Time bar (total: 7.1s)
| 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)
| 932.0ms | 6420× | body | 256 | valid |
| 367.0ms | 1047× | body | 1024 | valid |
| 213.0ms | 1849× | body | 256 | invalid |
| 167.0ms | 710× | body | 512 | valid |
| 164.0ms | 529× | body | 1024 | invalid |
| 75.0ms | 344× | body | 512 | invalid |
| 39.0ms | 79× | body | 2048 | valid |
| 2× | egg-herbie |
| 1792× | fma-neg_binary64 |
| 708× | div-sub_binary64 |
| 504× | times-frac_binary64 |
| 491× | 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 | 352 | 30 |
| 5 | 807 | 30 |
| 6 | 2207 | 30 |
| 7 | 5404 | 30 |
| 8 | 6037 | 30 |
| 9 | 6351 | 30 |
| 10 | 6838 | 30 |
| 11 | 7104 | 30 |
| 12 | 7369 | 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 |
| 1112× | fma-def_binary64 |
| 474× | cancel-sign-sub-inv_binary64 |
| 384× | 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 | 196 | 15 |
| 5 | 431 | 15 |
| 6 | 1016 | 15 |
| 7 | 2510 | 15 |
| 8 | 4117 | 15 |
| 9 | 4867 | 15 |
| 10 | 5441 | 15 |
| 11 | 6355 | 15 |
| 12 | 7936 | 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 |
|---|---|---|
| ▶ | 15.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
Compiled 12 to 9 computations (25% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.8b | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) | |
| 0.0b | (/.f64 (-.f64 x y) (+.f64 y -1)) | |
| 0.0b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) | |
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (+.f64 y -1)) |
| ✓ | 1.8b | (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))) |
| 2.0ms | 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 | y | @ | inf | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | x | @ | -inf | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1× | batch-egg-rewrite |
| 544× | 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 | 3248 | 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 |
|---|
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((#(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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-1)))))))) |
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| 1× | egg-herbie |
| 587× | associate-/r*_binary64 |
| 557× | associate-/l*_binary64 |
| 452× | distribute-rgt-in_binary64 |
| 401× | distribute-lft-in_binary64 |
| 313× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 2996 |
| 1 | 810 | 2479 |
| 2 | 3218 | 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 x (*.f64 (+.f64 y -1) (+.f64 1 (neg.f64 (/.f64 y (+.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 x (*.f64 (+.f64 y -1) (+.f64 1 (neg.f64 (/.f64 y (+.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 (/.f64 y (+.f64 -1 y))) 2)) (/.f64 x (pow.f64 (+.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 x (*.f64 (+.f64 y -1) (+.f64 1 (neg.f64 (/.f64 y (+.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 (/.f64 y (+.f64 -1 y))) 2)) (/.f64 x (pow.f64 (+.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 (/.f64 y (+.f64 -1 y))) 2)) (/.f64 x (pow.f64 (+.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 (-.f64 1 (/.f64 y (+.f64 -1 y))) 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 (-.f64 1 (/.f64 y (+.f64 -1 y))) 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 y) 2) (*.f64 x x)) (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (-.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 (-.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.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))) (+.f64 (log.f64 x) (-.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)))))) |
(+.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y)))) (*.f64 (/.f64 1/3 (pow.f64 (/.f64 x (+.f64 -1 y)) 3)) (pow.f64 (-.f64 1 (/.f64 y (+.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) |
(neg.f64 x) |
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(fma.f64 y (-.f64 1 x) (neg.f64 x)) |
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(-.f64 (*.f64 (-.f64 1 x) (+.f64 y (*.f64 y y))) 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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(-.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) 1) |
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-1 |
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) 1) |
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) -1) |
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(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))) (+.f64 (/.f64 1 y) 1)) |
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(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 y) (/.f64 -1 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 (-.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) (/.f64 1/2 (*.f64 y y))) |
(+.f64 1 (-.f64 (/.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 (+.f64 (/.f64 -1/2 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) (-.f64 (log.f64 y) (+.f64 (log.f64 (+.f64 -1 x)) (/.f64 1/3 (pow.f64 y 3))))) |
(-.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 1 (+.f64 (log1p.f64 (neg.f64 x)) (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 1 (-.f64 (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 1 (+.f64 (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 |
|---|---|---|
| ▶ | 36.6b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 35.3b | (pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3) | |
| ✓ | 15.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ▶ | 15.0b | (-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) |
| 44.5b | (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) | |
| 21.4b | (-.f64 1 (log1p.f64 (neg.f64 x))) | |
| 35.6b | (-.f64 1 (+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))))) | |
| 35.3b | (-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))) | |
| ▶ | 64.0b | (-.f64 1 (log1p.f64 -1)) |
| 35.4b | (-.f64 1 (log1p.f64 (log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) | |
| ▶ | 59.1b | (+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x)))) |
| ▶ | 45.2b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) |
| 22.7b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) | |
| 45.6b | (+.f64 1 (-.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) | |
| 15.9b | (log.f64 (/.f64 (E.f64) (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) | |
| 15.6b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
Compiled 440 to 349 computations (20.7% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 -1 y)) | |
| 0.0b | (log1p.f64 (/.f64 x (+.f64 -1 y))) | |
| 0.0b | (-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) | |
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) |
| ✓ | 0.0b | (log1p.f64 (/.f64 x (+.f64 -1 y))) |
| ✓ | 0.0b | (/.f64 x (+.f64 -1 y)) |
Compiled 28 to 19 computations (32.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/.f64 x (+.f64 -1 y)) |
| 1.0ms | y | @ | inf | (log1p.f64 (/.f64 x (+.f64 -1 y))) |
| 1.0ms | y | @ | 0 | (log1p.f64 (/.f64 x (+.f64 -1 y))) |
| 1.0ms | x | @ | 0 | (log1p.f64 (/.f64 x (+.f64 -1 y))) |
| 1.0ms | y | @ | -inf | (log1p.f64 (/.f64 x (+.f64 -1 y))) |
| 1× | batch-egg-rewrite |
| 598× | unpow-prod-down_binary64 |
| 432× | log-prod_binary64 |
| 395× | prod-diff_binary64 |
| 251× | pow2_binary64 |
| 236× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 191 | 28 |
| 2 | 2510 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 -1 y)) |
(log1p.f64 (/.f64 x (+.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 -1 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 -1 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (+.f64 -1 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) (sqrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (pow.f64 (/.f64 1 (fma.f64 -1 y 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 y)) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 y)) -2) (/.f64 x (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1 y) -1/2) (/.f64 x (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 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(/.f64 x (+.f64 -1 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))) (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 -1 y)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))) (sqrt.f64 (log1p.f64 (/.f64 x (+.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 -1 y)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 -1 y)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 -1 y)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))))))))) |
| 1× | egg-herbie |
| 512× | associate-*r*_binary64 |
| 498× | associate-*l*_binary64 |
| 444× | times-frac_binary64 |
| 364× | associate--l+_binary64 |
| 364× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 2061 |
| 1 | 693 | 1913 |
| 2 | 2506 | 1822 |
| 1× | node limit |
| Inputs |
|---|
(/.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)))) |
(/.f64 x (-.f64 y 1)) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))))) |
(+.f64 (/.f64 x (-.f64 y 1)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 y 1) 4)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))) (log.f64 (/.f64 1 (-.f64 y 1)))))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))) (log.f64 (/.f64 1 (-.f64 y 1))))))) (/.f64 1 x)) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2)))))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))))))) (/.f64 1 x)) |
(log.f64 (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (*.f64 -6 (/.f64 x (+.f64 1 (*.f64 -1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))))) |
(/.f64 x y) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 1/24 (/.f64 (+.f64 (*.f64 24 (pow.f64 x 3)) (+.f64 (*.f64 24 x) (+.f64 (*.f64 -6 (pow.f64 x 4)) (+.f64 (*.f64 -24 (pow.f64 x 2)) (*.f64 -12 (pow.f64 x 2)))))) (pow.f64 y 4)))))) |
(/.f64 x y) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (/.f64 x y))) |
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (/.f64 x y) (*.f64 1/24 (/.f64 (+.f64 (*.f64 24 (pow.f64 x 3)) (+.f64 (*.f64 24 x) (+.f64 (*.f64 -6 (pow.f64 x 4)) (+.f64 (*.f64 -24 (pow.f64 x 2)) (*.f64 -12 (pow.f64 x 2)))))) (pow.f64 y 4)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (+.f64 1 (*.f64 -1 (/.f64 x (-.f64 y 1))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (*.f64 -1 (/.f64 x (-.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 x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))))) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 y x) (+.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 (*.f64 -1 (/.f64 (-.f64 y 1) x)) 1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 1 (*.f64 1/2 (/.f64 (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 -1 (/.f64 (-.f64 y 1) x)) (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (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 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (*.f64 -6 (/.f64 x (+.f64 1 (*.f64 -1 x)))))))) (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)))))) |
| Outputs |
|---|
(/.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))) |
(*.f64 -1 (+.f64 x (*.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 (+.f64 (*.f64 y y) y))) x) |
(-.f64 (*.f64 (*.f64 x y) (-.f64 -1 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))))) |
(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 (+.f64 (*.f64 y y) y))) x) (*.f64 x (pow.f64 y 3))) |
(-.f64 (*.f64 x (+.f64 (neg.f64 (pow.f64 y 3)) (*.f64 y (-.f64 -1 y)))) x) |
(/.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 (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 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 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(+.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 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
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(log.f64 (+.f64 1 (*.f64 -1 x))) |
(log1p.f64 (neg.f64 x)) |
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(/.f64 x y) |
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1 |
(+.f64 1 (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 1 (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 1 (/.f64 x (+.f64 y -1))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (+.f64 1 (*.f64 -1 (/.f64 x (-.f64 y 1))))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)) (+.f64 1 (/.f64 (neg.f64 x) (+.f64 y -1)))) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)) 1/2 (-.f64 1 (/.f64 x (+.f64 y -1)))) |
(fma.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 y -1) 2) x)) 1/2 (-.f64 1 (/.f64 x (+.f64 y -1)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (*.f64 -1 (/.f64 x (-.f64 y 1)))))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)) (+.f64 1 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3)) (/.f64 (neg.f64 x) (+.f64 y -1))))) |
(+.f64 (-.f64 (/.f64 -1/3 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3))) (/.f64 x (+.f64 y -1))) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)) 1/2 1)) |
(+.f64 (fma.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 y -1) 2) x)) 1/2 (-.f64 1 (/.f64 x (+.f64 y -1)))) (/.f64 -1/3 (pow.f64 (/.f64 (+.f64 y -1) x) 3))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 1 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1))))) |
(-.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 y -1)))) |
(+.f64 (-.f64 1 (log.f64 x)) (log.f64 (+.f64 y -1))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 y x))) |
(+.f64 1 (-.f64 (/.f64 1 x) (-.f64 (+.f64 (log.f64 x) (/.f64 y x)) (log.f64 (+.f64 y -1))))) |
(+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 1 x) (/.f64 y x)) (log.f64 x)) (log.f64 (+.f64 y -1)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))))) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 y x)))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2 (/.f64 1 x)) (-.f64 1 (-.f64 (+.f64 (log.f64 x) (/.f64 y x)) (log.f64 (+.f64 y -1))))) |
(+.f64 1 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2 (/.f64 1 x)) (+.f64 (log.f64 x) (-.f64 (/.f64 y x) (log.f64 (+.f64 y -1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(+.f64 1 (-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2))) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 y x)))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3)) -1/3 (fma.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2 (/.f64 1 x))) (-.f64 1 (-.f64 (+.f64 (log.f64 x) (/.f64 y x)) (log.f64 (+.f64 y -1))))) |
(+.f64 (+.f64 1 (fma.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2 (/.f64 1 x))) (fma.f64 (pow.f64 (/.f64 (+.f64 y -1) x) 3) -1/3 (-.f64 (-.f64 (log.f64 (+.f64 y -1)) (log.f64 x)) (/.f64 y x)))) |
(-.f64 1 (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))) |
(-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 (+.f64 y -1))) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) 1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 y -1) x) 1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) |
(-.f64 (-.f64 1 (/.f64 (+.f64 y -1) x)) (-.f64 (log.f64 (/.f64 -1 (+.f64 y -1))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (-.f64 (-.f64 1 (/.f64 (+.f64 y -1) x)) (log.f64 (/.f64 -1 (+.f64 y -1)))) (log.f64 (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 1 (*.f64 1/2 (/.f64 (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 (fma.f64 -1 (/.f64 (+.f64 y -1) x) 1) (*.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2 1) (/.f64 (+.f64 y -1) x)) (-.f64 (log.f64 (/.f64 -1 (+.f64 y -1))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2 1) (/.f64 (+.f64 y -1) x)) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (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 (fma.f64 -1 (/.f64 (+.f64 y -1) x) 1) (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 y -1) x)) (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3)) -1/3 (*.f64 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) 1/2)) (-.f64 (log.f64 (/.f64 -1 (+.f64 y -1))) (log.f64 (/.f64 -1 x))))) |
(-.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 y -1) x) 3) -1/3 (*.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (+.f64 y -1) 2))) (+.f64 1 (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 (+.f64 y -1)))) (/.f64 (+.f64 y -1) x)) |
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 (neg.f64 x)) x)) (log1p.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 y (-.f64 1 x)) x) (-.f64 1 (log1p.f64 (neg.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (-.f64 1 x)) x) (log1p.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (fma.f64 -2 (/.f64 x (+.f64 1 (neg.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 1 (neg.f64 x)) 2)))) (+.f64 1 (/.f64 y (/.f64 (+.f64 1 (neg.f64 x)) x)))) (log1p.f64 (neg.f64 x))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (fma.f64 -2 (/.f64 x (-.f64 1 x)) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))))) (+.f64 (*.f64 (/.f64 y (-.f64 1 x)) x) (-.f64 1 (log1p.f64 (neg.f64 x))))) |
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 (/.f64 x (-.f64 1 x)) (-.f64 -2 (/.f64 x (-.f64 1 x)))))) (+.f64 1 (*.f64 (/.f64 y (-.f64 1 x)) x))) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (*.f64 -6 (/.f64 x (+.f64 1 (*.f64 -1 x)))))))) (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (fma.f64 -2 (/.f64 x (+.f64 1 (neg.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 1 (neg.f64 x)) 2)))) (+.f64 1 (fma.f64 -1/6 (*.f64 (pow.f64 y 3) (fma.f64 -6 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (neg.f64 x)) 2)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (neg.f64 x)) 3)) (*.f64 (/.f64 x (+.f64 1 (neg.f64 x))) -6)))) (/.f64 y (/.f64 (+.f64 1 (neg.f64 x)) x))))) (log1p.f64 (neg.f64 x))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (fma.f64 -2 (/.f64 x (-.f64 1 x)) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))))) (+.f64 (fma.f64 (*.f64 (pow.f64 y 3) (fma.f64 (/.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) x)) -6 (fma.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 -6 (/.f64 (-.f64 1 x) x))))) -1/6 (*.f64 (/.f64 y (-.f64 1 x)) x)) (-.f64 1 (log1p.f64 (neg.f64 x))))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 y 3) (fma.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 1 x) 2)) x) -6 (fma.f64 -2 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (/.f64 x (-.f64 -1/6 (/.f64 x -6)))))) -1/6 (*.f64 (/.f64 y (-.f64 1 x)) x)) (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 (/.f64 x (-.f64 1 x)) (-.f64 -2 (/.f64 x (-.f64 1 x)))))) 1) (log1p.f64 (neg.f64 x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 -1 (/.f64 x y) (*.f64 -1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y))))) |
(+.f64 1 (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))) (/.f64 x y))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 -1/2 (*.f64 y y)) (*.f64 x (-.f64 2 x))) (/.f64 x y))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 6 x (*.f64 (*.f64 x x) -6))) (pow.f64 y 3)) (fma.f64 -1 (/.f64 x y) (*.f64 -1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)))))) |
(+.f64 1 (fma.f64 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 (*.f64 x x) -6 (*.f64 x 6))) (pow.f64 y 3)) -1/6 (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))) (/.f64 x y)))) |
(+.f64 1 (fma.f64 (/.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x (+.f64 6 (*.f64 x -6)))) (pow.f64 y 3)) -1/6 (-.f64 (*.f64 (/.f64 -1/2 (*.f64 y y)) (*.f64 x (-.f64 2 x))) (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 -1 (/.f64 x y) (*.f64 -1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y))))) |
(+.f64 1 (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))) (/.f64 x y))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 -1/2 (*.f64 y y)) (*.f64 x (-.f64 2 x))) (/.f64 x y))) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 6 (*.f64 x x) (fma.f64 -6 x (*.f64 (pow.f64 x 3) -2))) (pow.f64 y 3)) (fma.f64 -1 (/.f64 x y) (*.f64 -1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)))))) |
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 (*.f64 x x) 6 (fma.f64 x -6 (*.f64 (pow.f64 x 3) -2))) (pow.f64 y 3)) (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))) (/.f64 x y)))) |
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 (*.f64 x x) 6 (fma.f64 (pow.f64 x 3) -2 (*.f64 x -6))) (pow.f64 y 3)) (-.f64 (*.f64 (/.f64 -1/2 (*.f64 y y)) (*.f64 x (-.f64 2 x))) (/.f64 x y)))) |
Compiled 10 to 10 computations (0% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.2b | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) | |
| 0.0b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) | |
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| ✓ | 3.2b | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
Compiled 32 to 20 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (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 | (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 | 25 |
| 1 | 195 | 21 |
| 2 | 2775 | 21 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.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 exp.f64 (log.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))))))) (#(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 +.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 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y 1)))))))))) |
| 1× | egg-herbie |
| 760× | sub-neg_binary64 |
| 695× | fma-def_binary64 |
| 384× | distribute-neg-in_binary64 |
| 350× | associate-+l-_binary64 |
| 296× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 456 |
| 1 | 179 | 384 |
| 2 | 512 | 381 |
| 3 | 1864 | 369 |
| 4 | 5922 | 369 |
| 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)))))) |
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 y (fma.f64 y 1/2 1)) |
(+.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 y (*.f64 y 1/2) (fma.f64 1/3 (pow.f64 y 3) y)) |
(fma.f64 y (*.f64 y (fma.f64 y 1/3 1/2)) 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 y (*.f64 y 1/2) (fma.f64 1/4 (pow.f64 y 4) y))) |
(fma.f64 (*.f64 y y) (fma.f64 y 1/3 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 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 (*.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 1/2 (*.f64 y y)) (+.f64 (/.f64 1 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 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 y 3)))))) |
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 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))))) |
(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 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 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 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1 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 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 y 3)))))) |
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 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))))) |
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)) |
(fma.f64 y (*.f64 y -1/2) (-.f64 1 y)) |
(fma.f64 y (fma.f64 y -1/2 -1) 1) |
(+.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 (fma.f64 (pow.f64 y 3) -1/3 (neg.f64 y)))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)) |
(-.f64 (fma.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2) 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 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 (*.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 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y))))) |
(-.f64 1 (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y 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 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 y 3))))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))) |
(+.f64 1 (-.f64 (-.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (-.f64 1 (+.f64 (/.f64 (/.f64 1/2 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 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 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y))))) |
(-.f64 1 (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y 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))))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 -1) (/.f64 1/3 (pow.f64 y 3))))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))) |
(+.f64 1 (-.f64 (-.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (-.f64 1 (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))) | |
| ✓ | 0.1b | (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))) |
Compiled 31 to 20 computations (35.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | y | @ | 0 | (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))) |
| 13.0ms | y | @ | -inf | (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))) |
| 7.0ms | y | @ | inf | (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))) |
| 1.0ms | x | @ | 0 | (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))) |
| 0.0ms | x | @ | inf | (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))) |
| 1× | batch-egg-rewrite |
| 956× | pow1_binary64 |
| 887× | add-log-exp_binary64 |
| 887× | log1p-expm1-u_binary64 |
| 887× | expm1-log1p-u_binary64 |
| 871× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 171 | 9 |
| 2 | 2309 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 y) (log.f64 (+.f64 -1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 y) (neg.f64 (log.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 y) (*.f64 (neg.f64 (log.f64 (+.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 y (+.f64 -1 x))) (fma.f64 (neg.f64 (log.f64 (+.f64 -1 x))) 1 (log.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 y (+.f64 -1 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 x))) 2) (log.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 y (+.f64 -1 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 -1 x)))) (sqrt.f64 (log.f64 (+.f64 -1 x))) (log.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (+.f64 -1 x))) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 y (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 y (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 y (+.f64 -1 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (+.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (+.f64 -1 x)))) 2) (cbrt.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 y (+.f64 -1 x)))) (sqrt.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (log.f64 (+.f64 -1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (*.f64 y (+.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log.f64 (+.f64 -1 x)) 2)) (/.f64 1 (log.f64 (*.f64 y (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 (+.f64 -1 x)))) (-.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (*.f64 y (+.f64 -1 x))))) (-.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (log.f64 (+.f64 -1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (*.f64 y (+.f64 -1 x))) (-.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log.f64 (+.f64 -1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (log.f64 (+.f64 -1 x)) 3)) (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (*.f64 y (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log.f64 (+.f64 -1 x)) 2)) (log.f64 (*.f64 y (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (log.f64 (+.f64 -1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 (log.f64 (+.f64 -1 x)) (log.f64 (*.f64 y (+.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log.f64 (+.f64 -1 x)) 2))) (neg.f64 (log.f64 (*.f64 y (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (neg.f64 (log.f64 (+.f64 -1 x))) 3)) (+.f64 (pow.f64 (log.f64 y) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (+.f64 -1 x))) (neg.f64 (log.f64 (+.f64 -1 x)))) (*.f64 (log.f64 y) (neg.f64 (log.f64 (+.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 y) 2) (*.f64 (neg.f64 (log.f64 (+.f64 -1 x))) (neg.f64 (log.f64 (+.f64 -1 x))))) (-.f64 (log.f64 y) (neg.f64 (log.f64 (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 y (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 y (+.f64 -1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 y (+.f64 -1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 y (+.f64 -1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 y (+.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 y (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 y (+.f64 -1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 y) (neg.f64 (log.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (log.f64 y)) (neg.f64 (log.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 y)) (neg.f64 (log.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 y (+.f64 -1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 y (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 y (+.f64 -1 x))))))))) |
| 1× | egg-herbie |
| 856× | fma-def_binary64 |
| 485× | associate-*l*_binary64 |
| 435× | associate-+l-_binary64 |
| 358× | associate--l+_binary64 |
| 305× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 380 |
| 1 | 176 | 348 |
| 2 | 465 | 342 |
| 3 | 1736 | 339 |
| 4 | 5022 | 339 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 y) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (-.f64 x 1))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 x 1))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 x 1))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 x 1))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 x 1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (log.f64 (-.f64 x 1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (log.f64 (-.f64 x 1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (log.f64 (-.f64 x 1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 -1)) |
(-.f64 (+.f64 (log.f64 y) x) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 y) x)) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 y) x))) (log.f64 -1)) |
(-.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 1 x) (log.f64 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(-.f64 (+.f64 (/.f64 1 x) (log.f64 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
| Outputs |
|---|
(-.f64 (log.f64 y) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (log.f64 y) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (log.f64 y) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (log.f64 y) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (log.f64 (-.f64 x 1))) |
(-.f64 (log.f64 y) (log.f64 (+.f64 x -1))) |
(-.f64 (log.f64 y) (log.f64 -1)) |
(-.f64 (+.f64 (log.f64 y) x) (log.f64 -1)) |
(+.f64 (log.f64 y) (-.f64 x (log.f64 -1))) |
(-.f64 x (log.f64 (/.f64 -1 y))) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 y) x)) (log.f64 -1)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 y) x)) (log.f64 -1)) |
(+.f64 (fma.f64 1/2 (*.f64 x x) (log.f64 y)) (-.f64 x (log.f64 -1))) |
(fma.f64 x (*.f64 x 1/2) (-.f64 x (log.f64 (/.f64 -1 y)))) |
(-.f64 (fma.f64 (fma.f64 x 1/2 1) x (log.f64 y)) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 y) x))) (log.f64 -1)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (+.f64 (log.f64 y) x))) (log.f64 -1)) |
(-.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x (fma.f64 1/3 (pow.f64 x 3) (log.f64 y)))) (log.f64 -1)) |
(fma.f64 x (*.f64 x 1/2) (fma.f64 1/3 (pow.f64 x 3) (-.f64 x (log.f64 (/.f64 -1 y))))) |
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 1/2) (-.f64 x (log.f64 (/.f64 -1 y)))) |
(-.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 y) (log.f64 x)) |
(-.f64 (+.f64 (/.f64 1 x) (log.f64 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (log.f64 x)) |
(+.f64 (log.f64 y) (-.f64 (/.f64 1 x) (log.f64 x))) |
(-.f64 (log.f64 y) (-.f64 (log.f64 x) (/.f64 1 x))) |
(-.f64 (log.f64 y) (+.f64 (log.f64 x) (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))) (neg.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x))) |
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (log.f64 y) (/.f64 1/2 (*.f64 x x))) (log.f64 x))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 (log.f64 y) (-.f64 (log.f64 x) (/.f64 1 x)))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 (log.f64 y) (+.f64 (log.f64 x) (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3))) (neg.f64 (neg.f64 (log.f64 x))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 x)))) |
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x)))) |
(+.f64 (log.f64 y) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (log.f64 x))) |
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (log.f64 x) (log.f64 y)))) |
(-.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(-.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 y) (log.f64 x)) |
(-.f64 (+.f64 (/.f64 1 x) (log.f64 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))) |
(-.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (log.f64 x)) |
(+.f64 (log.f64 y) (-.f64 (/.f64 1 x) (log.f64 x))) |
(-.f64 (log.f64 y) (-.f64 (log.f64 x) (/.f64 1 x))) |
(-.f64 (log.f64 y) (+.f64 (log.f64 x) (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(-.f64 (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))) (neg.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x))) |
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (log.f64 y) (/.f64 1/2 (*.f64 x x))) (log.f64 x))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 (log.f64 y) (-.f64 (log.f64 x) (/.f64 1 x)))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 (log.f64 y) (+.f64 (log.f64 x) (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 y)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3))) (neg.f64 (neg.f64 (log.f64 x))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 x)))) |
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x)))) |
(+.f64 (log.f64 y) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (log.f64 x))) |
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (log.f64 x) (log.f64 y)))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))) | |
| 0.0b | (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)) | |
| 0.0b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) | |
| ✓ | 0.0b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) |
| ✓ | 0.0b | (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)) |
| ✓ | 0.1b | (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))) |
Compiled 54 to 32 computations (40.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))) |
| 3.0ms | y | @ | 0 | (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))) |
| 1.0ms | x | @ | 0 | (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))) |
| 1.0ms | x | @ | inf | (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))) |
| 1.0ms | x | @ | -inf | (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))) |
| 1× | batch-egg-rewrite |
| 545× | fma-def_binary64 |
| 539× | log-prod_binary64 |
| 316× | pow2_binary64 |
| 293× | fma-neg_binary64 |
| 215× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 287 | 44 |
| 2 | 4109 | 41 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))) |
(+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)) |
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 -2) (-.f64 (log.f64 y) (+.f64 (log1p.f64 x) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -1 y) (fma.f64 -1 (log.f64 y) (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1 (log.f64 y) (log1p.f64 x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (-.f64 (fma.f64 -1 (log.f64 y) (/.f64 -1 y)) (log1p.f64 x))) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 y -2)) (-.f64 (fma.f64 -1 (log.f64 y) (/.f64 -1 y)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 -1 y)) (log1p.f64 -2)) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -1 y) (fma.f64 -1 (log.f64 y) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 y) (fma.f64 -1 (log.f64 y) (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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y) (log1p.f64 x))))) (sqrt.f64 (+.f64 (/.f64 -1 y) (fma.f64 -1 (log.f64 y) (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (+.f64 1 (log.f64 y)) (+.f64 (log1p.f64 x) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (log.f64 y) (neg.f64 (+.f64 (log1p.f64 x) (/.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 (log.f64 y) (neg.f64 (+.f64 (log1p.f64 x) (/.f64 -1 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (+.f64 1 (log.f64 y)) (+.f64 (log1p.f64 x) (/.f64 -1 y))))))))) |
| 1× | egg-herbie |
| 709× | fma-neg_binary64 |
| 673× | associate--l+_binary64 |
| 586× | associate--r+_binary64 |
| 368× | sub-neg_binary64 |
| 366× | associate-+l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 1683 |
| 1 | 378 | 1502 |
| 2 | 1300 | 1496 |
| 3 | 5728 | 1479 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))) |
(+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 1 x)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (log.f64 (-.f64 1 x))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (log.f64 (-.f64 1 x))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (log.f64 (-.f64 1 x))))) |
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) (+.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 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y)))) (+.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 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.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 y) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.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 y) |
(+.f64 (/.f64 1 y) (log.f64 (-.f64 1 x))) |
(+.f64 (/.f64 1 y) (log.f64 (-.f64 1 x))) |
(+.f64 (/.f64 1 y) (log.f64 (-.f64 1 x))) |
(log.f64 (-.f64 1 x)) |
(+.f64 (/.f64 1 y) (log.f64 (-.f64 1 x))) |
(+.f64 (/.f64 1 y) (log.f64 (-.f64 1 x))) |
(+.f64 (/.f64 1 y) (log.f64 (-.f64 1 x))) |
(log.f64 (-.f64 1 x)) |
(+.f64 (/.f64 1 y) (log.f64 (-.f64 1 x))) |
(+.f64 (/.f64 1 y) (log.f64 (-.f64 1 x))) |
(+.f64 (/.f64 1 y) (log.f64 (-.f64 1 x))) |
(/.f64 -1 y) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y)))))) |
(-.f64 1 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 1 x))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (log.f64 (-.f64 1 x)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (log.f64 (-.f64 1 x)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (log.f64 (-.f64 1 x)))))) |
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))) |
(-.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 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))) |
(-.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 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (*.f64 -1 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 1 x)))) |
(+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y)))) |
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (log.f64 (-.f64 1 x))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (log.f64 (-.f64 1 x))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (log.f64 (-.f64 1 x))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y)))) |
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 x)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 x))) |
(+.f64 (/.f64 1 y) (-.f64 (log.f64 (/.f64 -1 y)) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x)))) |
(+.f64 (/.f64 1 y) (fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 x)))) |
(+.f64 (/.f64 1 y) (fma.f64 -1/2 (*.f64 x x) (-.f64 (log.f64 (/.f64 -1 y)) x))) |
(+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 x (*.f64 x -1/2) (-.f64 (/.f64 1 y) x))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 1 y) (fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1/2 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))) |
(+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 x (*.f64 x -1/2) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (/.f64 1 y)) x))) |
(+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (-.f64 (/.f64 1 y) x)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 x)))) |
(+.f64 (log.f64 x) (fma.f64 2 (log.f64 -1) (-.f64 (/.f64 1 y) (log.f64 y)))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) (/.f64 1 x)) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (log.f64 (/.f64 -1 y))) (/.f64 1 x))) |
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(-.f64 (+.f64 (fma.f64 x (*.f64 x 1/2) x) (+.f64 1 (/.f64 -1 y))) (log.f64 (/.f64 -1 y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))))) |
(+.f64 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) 1/3 x)) (-.f64 (-.f64 1 (/.f64 1 y)) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (+.f64 (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/3 x)) (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (+.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/3)) (/.f64 -1 y))) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 x))))) |
(+.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 x)))) (/.f64 -1 y)) |
(-.f64 1 (+.f64 (log.f64 x) (fma.f64 2 (log.f64 -1) (-.f64 (/.f64 1 y) (log.f64 y))))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 y) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 x))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 x)))) (/.f64 -1 y))) |
(+.f64 (/.f64 1 x) (-.f64 1 (+.f64 (log.f64 x) (fma.f64 2 (log.f64 -1) (-.f64 (/.f64 1 y) (log.f64 y)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 y) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (log.f64 (/.f64 -1 y)))))) |
(+.f64 1 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 x))))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 x)))) (/.f64 -1 y)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (-.f64 1 (+.f64 (log.f64 x) (fma.f64 2 (log.f64 -1) (-.f64 (/.f64 1 y) (log.f64 y))))))) |
(-.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 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (+.f64 (/.f64 1 y) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (log.f64 (/.f64 -1 y)))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 x))))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 x)))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (fma.f64 2 (log.f64 -1) (-.f64 (/.f64 1 y) (log.f64 y)))))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))))) |
(+.f64 (-.f64 (+.f64 1 (/.f64 -1 y)) (log.f64 (/.f64 -1 y))) (log.f64 (/.f64 -1 x))) |
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))))) |
(+.f64 1 (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 y) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))))) |
(+.f64 (+.f64 (/.f64 1 x) (-.f64 (+.f64 1 (/.f64 -1 y)) (log.f64 (/.f64 -1 y)))) (log.f64 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (/.f64 1 x)) (+.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 1 (/.f64 1 y))) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (-.f64 (+.f64 1 (/.f64 -1 y)) (log.f64 (/.f64 -1 y)))) (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 (/.f64 1 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (+.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (+.f64 (/.f64 1 y) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))))) |
(+.f64 1 (+.f64 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1 y)))) (log.f64 (/.f64 -1 y))) (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)))) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))))) |
Compiled 14715 to 10723 computations (27.1% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 719 | 16 | 735 |
| Fresh | 6 | 4 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 728 | 23 | 751 |
| Status | Error | Program |
|---|---|---|
| 51.0b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x))) | |
| ✓ | 36.6b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| ▶ | 34.2b | (-.f64 1 (/.f64 x (+.f64 y -1))) |
| 52.3b | (-.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 -1 y) (+.f64 x 1)) (exp.f64 (/.f64 -1 y))))) | |
| 35.3b | (pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3) | |
| 61.6b | (/.f64 -1 y) | |
| 35.3b | (-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))) | |
| 50.2b | (-.f64 1 (log.f64 (/.f64 -1 y))) | |
| 40.2b | (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) | |
| 46.8b | (-.f64 1 (/.f64 x y)) | |
| 50.8b | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) | |
| 35.4b | 1 | |
| 60.2b | (-.f64 1 (/.f64 1 y)) | |
| ▶ | 21.4b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| ▶ | 51.3b | (+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))) |
| ▶ | 36.7b | (-.f64 1 y) |
| 27.9b | (-.f64 1 (log1p.f64 (exp.f64 (log.f64 (/.f64 x (+.f64 -1 y)))))) | |
| ✓ | 15.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 15.0b | (-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) |
| 40.7b | (-.f64 1 (log1p.f64 (/.f64 x y))) | |
| 22.7b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) | |
| ▶ | 37.4b | (-.f64 1 (*.f64 y (fma.f64 y 1/2 1))) |
| 45.6b | (+.f64 1 (-.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
Compiled 482 to 383 computations (20.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 1 (log1p.f64 (neg.f64 x))) | |
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
Compiled 14 to 7 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 0.0ms | x | @ | 0 | (-.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 | 1522 | 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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 876× | sub-neg_binary64 |
| 502× | fma-neg_binary64 |
| 461× | associate-*l*_binary64 |
| 437× | fma-def_binary64 |
| 424× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 224 |
| 1 | 140 | 204 |
| 2 | 370 | 204 |
| 3 | 1156 | 199 |
| 4 | 3195 | 199 |
| 5 | 7141 | 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 (fma.f64 1/3 (pow.f64 x 3) x) (fma.f64 x (*.f64 x 1/2) 1)) |
(+.f64 1 (fma.f64 x (*.f64 x (fma.f64 x 1/3 1/2)) x)) |
(+.f64 x (fma.f64 x (*.f64 x (fma.f64 x 1/3 1/2)) 1)) |
(-.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 1 (+.f64 (log.f64 x) (log.f64 -1))) |
(-.f64 (-.f64 1 (log.f64 -1)) (log.f64 x)) |
(-.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 (/.f64 1 x) (-.f64 1 (log.f64 x))) (log.f64 -1)) |
(+.f64 1 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1)))) |
(+.f64 (/.f64 1 x) (-.f64 (-.f64 1 (log.f64 -1)) (log.f64 x))) |
(-.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 1 (-.f64 (+.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 (/.f64 (/.f64 1/2 x) x))) (+.f64 (log.f64 x) (log.f64 -1))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 1 (+.f64 (log.f64 x) (log.f64 -1))))) |
(+.f64 1 (+.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 -1)) (log.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x 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 1 (-.f64 (+.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 (/.f64 1/2 x) x) (+.f64 (log.f64 x) (log.f64 -1))))) |
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 -1)))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 -1)) (log.f64 x)))) |
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (+.f64 -1 (log.f64 -1))))) |
(-.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 (+.f64 1 (/.f64 1 x)) (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 (+.f64 (/.f64 1 x) (+.f64 1 (/.f64 (/.f64 1/2 x) x))) (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 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3)))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3))) (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))) |
(+.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)))) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 y -1)) | |
| ✓ | 0.0b | (/.f64 x (+.f64 y -1)) |
Compiled 21 to 14 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 y -1)) |
| 0.0ms | y | @ | inf | (/.f64 x (+.f64 y -1)) |
| 0.0ms | y | @ | -inf | (/.f64 x (+.f64 y -1)) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 y -1)) |
| 0.0ms | y | @ | 0 | (/.f64 x (+.f64 y -1)) |
| 1× | batch-egg-rewrite |
| 735× | pow1_binary64 |
| 683× | add-log-exp_binary64 |
| 683× | log1p-expm1-u_binary64 |
| 683× | expm1-log1p-u_binary64 |
| 670× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1761 | 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 (/.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 y -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 1 (neg.f64 y))))))) (#(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 -1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 (*.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 1 (neg.f64 y))))))) (#(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 log1p.f64 (expm1.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))) |
| 1× | egg-herbie |
| 547× | fma-def_binary64 |
| 430× | fma-neg_binary64 |
| 387× | distribute-rgt-out--_binary64 |
| 355× | sub-neg_binary64 |
| 268× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 287 |
| 1 | 88 | 275 |
| 2 | 253 | 265 |
| 3 | 847 | 262 |
| 4 | 3633 | 259 |
| 5 | 6651 | 259 |
| 1× | node limit |
| Inputs |
|---|
(/.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 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))) |
(*.f64 -1 (+.f64 x (*.f64 x y))) |
(*.f64 x (+.f64 (neg.f64 y) -1)) |
(*.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))) |
(neg.f64 (fma.f64 y (fma.f64 x y x) 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))))) |
(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 (*.f64 y (*.f64 x (-.f64 -1 y))) (fma.f64 x (pow.f64 y 3) x)) |
(-.f64 (neg.f64 x) (*.f64 y (fma.f64 x (fma.f64 y y y) 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) (/.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 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 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) (/.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 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 3)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 4))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (fma.f64 y 1/2 1)) | |
| ✓ | 0.0b | (*.f64 y (fma.f64 y 1/2 1)) |
Compiled 23 to 17 computations (26.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 y (fma.f64 y 1/2 1)) |
| 1.0ms | y | @ | -inf | (*.f64 y (fma.f64 y 1/2 1)) |
| 1.0ms | y | @ | inf | (*.f64 y (fma.f64 y 1/2 1)) |
| 1× | batch-egg-rewrite |
| 491× | pow1_binary64 |
| 475× | add-sqr-sqrt_binary64 |
| 467× | *-un-lft-identity_binary64 |
| 453× | add-log-exp_binary64 |
| 453× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 114 | 8 |
| 2 | 1214 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (fma.f64 y 1/2 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 1/2) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y 1/2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (fma.f64 y 1/2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (fma.f64 y 1/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 y 1/2 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (fma.f64 y 1/2 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (fma.f64 y 1/2 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (fma.f64 y 1/2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 y 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (fma.f64 y 1/2 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (fma.f64 y 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (fma.f64 y 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (fma.f64 y 1/2 1)))))))) |
| 1× | egg-herbie |
| 859× | fma-def_binary64 |
| 801× | sqr-pow_binary64 |
| 502× | cube-prod_binary64 |
| 483× | associate-*l*_binary64 |
| 482× | fabs-mul_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 105 |
| 1 | 14 | 87 |
| 2 | 26 | 87 |
| 3 | 54 | 87 |
| 4 | 135 | 87 |
| 5 | 411 | 87 |
| 6 | 1560 | 87 |
| 7 | 2963 | 87 |
| 8 | 3325 | 87 |
| 9 | 3556 | 87 |
| 10 | 3795 | 87 |
| 11 | 4139 | 87 |
| 12 | 4561 | 87 |
| 13 | 5090 | 87 |
| 14 | 5668 | 87 |
| 15 | 6394 | 87 |
| 16 | 7233 | 87 |
| 17 | 7631 | 87 |
| 18 | 7923 | 87 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(*.f64 1/2 (pow.f64 y 2)) |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(*.f64 1/2 (pow.f64 y 2)) |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
| 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 y (fma.f64 y 1/2 1)) |
(+.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 y (fma.f64 y 1/2 1)) |
(+.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 y (fma.f64 y 1/2 1)) |
(*.f64 1/2 (pow.f64 y 2)) |
(*.f64 1/2 (*.f64 y y)) |
(*.f64 y (*.f64 y 1/2)) |
(+.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 y (fma.f64 y 1/2 1)) |
(+.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 y (fma.f64 y 1/2 1)) |
(+.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 y (fma.f64 y 1/2 1)) |
(*.f64 1/2 (pow.f64 y 2)) |
(*.f64 1/2 (*.f64 y y)) |
(*.f64 y (*.f64 y 1/2)) |
(+.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 y (fma.f64 y 1/2 1)) |
(+.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 y (fma.f64 y 1/2 1)) |
(+.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 y (fma.f64 y 1/2 1)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 -1/2 (*.f64 y y)) | |
| 0.0b | (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) | |
| 0.0b | (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y))) | |
| 0.0b | (+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))) | |
| ✓ | 0.0b | (+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))) |
| ✓ | 0.0b | (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y))) |
| ✓ | 0.0b | (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
| ✓ | 0.3b | (/.f64 -1/2 (*.f64 y y)) |
Compiled 59 to 39 computations (33.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 -1/2 (*.f64 y y)) |
| 0.0ms | y | @ | inf | (/.f64 -1/2 (*.f64 y y)) |
| 0.0ms | y | @ | 0 | (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y))) |
| 0.0ms | y | @ | 0 | (+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))) |
| 0.0ms | y | @ | 0 | (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
| 1× | batch-egg-rewrite |
| 694× | fma-def_binary64 |
| 577× | log-prod_binary64 |
| 392× | fma-neg_binary64 |
| 259× | log-div_binary64 |
| 235× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 64 |
| 1 | 276 | 60 |
| 2 | 4101 | 60 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 (*.f64 y y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 y -2))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 y -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 y -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 y -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 y 4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/2) y) (/.f64 (sqrt.f64 -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/2) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/8 (pow.f64 (*.f64 y y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1/8 (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 y -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 y -2)))))))) |
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y)))) (*.f64 -1/2 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -1 y)) (sqrt.f64 (log.f64 (/.f64 -1 y)))) (-.f64 (sqrt.f64 (/.f64 -1 y)) (sqrt.f64 (log.f64 (/.f64 -1 y)))) (fma.f64 -1/2 (pow.f64 y -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 (fma.f64 -1/2 (pow.f64 y -2) (/.f64 -1 y)) (log.f64 (/.f64 -1 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (pow.f64 y -2) (/.f64 -1 y)) (log.f64 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (pow.f64 y -2) (/.f64 -1 y)) (log.f64 (/.f64 -1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 (fma.f64 -1/2 (pow.f64 y -2) (/.f64 -1 y)) (log.f64 (/.f64 -1 y))) 1))))))) |
| 1× | egg-herbie |
| 586× | fma-neg_binary64 |
| 552× | fma-def_binary64 |
| 455× | associate-/l*_binary64 |
| 384× | sub-neg_binary64 |
| 319× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 772 |
| 1 | 139 | 627 |
| 2 | 351 | 610 |
| 3 | 894 | 610 |
| 4 | 2429 | 610 |
| 5 | 5082 | 610 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (/.f64 1 y)) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (/.f64 1 y)) |
(*.f64 -1 (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(*.f64 -1 (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(/.f64 -1/2 (pow.f64 y 2)) |
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.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 (*.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)) (log.f64 -1))))) |
(-.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))) (log.f64 (/.f64 -1 y))))) |
| Outputs |
|---|
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(neg.f64 (log.f64 (/.f64 -1 y))) |
(-.f64 (log.f64 y) (log.f64 -1)) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(*.f64 -1 (log.f64 (/.f64 -1 y))) |
(neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(neg.f64 (log.f64 (/.f64 -1 y))) |
(-.f64 (log.f64 y) (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) |
(-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) |
(-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(neg.f64 (log.f64 (/.f64 -1 y))) |
(-.f64 (log.f64 y) (log.f64 -1)) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(*.f64 -1 (log.f64 (/.f64 -1 y))) |
(neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(neg.f64 (log.f64 (/.f64 -1 y))) |
(-.f64 (log.f64 y) (log.f64 -1)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y))) |
(+.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 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(/.f64 -1/2 (pow.f64 y 2)) |
(/.f64 -1/2 (*.f64 y y)) |
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) |
(-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) |
(-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1 y)) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))))) |
(-.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 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y 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 -1) (*.f64 -1 (log.f64 y)))))) |
(-.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 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.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 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 -1 y) (-.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))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))))) |
(-.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 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y 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 1 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y))))) |
(-.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 1 y) (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 -1 y) (-.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 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y 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 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y))))) |
Compiled 9583 to 7448 computations (22.3% saved)
30 alts after pruning (24 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 420 | 11 | 431 |
| Fresh | 2 | 13 | 15 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 5 | 7 |
| Total | 424 | 30 | 454 |
| Status | Error | Program |
|---|---|---|
| ▶ | 51.0b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x))) |
| 46.8b | (-.f64 1 (/.f64 x y)) | |
| ✓ | 36.6b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 52.3b | (-.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 -1 y) (+.f64 x 1)) (exp.f64 (/.f64 -1 y))))) | |
| 35.3b | (pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3) | |
| 61.6b | (/.f64 -1 y) | |
| 51.6b | (+.f64 1 (+.f64 (log.f64 (*.f64 (exp.f64 (/.f64 -1 y)) (*.f64 y -1))) (/.f64 -1/2 (*.f64 y y)))) | |
| 40.7b | (-.f64 1 (log1p.f64 (/.f64 x y))) | |
| 50.2b | (-.f64 1 (log.f64 (/.f64 -1 y))) | |
| 37.4b | (-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) | |
| ▶ | 35.9b | (+.f64 (neg.f64 (log1p.f64 x)) 1) |
| 60.9b | (+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) | |
| ▶ | 37.6b | (-.f64 1 (*.f64 y (*.f64 y 1/2))) |
| 50.8b | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) | |
| 35.4b | 1 | |
| 34.2b | (-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) | |
| 45.6b | (+.f64 1 (-.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) | |
| 60.2b | (-.f64 1 (/.f64 1 y)) | |
| ✓ | 21.4b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| ✓ | 51.3b | (+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))) |
| ✓ | 36.7b | (-.f64 1 y) |
| 27.9b | (-.f64 1 (log1p.f64 (exp.f64 (log.f64 (/.f64 x (+.f64 -1 y)))))) | |
| ✓ | 15.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 15.0b | (-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) |
| 34.2b | (-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) | |
| 35.3b | (-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))) | |
| 40.2b | (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) | |
| 35.6b | (-.f64 1 (*.f64 x (-.f64 -1 y))) | |
| ▶ | 22.7b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ▶ | 34.9b | (+.f64 1 x) |
Compiled 608 to 483 computations (20.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 y (log1p.f64 (neg.f64 x))) | |
| 0.0b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) | |
| ✓ | 0.0b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ✓ | 0.0b | (+.f64 y (log1p.f64 (neg.f64 x))) |
Compiled 22 to 8 computations (63.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| 0.0ms | x | @ | inf | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| 0.0ms | x | @ | inf | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 0.0ms | y | @ | 0 | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 885× | pow1_binary64 |
| 824× | add-log-exp_binary64 |
| 824× | expm1-log1p-u_binary64 |
| 823× | log1p-expm1-u_binary64 |
| 808× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 174 | 15 |
| 2 | 2398 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 y (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 y (log1p.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) (pow.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) 2) (cbrt.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (log1p.f64 x))) (sqrt.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (-.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y))) (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (log1p.f64 x)) (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 y y) (*.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2)) (-.f64 y (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (-.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (log1p.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (+.f64 y (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 y (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 -1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) 2) (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) (sqrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) (pow.f64 (+.f64 y (log1p.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 2)) (/.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) (pow.f64 (+.f64 y (log1p.f64 x)) 2))) (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 y (log1p.f64 x)) 1) (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 3)) (+.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) (pow.f64 (+.f64 y (log1p.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 2)) (+.f64 (+.f64 y (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 3))) (neg.f64 (+.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) (pow.f64 (+.f64 y (log1p.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 2))) (neg.f64 (+.f64 (+.f64 y (log1p.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (*.f64 (-.f64 1 y) (-.f64 1 y)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (-.f64 1 y) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 y (log1p.f64 x))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (+.f64 y (log1p.f64 x))) (neg.f64 (+.f64 y (log1p.f64 x)))) (neg.f64 (+.f64 y (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 y) (-.f64 1 y)) (pow.f64 (log1p.f64 x) 2)) (+.f64 (-.f64 1 y) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (+.f64 y (log1p.f64 x))) (neg.f64 (+.f64 y (log1p.f64 x))))) (-.f64 1 (neg.f64 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (+.f64 y (log1p.f64 x))))))))) |
| 1× | egg-herbie |
| 951× | fma-neg_binary64 |
| 601× | sub-neg_binary64 |
| 414× | unsub-neg_binary64 |
| 352× | associate--l+_binary64 |
| 335× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 695 |
| 1 | 251 | 640 |
| 2 | 805 | 636 |
| 3 | 3107 | 636 |
| 4 | 5806 | 636 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (-.f64 1 x)) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
y |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
y |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
y |
(+.f64 y (*.f64 -1 x)) |
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.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))) y) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.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 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(*.f64 -1 y) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(*.f64 -1 y) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 1 y) |
(-.f64 (+.f64 1 x) y) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) y) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) y) |
(-.f64 1 (+.f64 y (+.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))) (+.f64 y (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))) (+.f64 y (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))) (+.f64 y (log.f64 -1)))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.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))) y)) |
| Outputs |
|---|
(log.f64 (-.f64 1 x)) |
(log1p.f64 (neg.f64 x)) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
y |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
y |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
y |
(+.f64 y (*.f64 -1 x)) |
(+.f64 y (neg.f64 x)) |
(-.f64 y x) |
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 y x)) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) y) x) |
(-.f64 (fma.f64 x (*.f64 x -1/2) y) x) |
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))) |
(fma.f64 x (*.f64 x -1/2) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) y) x)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) y) (fma.f64 (pow.f64 x 3) 1/3 x)) |
(-.f64 y (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/3 x))) |
(+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(+.f64 y (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(+.f64 (log.f64 x) (+.f64 y (log.f64 -1))) |
(+.f64 (log.f64 -1) (+.f64 y (log.f64 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (/.f64 1 x)) |
(+.f64 (log.f64 x) (+.f64 y (-.f64 (log.f64 -1) (/.f64 1 x)))) |
(+.f64 y (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (/.f64 -1 x)))) |
(+.f64 y (+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 y (-.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 y (+.f64 (+.f64 (log.f64 x) (log.f64 -1)) (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x))))) |
(+.f64 (+.f64 y (+.f64 (log.f64 -1) (/.f64 -1 x))) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (-.f64 y (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))))) |
(+.f64 y (-.f64 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))) |
(+.f64 y (+.f64 (log.f64 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 3))))))) |
(+.f64 y (+.f64 (+.f64 (+.f64 (log.f64 x) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (+.f64 (/.f64 -1 x) (/.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) y) |
(-.f64 y (log.f64 (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (/.f64 1 x)) |
(+.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (/.f64 -1 x)) |
(-.f64 y (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (/.f64 1/2 (*.f64 x x))) (/.f64 1 x)) |
(-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 y (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 y (+.f64 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))) (log.f64 (/.f64 -1 x))) (/.f64 -1/3 (pow.f64 x 3)))) |
(-.f64 1 (log.f64 (-.f64 1 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 y) |
(-.f64 (+.f64 1 x) y) |
(+.f64 1 (-.f64 x y)) |
(+.f64 x (-.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) y) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) x) y)) |
(+.f64 1 (-.f64 (fma.f64 (*.f64 x x) 1/2 x) y)) |
(+.f64 x (-.f64 (fma.f64 (*.f64 x x) 1/2 1) y)) |
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (-.f64 x y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) y) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x)) y)) |
(+.f64 1 (-.f64 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) 1/3 x)) y)) |
(+.f64 (-.f64 1 y) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (*.f64 x x) 1/2 x))) |
(+.f64 (fma.f64 (pow.f64 x 3) 1/3 x) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) y)) |
(-.f64 1 (+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))) |
(-.f64 (-.f64 1 y) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(-.f64 (-.f64 (-.f64 1 y) (log.f64 -1)) (log.f64 x)) |
(-.f64 (-.f64 1 (log.f64 -1)) (+.f64 y (log.f64 x))) |
(-.f64 (-.f64 (-.f64 1 (log.f64 -1)) (log.f64 x)) y) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1)))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1)))) |
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (-.f64 1 y) (log.f64 -1)) (log.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 x) (+.f64 (log.f64 -1) (+.f64 y (log.f64 x))))) |
(-.f64 (-.f64 (/.f64 1 x) (+.f64 y (log.f64 -1))) (+.f64 (log.f64 x) -1)) |
(-.f64 (/.f64 1 x) (+.f64 (-.f64 y (-.f64 1 (log.f64 -1))) (log.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (+.f64 y (log.f64 -1)))))) |
(+.f64 (/.f64 1 x) (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 -1) (+.f64 y (log.f64 x))))) |
(+.f64 (/.f64 1 x) (-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 x) (+.f64 y (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))) (+.f64 y (log.f64 -1)))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (+.f64 y (log.f64 -1)))))) |
(+.f64 1 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 1 x) (+.f64 (log.f64 -1) (+.f64 y (log.f64 x))))))) |
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 1 x) (+.f64 y (log.f64 -1))))) (+.f64 (log.f64 x) -1)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y)) |
(-.f64 1 (-.f64 y (log.f64 (/.f64 -1 x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 1 y)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) y)) |
(+.f64 1 (-.f64 (/.f64 1 x) (-.f64 y (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (-.f64 y 1)) |
(+.f64 (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (-.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) y))) |
(-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 1 x))) (-.f64 y (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (-.f64 y 1))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (-.f64 1 y))) |
(-.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))) y)) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) y))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (-.f64 y (log.f64 (/.f64 -1 x))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (-.f64 y 1)))) |
(+.f64 1 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1/2 (*.f64 x x)) y) (log.f64 (/.f64 -1 x)))))) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 20 to 14 computations (30% saved)
Compiled 14 to 7 computations (50% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) | |
| 0.0b | (-.f64 (/.f64 1 y) x) | |
| 0.0b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x))) | |
| ✓ | 0.0b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x))) |
| ✓ | 0.0b | (-.f64 (/.f64 1 y) x) |
| ✓ | 0.0b | (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
Compiled 43 to 30 computations (30.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | 0 | (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
| 0.0ms | y | @ | 0 | (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
| 0.0ms | x | @ | inf | (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
| 0.0ms | y | @ | inf | (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
| 0.0ms | x | @ | -inf | (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
| 1× | batch-egg-rewrite |
| 531× | fma-def_binary64 |
| 502× | log-prod_binary64 |
| 302× | pow2_binary64 |
| 274× | fma-neg_binary64 |
| 205× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 249 | 38 |
| 2 | 3566 | 35 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (/.f64 1 y) x) |
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (-.f64 (log.f64 y) (-.f64 (/.f64 -1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1 (log.f64 y) (/.f64 -1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (+.f64 (fma.f64 -1 (log.f64 y) (/.f64 -1 y)) x)) (/.f64 (pow.f64 (-.f64 (/.f64 -1 y) x) 2) (+.f64 (fma.f64 -1 (log.f64 y) (/.f64 -1 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (/.f64 -1 y) x) (log.f64 -1)) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y))) (+.f64 1 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y)))) 1) (-.f64 1 (pow.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y)))) (-.f64 1 (pow.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 1 (log.f64 y))) (+.f64 1 (expm1.f64 (-.f64 (/.f64 -1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 y) (neg.f64 (-.f64 (/.f64 -1 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 y)) (neg.f64 (-.f64 (/.f64 -1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 y)) (*.f64 -1 (-.f64 (/.f64 -1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 y)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1 y) x)) 2)) (cbrt.f64 (-.f64 (/.f64 -1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 -1 y) x))) (sqrt.f64 (-.f64 (/.f64 -1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y)))) 2) (neg.f64 (cbrt.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2) (cbrt.f64 (+.f64 1 (log.f64 y))) (neg.f64 (-.f64 (/.f64 -1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2) (cbrt.f64 (+.f64 1 (log.f64 y))) (*.f64 -1 (-.f64 (/.f64 -1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2) (cbrt.f64 (+.f64 1 (log.f64 y))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1 y) x)) 2)) (cbrt.f64 (-.f64 (/.f64 -1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2) (cbrt.f64 (+.f64 1 (log.f64 y))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 -1 y) x))) (sqrt.f64 (-.f64 (/.f64 -1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 y) (neg.f64 (-.f64 (/.f64 -1 y) x)))) 2) (cbrt.f64 (+.f64 (log.f64 y) (neg.f64 (-.f64 (/.f64 -1 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 y))) (sqrt.f64 (+.f64 1 (log.f64 y))) (neg.f64 (-.f64 (/.f64 -1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 y))) (sqrt.f64 (+.f64 1 (log.f64 y))) (*.f64 -1 (-.f64 (/.f64 -1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 y))) (sqrt.f64 (+.f64 1 (log.f64 y))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1 y) x)) 2)) (cbrt.f64 (-.f64 (/.f64 -1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 y))) (sqrt.f64 (+.f64 1 (log.f64 y))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 -1 y) x))) (sqrt.f64 (-.f64 (/.f64 -1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 y) (neg.f64 (-.f64 (/.f64 -1 y) x)))) (sqrt.f64 (+.f64 (log.f64 y) (neg.f64 (-.f64 (/.f64 -1 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y)))) 2)) (cbrt.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y))))) (sqrt.f64 (-.f64 (/.f64 -1 y) (fma.f64 1 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (log.f64 y) (neg.f64 (-.f64 (/.f64 -1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 (log.f64 y) (neg.f64 (-.f64 (/.f64 -1 y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (+.f64 1 (log.f64 y)) (-.f64 (/.f64 -1 y) x)))))))) |
| 1× | egg-herbie |
| 2066× | fma-neg_binary64 |
| 887× | associate--r-_binary64 |
| 583× | fma-def_binary64 |
| 556× | associate--l-_binary64 |
| 434× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 1021 |
| 1 | 98 | 825 |
| 2 | 232 | 825 |
| 3 | 636 | 825 |
| 4 | 1650 | 825 |
| 5 | 2925 | 825 |
| 6 | 4128 | 825 |
| 7 | 4461 | 825 |
| 8 | 4468 | 825 |
| 9 | 4468 | 825 |
| 10 | 5027 | 825 |
| 11 | 5177 | 825 |
| 12 | 5235 | 825 |
| 13 | 5253 | 825 |
| 14 | 5269 | 825 |
| 15 | 5269 | 825 |
| 16 | 5273 | 825 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) x) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) x) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) x) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) x) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) x) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) x) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) x) |
(-.f64 (log.f64 (/.f64 -1 y)) x) |
(-.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) x) |
(-.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) x) |
(-.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) x) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(*.f64 -1 x) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(*.f64 -1 x) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(/.f64 -1 y) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(-.f64 (+.f64 1 x) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
x |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
x |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| Outputs |
|---|
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) x) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) x) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) x) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) x) |
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x) |
(-.f64 (log.f64 (/.f64 -1 y)) x) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) x) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) x) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) x) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(-.f64 (log.f64 (/.f64 -1 y)) x) |
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x) |
(-.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) x) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) x) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) x) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 x))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) x)) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x)) |
(-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(+.f64 (/.f64 1 y) (*.f64 -1 x)) |
(+.f64 (/.f64 1 y) (neg.f64 x)) |
(-.f64 (/.f64 1 y) x) |
(/.f64 -1 y) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))))) |
(+.f64 1 (-.f64 x (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (-.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))))) |
(+.f64 1 (-.f64 x (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
x |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
x |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 x (+.f64 (+.f64 (/.f64 1 y) (log.f64 -1)) (neg.f64 (log.f64 y))))) |
(-.f64 (+.f64 1 (-.f64 x (/.f64 1 y))) (log.f64 (/.f64 -1 y))) |
(+.f64 1 (+.f64 x (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (+.f64 x (/.f64 -1 y)))) |
Compiled 7033 to 4707 computations (33.1% saved)
32 alts after pruning (21 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 3 | 407 |
| Fresh | 1 | 18 | 19 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 405 | 32 | 437 |
| Status | Error | Program |
|---|---|---|
| ✓ | 51.0b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x))) |
| 46.8b | (-.f64 1 (/.f64 x y)) | |
| ✓ | 36.6b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 52.3b | (-.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 -1 y) (+.f64 x 1)) (exp.f64 (/.f64 -1 y))))) | |
| 35.3b | (pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3) | |
| 61.6b | (/.f64 -1 y) | |
| 60.2b | (-.f64 1 (/.f64 1 y)) | |
| 51.6b | (+.f64 1 (+.f64 (log.f64 (*.f64 (exp.f64 (/.f64 -1 y)) (*.f64 y -1))) (/.f64 -1/2 (*.f64 y y)))) | |
| 40.7b | (-.f64 1 (log1p.f64 (/.f64 x y))) | |
| 50.2b | (-.f64 1 (log.f64 (/.f64 -1 y))) | |
| 37.4b | (-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) | |
| ✓ | 35.9b | (+.f64 (neg.f64 (log1p.f64 x)) 1) |
| 60.9b | (+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) | |
| ✓ | 37.6b | (-.f64 1 (*.f64 y (*.f64 y 1/2))) |
| 35.6b | (-.f64 1 (*.f64 x (-.f64 -1 y))) | |
| 61.4b | (neg.f64 y) | |
| 50.8b | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) | |
| 35.4b | 1 | |
| 34.2b | (-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) | |
| 45.6b | (+.f64 1 (-.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) | |
| ✓ | 21.4b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| ✓ | 51.3b | (+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))) |
| ✓ | 36.7b | (-.f64 1 y) |
| 27.9b | (-.f64 1 (log1p.f64 (exp.f64 (log.f64 (/.f64 x (+.f64 -1 y)))))) | |
| ✓ | 15.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 15.0b | (-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) |
| 61.4b | x | |
| 34.2b | (-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) | |
| 35.3b | (-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))) | |
| 40.2b | (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) | |
| ✓ | 22.7b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ✓ | 34.9b | (+.f64 1 x) |
Compiled 344 to 273 computations (20.6% saved)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(/.f64 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (*.f64 x (-.f64 -1 y))) |
(-.f64 1 (*.f64 y (*.f64 y 1/2))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) |
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 -1 y) (+.f64 x 1)) (exp.f64 (/.f64 -1 y))))) |
(+.f64 1 (+.f64 (log.f64 (*.f64 (exp.f64 (/.f64 -1 y)) (*.f64 y -1))) (/.f64 -1/2 (*.f64 y 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 1 (log1p.f64 (exp.f64 (log.f64 (/.f64 x (+.f64 -1 y)))))) |
(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3) |
(-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))) |
| Outputs |
|---|
(+.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 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) |
2 calls:
| 50.0ms | y |
| 31.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.1b | 2 | x |
| 0.1b | 3 | y |
Compiled 288 to 204 computations (29.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.048013361541244234 | 23407439185413080.0 |
| 18.0ms | -374132.5503302471 | -178.95950187980515 |
Compiled 79 to 62 computations (21.5% saved)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(/.f64 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (*.f64 x (-.f64 -1 y))) |
(-.f64 1 (*.f64 y (*.f64 y 1/2))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) |
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) x))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 1 (log.f64 (/.f64 (*.f64 (/.f64 -1 y) (+.f64 x 1)) (exp.f64 (/.f64 -1 y))))) |
(+.f64 1 (+.f64 (log.f64 (*.f64 (exp.f64 (/.f64 -1 y)) (*.f64 y -1))) (/.f64 -1/2 (*.f64 y y)))) |
| Outputs |
|---|
(+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) |
2 calls:
| 39.0ms | y |
| 32.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.1b | 2 | x |
| 0.2b | 3 | y |
Compiled 219 to 157 computations (28.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.048013361541244234 | 23407439185413080.0 |
| 20.0ms | -2512729112.537091 | -7795667.040003452 |
Compiled 67 to 53 computations (20.9% saved)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(/.f64 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (*.f64 x (-.f64 -1 y))) |
(-.f64 1 (*.f64 y (*.f64 y 1/2))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) |
(-.f64 1 (log1p.f64 (/.f64 x (+.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| Outputs |
|---|
(+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) |
2 calls:
| 34.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.1b | 2 | x |
| 0.8b | 3 | y |
Compiled 139 to 98 computations (29.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.048013361541244234 | 23407439185413080.0 |
| 20.0ms | -178.95950187980515 | -7.293517587087737e-5 |
Compiled 250 to 202 computations (19.2% saved)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(/.f64 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (*.f64 x (-.f64 -1 y))) |
(-.f64 1 (*.f64 y (*.f64 y 1/2))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
2 calls:
| 31.0ms | y |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.3b | 2 | x |
| 8.4b | 3 | y |
Compiled 114 to 80 computations (29.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 153.0ms | 0.048013361541244234 | 23407439185413080.0 |
| 263.0ms | -178.95950187980515 | -7.293517587087737e-5 |
Compiled 380 to 309 computations (18.7% saved)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(/.f64 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (*.f64 x (-.f64 -1 y))) |
(-.f64 1 (*.f64 y (*.f64 y 1/2))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
2 calls:
| 28.0ms | y |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.3b | 2 | x |
| 8.7b | 3 | y |
Compiled 107 to 77 computations (28% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.048013361541244234 | 23407439185413080.0 |
| 243.0ms | -178.95950187980515 | -7.293517587087737e-5 |
Compiled 342 to 290 computations (15.2% saved)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(/.f64 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (*.f64 x (-.f64 -1 y))) |
(-.f64 1 (*.f64 y (*.f64 y 1/2))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
2 calls:
| 18.0ms | y |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.4b | 1 | x |
| 11.7b | 2 | y |
Compiled 101 to 74 computations (26.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 194.0ms | -178.95950187980515 | -7.293517587087737e-5 |
Compiled 172 to 150 computations (12.8% saved)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(/.f64 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (*.f64 x (-.f64 -1 y))) |
(-.f64 1 (*.f64 y (*.f64 y 1/2))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
| Outputs |
|---|
(-.f64 1 (log1p.f64 (neg.f64 x))) |
2 calls:
| 14.0ms | y |
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.4b | 1 | x |
| 21.4b | 1 | y |
Compiled 95 to 69 computations (27.4% saved)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(/.f64 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (*.f64 x (-.f64 -1 y))) |
(-.f64 1 (*.f64 y (*.f64 y 1/2))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (+.f64 (*.f64 (*.f64 y 1/2) y) y)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) |
| Outputs |
|---|
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
2 calls:
| 11.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 34.2b | 1 | x |
| 34.2b | 1 | y |
Compiled 85 to 61 computations (28.2% saved)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(/.f64 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (*.f64 x (-.f64 -1 y))) |
(-.f64 1 (*.f64 y (*.f64 y 1/2))) |
| Outputs |
|---|
(+.f64 1 x) |
2 calls:
| 10.0ms | x |
| 7.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 34.9b | 1 | x |
| 34.9b | 1 | y |
Compiled 45 to 31 computations (31.1% saved)
Total -27.1b remaining (-76.6%)
Threshold costs -27.1b (-76.6%)
| Inputs |
|---|
x |
1 |
(neg.f64 y) |
| Outputs |
|---|
1 |
2 calls:
| 4.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 35.4b | 1 | x |
| 35.4b | 1 | y |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 26× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 11× | *-commutative_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 297 |
| 1 | 91 | 297 |
| 2 | 129 | 297 |
| 3 | 152 | 297 |
| 4 | 161 | 297 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y -100000) (+.f64 1 (-.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) (if (<=.f64 y 1) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))))) |
(if (<=.f64 y -100000000) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) (if (<=.f64 y 1) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))))) |
(if (<=.f64 y -1) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) (if (<=.f64 y 23000000000000000) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))))) |
(if (<=.f64 y -5534023222112865/73786976294838206464) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 903890459611768064/18446744073709551616) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -5534023222112865/73786976294838206464) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 23000000000000000) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -5534023222112865/73786976294838206464) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(+.f64 1 x) |
1 |
x |
| Outputs |
|---|
(if (<=.f64 y -100000) (+.f64 1 (-.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) (if (<=.f64 y 1) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))))) |
(if (<=.f64 y -100000000) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) (if (<=.f64 y 1) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))))) |
(if (<=.f64 y -1) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))) (if (<=.f64 y 23000000000000000) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (+.f64 1 (log.f64 (/.f64 y (+.f64 -1 x)))))) |
(if (<=.f64 y -5534023222112865/73786976294838206464) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 903890459611768064/18446744073709551616) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -5534023222112865/73786976294838206464) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 3530822107858469/72057594037927936) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -5534023222112865/73786976294838206464) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 23000000000000000) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -5534023222112865/73786976294838206464) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (*.f64 x (/.f64 1 (+.f64 y -1)))) |
(+.f64 1 (*.f64 x (/.f64 -1 (+.f64 y -1)))) |
(+.f64 1 x) |
1 |
x |
| 1× | fuel |
Compiled 418 to 304 computations (27.3% saved)
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