| 56.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 53.0ms | x |
| 47.0ms | y |
| 40.0ms | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 35.0ms | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| Error | Segments | Branch |
|---|---|---|
| 15.4b | 2 | x |
| 0.1b | 3 | y |
| 0.1b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.1b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.1b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.1b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.1b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.1b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.1b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 0.1b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
Compiled 343 to 245 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999054143339212 | 0.999999995777957 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 x) |
(/.f64 -1 y) |
(-.f64 1 y) |
(+.f64 (/.f64 1 y) 1) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
(+.f64 (log.f64 y) 1) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 1 (log.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(+.f64 x (+.f64 1 (log.f64 (neg.f64 y)))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) |
(-.f64 1 (fma.f64 y (*.f64 y 1/2) y)) |
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
(+.f64 (-.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) 1) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 -1 (+.f64 y 1)) y))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) |
2 calls:
| 79.0ms | y |
| 53.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.4b | 2 | x |
| 0.9b | 3 | y |
Compiled 162 to 115 computations (29% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 445.0ms | 7.162048333912149e-10 | 1.9630898604662304 |
| 32.0ms | -77.88234059117113 | -0.24503909493058904 |
Compiled 229 to 185 computations (19.2% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 x) |
(/.f64 -1 y) |
(-.f64 1 y) |
(+.f64 (/.f64 1 y) 1) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
(+.f64 (log.f64 y) 1) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 1 (log.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(+.f64 x (+.f64 1 (log.f64 (neg.f64 y)))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| Outputs |
|---|
(+.f64 1 (log.f64 (neg.f64 y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
2 calls:
| 68.0ms | x |
| 62.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 22.3b | 2 | x |
| 10.9b | 3 | y |
Compiled 100 to 70 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 390.0ms | 7.162048333912149e-10 | 1.9630898604662304 |
| 309.0ms | -10571.42647281115 | -77.88234059117113 |
Compiled 316 to 255 computations (19.3% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 x) |
(/.f64 -1 y) |
(-.f64 1 y) |
(+.f64 (/.f64 1 y) 1) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
(+.f64 (log.f64 y) 1) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 1 (log.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(+.f64 x (+.f64 1 (log.f64 (neg.f64 y)))) |
| Outputs |
|---|
(+.f64 1 (log.f64 (neg.f64 y))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
2 calls:
| 99.0ms | y |
| 71.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.3b | 2 | x |
| 11.4b | 3 | y |
Compiled 93 to 67 computations (28% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 164.0ms | 1.1798682233530724e-19 | 8.451547322209092e-18 |
| 128.0ms | -10571.42647281115 | -77.88234059117113 |
Compiled 250 to 211 computations (15.6% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 x) |
(/.f64 -1 y) |
(-.f64 1 y) |
(+.f64 (/.f64 1 y) 1) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
(+.f64 (log.f64 y) 1) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 1 (log.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
| Outputs |
|---|
(+.f64 1 (log.f64 (neg.f64 y))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
2 calls:
| 24.0ms | x |
| 17.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 24.8b | 1 | x |
| 13.9b | 2 | y |
Compiled 80 to 60 computations (25% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 600.0ms | -10571.42647281115 | -77.88234059117113 |
Compiled 131 to 113 computations (13.7% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 x) |
(/.f64 -1 y) |
(-.f64 1 y) |
(+.f64 (/.f64 1 y) 1) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
(+.f64 (log.f64 y) 1) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 1 (log.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
| Outputs |
|---|
(+.f64 1 (log.f64 (neg.f64 y))) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
2 calls:
| 32.0ms | x |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 35.3b | 4 | x |
| 26.0b | 2 | y |
Compiled 64 to 49 computations (23.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 192.0ms | -10571.42647281115 | -77.88234059117113 |
Compiled 215 to 169 computations (21.4% saved)
| Inputs |
|---|
1 |
1 |
(+.f64 1 x) |
(/.f64 -1 y) |
(-.f64 1 y) |
(+.f64 (/.f64 1 y) 1) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y) |
(+.f64 (log.f64 y) 1) |
(-.f64 1 (log1p.f64 -1)) |
| Outputs |
|---|
(+.f64 1 x) |
2 calls:
| 7.0ms | x |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 37.7b | 1 | x |
| 37.7b | 1 | y |
Compiled 54 to 41 computations (24.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
1 |
1 |
| Outputs |
|---|
1 |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 37.7b | 1 | x |
| 37.7b | 1 | y |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 25× | +-commutative_binary64 |
| 21× | sub-neg_binary64 |
| 11× | *-commutative_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 331 |
| 1 | 102 | 331 |
| 2 | 135 | 331 |
| 3 | 156 | 331 |
| 4 | 165 | 331 |
| 5 | 166 | 331 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y -10000000000) (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) (if (<=.f64 y 4458563631096791/2251799813685248) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (/.f64 (*.f64 (E.f64) y) x)))) |
(if (<=.f64 y -10000000000) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 4458563631096791/2251799813685248) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (/.f64 (*.f64 (E.f64) y) x)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9006748894778255/9007199254740992) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))) |
(if (<=.f64 y -1) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 870426590122533/1208925819614629174706176) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))) |
(if (<=.f64 y -80) (+.f64 1 (log.f64 (neg.f64 y))) (if (<=.f64 y 870426590122533/1208925819614629174706176) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -80) (+.f64 1 (log.f64 (neg.f64 y))) (if (<=.f64 y 4984604984193435/41538374868278621028243970633760768) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -80) (+.f64 1 (log.f64 (neg.f64 y))) (-.f64 1 (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 y -10500) (+.f64 1 (log.f64 (neg.f64 y))) (-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y)) |
(+.f64 1 x) |
1 |
| Outputs |
|---|
(if (<=.f64 y -10000000000) (log.f64 (/.f64 (*.f64 (E.f64) y) (-.f64 x 1))) (if (<=.f64 y 4458563631096791/2251799813685248) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (/.f64 (*.f64 (E.f64) y) x)))) |
(if (<=.f64 y -10000000000) (log.f64 (/.f64 (*.f64 y (E.f64)) (+.f64 x -1))) (if (<=.f64 y 4458563631096791/2251799813685248) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (/.f64 (*.f64 y (E.f64)) x)))) |
(if (<=.f64 y -10000000000) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 4458563631096791/2251799813685248) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (/.f64 (*.f64 (E.f64) y) x)))) |
(if (<=.f64 y -10000000000) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 4458563631096791/2251799813685248) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (/.f64 (*.f64 y (E.f64)) x)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9006748894778255/9007199254740992) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y)))) |
(if (<=.f64 y -1) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))) (if (<=.f64 y 870426590122533/1208925819614629174706176) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 x -1) y))))) |
(if (<=.f64 y -80) (+.f64 1 (log.f64 (neg.f64 y))) (if (<=.f64 y 870426590122533/1208925819614629174706176) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -80) (+.f64 1 (log.f64 (neg.f64 y))) (if (<=.f64 y 4984604984193435/41538374868278621028243970633760768) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -80) (+.f64 1 (log.f64 (neg.f64 y))) (-.f64 1 (log1p.f64 (neg.f64 x)))) |
(if (<=.f64 y -10500) (+.f64 1 (log.f64 (neg.f64 y))) (-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) y)) |
(if (<=.f64 y -10500) (+.f64 1 (log.f64 (neg.f64 y))) (-.f64 (-.f64 1 (/.f64 (/.f64 x (+.f64 y -1)) (-.f64 1 (/.f64 y (+.f64 y -1))))) y)) |
(+.f64 1 x) |
(+.f64 x 1) |
1 |
Compiled 237 to 176 computations (25.7% saved)
| 3× | egg-herbie |
| 1264× | fma-neg_binary64 |
| 1264× | fma-neg_binary64 |
| 1264× | fma-neg_binary64 |
| 1110× | fma-def_binary64 |
| 1110× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 22 | 17 |
| 2 | 40 | 17 |
| 3 | 86 | 15 |
| 4 | 203 | 15 |
| 5 | 439 | 15 |
| 6 | 1018 | 15 |
| 7 | 2609 | 15 |
| 8 | 4367 | 15 |
| 9 | 5114 | 15 |
| 10 | 5689 | 15 |
| 11 | 6635 | 15 |
| 0 | 10 | 18 |
| 1 | 22 | 17 |
| 2 | 40 | 17 |
| 3 | 86 | 15 |
| 4 | 203 | 15 |
| 5 | 439 | 15 |
| 6 | 1018 | 15 |
| 7 | 2609 | 15 |
| 8 | 4367 | 15 |
| 9 | 5114 | 15 |
| 10 | 5689 | 15 |
| 11 | 6635 | 15 |
| 0 | 10 | 18 |
| 1 | 22 | 17 |
| 2 | 40 | 17 |
| 3 | 86 | 15 |
| 4 | 203 | 15 |
| 5 | 439 | 15 |
| 6 | 1018 | 15 |
| 7 | 2609 | 15 |
| 8 | 4367 | 15 |
| 9 | 5114 | 15 |
| 10 | 5689 | 15 |
| 11 | 6635 | 15 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 633 to 498 computations (21.3% saved)
Compiled 219 to 137 computations (37.4% saved)
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