Time bar (total: 12.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 3.2% | 3.1% | 93.7% | 0.1% | 0% | 3.1% | 0% | 6 |
| 17.5% | 15.6% | 73.4% | 0.1% | 1.6% | 9.4% | 0% | 7 |
| 23% | 20.3% | 67.9% | 0.1% | 1.6% | 10.1% | 0% | 8 |
| 34.1% | 28.9% | 55.8% | 0.1% | 2.3% | 12.9% | 0% | 9 |
| 37.4% | 31.6% | 52.9% | 0.1% | 2.3% | 13.1% | 0% | 10 |
| 43.6% | 36.1% | 46.7% | 0.1% | 2.7% | 14.3% | 0% | 11 |
| 45.4% | 37.6% | 45.2% | 0.1% | 2.7% | 14.4% | 0% | 12 |
Compiled 15 to 12 computations (20% saved)
| 1.1s | 6402× | body | 256 | valid |
| 426.0ms | 1066× | body | 1024 | valid |
| 190.0ms | 716× | body | 512 | valid |
| 186.0ms | 542× | body | 1024 | invalid |
| 123.0ms | 941× | body | 256 | invalid |
| 115.0ms | 838× | body | 256 | infinite |
| 83.0ms | 331× | body | 512 | invalid |
| 42.0ms | 72× | body | 2048 | valid |
| 1.0ms | 3× | body | 1024 | infinite |
| 1.0ms | 3× | body | 512 | infinite |
| 2× | egg-herbie |
| 1792× | fma-neg_binary64 |
| 711× | div-sub_binary64 |
| 504× | times-frac_binary64 |
| 485× | sub-neg_binary64 |
| 360× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 38 | 34 |
| 2 | 73 | 30 |
| 3 | 160 | 30 |
| 4 | 358 | 30 |
| 5 | 813 | 30 |
| 6 | 2201 | 30 |
| 7 | 5604 | 30 |
| 8 | 6272 | 30 |
| 9 | 6593 | 30 |
| 10 | 7081 | 30 |
| 11 | 7351 | 30 |
| 12 | 7625 | 30 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x))))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x))))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 y x)) (-.f64 1 x)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 1 x)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 x -1)))) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 1264× | fma-neg_binary64 |
| 1110× | fma-def_binary64 |
| 494× | cancel-sign-sub-inv_binary64 |
| 382× | sub-neg_binary64 |
| 367× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 22 | 17 |
| 2 | 40 | 17 |
| 3 | 86 | 15 |
| 4 | 203 | 15 |
| 5 | 439 | 15 |
| 6 | 1018 | 15 |
| 7 | 2609 | 15 |
| 8 | 4367 | 15 |
| 9 | 5114 | 15 |
| 10 | 5689 | 15 |
| 11 | 6635 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
Compiled 24 to 17 computations (29.2% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 17.4b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
Compiled 12 to 9 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (+.f64 y -1)) |
| ✓ | 2.7b | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
Compiled 37 to 20 computations (45.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | y | @ | 0 | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | x | @ | 0 | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | 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 |
| 543× | log-prod_binary64 |
| 338× | fma-def_binary64 |
| 324× | pow-prod-down_binary64 |
| 305× | pow2_binary64 |
| 210× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 224 | 37 |
| 2 | 3255 | 37 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
(/.f64 (-.f64 x y) (+.f64 y -1)) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2) (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) (sqrt.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 y -1)) (neg.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 y -1)) (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (fma.f64 y -1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) -2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y -1) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))))) |
| 1× | egg-herbie |
| 585× | associate-/r*_binary64 |
| 553× | associate-/l*_binary64 |
| 425× | distribute-rgt-in_binary64 |
| 383× | distribute-lft-in_binary64 |
| 313× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 2996 |
| 1 | 812 | 2479 |
| 2 | 3235 | 2181 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 y 1))))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))))))) |
(log.f64 (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))))))) (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))))) |
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y))) |
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))) |
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)))))) |
(*.f64 -1 (/.f64 y (-.f64 y 1))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(/.f64 x (-.f64 y 1)) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(/.f64 x (-.f64 y 1)) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(+.f64 (/.f64 x (-.f64 y 1)) (*.f64 -1 (/.f64 y (-.f64 y 1)))) |
(*.f64 -1 x) |
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 -1 x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x))) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x)))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))) (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3))))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 1 (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 1 (*.f64 y (-.f64 (/.f64 x (+.f64 1 (*.f64 -1 x))) (/.f64 1 (+.f64 1 (*.f64 -1 x)))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 1 (*.f64 y (-.f64 (/.f64 x (+.f64 1 (*.f64 -1 x))) (/.f64 1 (+.f64 1 (*.f64 -1 x))))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 y (-.f64 (/.f64 x (+.f64 1 (*.f64 -1 x))) (/.f64 1 (+.f64 1 (*.f64 -1 x))))) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))))))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 1 (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y)) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y)) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
| Outputs |
|---|
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) |
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))))) |
(+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) (/.f64 (/.f64 x (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1))))) (+.f64 y -1))) |
(+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1))))) (+.f64 y -1)) (+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (pow.f64 (+.f64 y -1) 2)))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 -1 y) 2)) (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1))))) (+.f64 y -1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 3) (pow.f64 (+.f64 y -1) 3))) (+.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y -1)))) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (pow.f64 (+.f64 y -1) 2))))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (pow.f64 (+.f64 -1 y) 3))) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 -1 y) 2)) (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))))) |
(+.f64 (/.f64 (/.f64 x (+.f64 -1 y)) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 1/3 (/.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3)) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 -1 y) 2)) (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) |
(-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) (/.f64 x (+.f64 y -1)))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) (/.f64 x (+.f64 -1 y)))) |
(-.f64 (fma.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) x) (+.f64 -1 y) (log.f64 x)) (log.f64 (+.f64 -1 y))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(+.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) (/.f64 x (+.f64 y -1))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))))) |
(+.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) (/.f64 x (+.f64 -1 y))) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) (/.f64 x (/.f64 (pow.f64 (+.f64 -1 y) 2) x))) (log.f64 x)) (log.f64 (+.f64 -1 y)))) |
(+.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 y 1))))))) |
(+.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) (/.f64 x (+.f64 y -1))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (+.f64 y -1)))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3))) (neg.f64 (log.f64 (+.f64 y -1))))))) |
(+.f64 (/.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) (/.f64 x (+.f64 -1 y))) (+.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 y) 3)))) (log.f64 (+.f64 -1 y))) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) (/.f64 x (/.f64 (pow.f64 (+.f64 -1 y) 2) x))) (log.f64 x)))) |
(+.f64 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 1 (/.f64 y (+.f64 -1 y)))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) 1/3) (pow.f64 (/.f64 x (+.f64 -1 y)) 3))))) |
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1)))) |
(-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x))) |
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(*.f64 -1 x) |
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(-.f64 (*.f64 (-.f64 1 x) (+.f64 y (+.f64 (pow.f64 y 3) (*.f64 y y)))) x) |
-1 |
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-1 |
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y))) |
(-.f64 (-.f64 (/.f64 x y) 1) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 x y) -1) (/.f64 1 y)) |
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(+.f64 1 (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)))) |
(+.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (log.f64 y) (log.f64 (+.f64 -1 x)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))) (/.f64 1/2 (*.f64 y y))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) (/.f64 1/2 (*.f64 y y))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (neg.f64 (log.f64 y)) (+.f64 (log.f64 (+.f64 x -1)) (/.f64 1/3 (pow.f64 y 3)))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (/.f64 1/2 (*.f64 y y)))))) |
(-.f64 1 (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 y))) (/.f64 1 y)))) |
(-.f64 1 (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (-.f64 1 (log.f64 (neg.f64 (+.f64 x -1)))) (log.f64 (/.f64 -1 y))) |
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) y))) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 x (+.f64 -1 x)) (/.f64 -1 (+.f64 -1 x))) y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 -1 y) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y)) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) y) (*.f64 -1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y)))) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (-.f64 (*.f64 (/.f64 -1/2 y) (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) y)) (/.f64 (+.f64 (/.f64 x (+.f64 -1 x)) (/.f64 -1 (+.f64 -1 x))) y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (*.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) y)) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))))) (+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 (fma.f64 1/6 (/.f64 (fma.f64 6 (/.f64 (-.f64 1 x) (+.f64 x -1)) (fma.f64 -6 (/.f64 (-.f64 1 x) (+.f64 x -1)) (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3))))) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) y) (*.f64 -1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)))) (*.f64 y y))))) (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y))))) |
(+.f64 (fma.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 -1 x) 3))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) 0)) (pow.f64 y 3)) (-.f64 (*.f64 (/.f64 -1/2 y) (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) y)) (/.f64 (+.f64 (/.f64 x (+.f64 -1 x)) (/.f64 -1 (+.f64 -1 x))) y))) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) |
(+.f64 (+.f64 (/.f64 -1/2 (*.f64 y y)) (+.f64 (/.f64 -1/3 (pow.f64 y 3)) (/.f64 -1 y))) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) |
Compiled 6217 to 4552 computations (26.8% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 11 | 260 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 249 | 12 | 261 |
| Status | Error | Program |
|---|---|---|
| ▶ | 64.0b | (-.f64 1 (log1p.f64 -1)) |
| 38.6b | (-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))) | |
| 44.7b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) | |
| ▶ | 23.9b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ▶ | 16.8b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| ▶ | 17.1b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
| 56.5b | (-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) | |
| 39.8b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) | |
| ✓ | 17.4b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| 22.9b | (-.f64 1 (log1p.f64 (neg.f64 x))) | |
| 44.2b | (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) | |
| ▶ | 58.7b | (-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) |
Compiled 286 to 229 computations (19.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (/.f64 x (-.f64 y 1))) |
| ✓ | 0.0b | (/.f64 x (-.f64 y 1)) |
Compiled 27 to 18 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (log1p.f64 (/.f64 x (-.f64 y 1))) |
| 2.0ms | y | @ | -inf | (/.f64 x (-.f64 y 1)) |
| 1.0ms | y | @ | inf | (log1p.f64 (/.f64 x (-.f64 y 1))) |
| 1.0ms | y | @ | 0 | (log1p.f64 (/.f64 x (-.f64 y 1))) |
| 1.0ms | x | @ | 0 | (log1p.f64 (/.f64 x (-.f64 y 1))) |
| 1× | batch-egg-rewrite |
| 764× | pow1_binary64 |
| 710× | add-log-exp_binary64 |
| 709× | expm1-log1p-u_binary64 |
| 708× | log1p-expm1-u_binary64 |
| 695× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 148 | 16 |
| 2 | 1941 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 y 1)) |
(log1p.f64 (/.f64 x (-.f64 y 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) 2) (cbrt.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 y -1))) (sqrt.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 x (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 y -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 x (+.f64 y -1))))))))) |
| 1× | egg-herbie |
| 822× | fma-def_binary64 |
| 487× | associate-+l+_binary64 |
| 372× | associate-*r*_binary64 |
| 361× | associate-*l*_binary64 |
| 338× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 1165 |
| 1 | 481 | 1100 |
| 2 | 1687 | 1014 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(/.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)))))) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 x (neg.f64 (*.f64 x y))) |
(-.f64 (neg.f64 x) (*.f64 x y)) |
(neg.f64 (fma.f64 x y x)) |
(+.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 (*.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))) |
(fma.f64 x (*.f64 y (-.f64 -1 y)) (neg.f64 (fma.f64 x (pow.f64 y 3) 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 (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(+.f64 (+.f64 (/.f64 x y) (+.f64 (/.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)) |
(+.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 (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(+.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) (/.f64 x (pow.f64 y 4))) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(+.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 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)))) |
(fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (/.f64 x (+.f64 -1 y))) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 -1 y) 2)) (/.f64 x (+.f64 -1 y))) |
(+.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)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3)) (*.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))))) |
(+.f64 (/.f64 x (+.f64 -1 y)) (fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (/.f64 1/3 (/.f64 (pow.f64 (+.f64 -1 y) 3) (pow.f64 x 3))))) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 -1 y) 2)) (fma.f64 1/3 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) (/.f64 x (+.f64 -1 y)))) |
(+.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 x (+.f64 y -1)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3)) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)) (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 y -1) 4)))))) |
(+.f64 (/.f64 x (+.f64 -1 y)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 y) 3)) (fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (/.f64 (*.f64 -1/4 (pow.f64 x 4)) (pow.f64 (+.f64 -1 y) 4))))) |
(fma.f64 1/3 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) (+.f64 (/.f64 x (+.f64 -1 y)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 -1 y) 4)) (/.f64 (*.f64 x x) (/.f64 (pow.f64 (+.f64 -1 y) 2) -1/2))))) |
(+.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 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) (/.f64 1 x)) |
(+.f64 (/.f64 y x) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 1 x))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) (-.f64 (/.f64 y x) (/.f64 1 x))) |
(-.f64 (log.f64 x) (-.f64 (log.f64 (+.f64 -1 y)) (/.f64 (+.f64 -1 y) 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 y x) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) (neg.f64 (log.f64 (+.f64 y -1))))) (/.f64 1 x))) |
(+.f64 (/.f64 y x) (+.f64 (log.f64 x) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (neg.f64 (log.f64 (+.f64 -1 y)))) (/.f64 1 x)))) |
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (log.f64 x)) (log.f64 (+.f64 -1 y))) (/.f64 (+.f64 -1 y) 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 (/.f64 y x) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3)) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)) (neg.f64 (log.f64 (+.f64 y -1)))))) (/.f64 1 x))) |
(+.f64 (/.f64 y x) (+.f64 (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (neg.f64 (log.f64 (+.f64 -1 y)))) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 -1 y) 3) (pow.f64 x 3)) (log.f64 x))) (/.f64 -1 x))) |
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 -1 y) x) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (log.f64 x))) (log.f64 (+.f64 -1 y))) (/.f64 (+.f64 -1 y) x)) |
(+.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))) |
(-.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) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) (/.f64 1 x)) |
(+.f64 (-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 y x) (/.f64 1 x))) |
(+.f64 (-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 -1 y) 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 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1)))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x))))) (/.f64 1 x)) |
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (log.f64 (/.f64 -1 (+.f64 -1 y)))) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 y x) (/.f64 1 x))) |
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (log.f64 (/.f64 -1 (+.f64 -1 y)))) (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 -1 y) 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)) |
(+.f64 (/.f64 y x) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3)) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1)))) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x))))) (/.f64 1 x))) |
(+.f64 (/.f64 y x) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 -1 y) 3) (pow.f64 x 3)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (log.f64 (/.f64 -1 (+.f64 -1 y)))) (log.f64 (/.f64 -1 x)))) (/.f64 -1 x))) |
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 -1 y) x) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (log.f64 (/.f64 -1 (+.f64 -1 y))))) (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 -1 y) x)) |
(log.f64 (+.f64 1 (*.f64 -1 x))) |
(log1p.f64 (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 -1 (/.f64 y (/.f64 (+.f64 (neg.f64 x) 1) x)) (log1p.f64 (neg.f64 x))) |
(-.f64 (log1p.f64 (neg.f64 x)) (*.f64 (/.f64 y (-.f64 1 x)) x)) |
(-.f64 (log1p.f64 (neg.f64 x)) (*.f64 x (/.f64 y (-.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))))) |
(fma.f64 1/2 (*.f64 (*.f64 y y) (fma.f64 -2 (/.f64 x (+.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 (neg.f64 x) 1) 2)))) (fma.f64 -1 (/.f64 y (/.f64 (+.f64 (neg.f64 x) 1) x)) (log1p.f64 (neg.f64 x)))) |
(fma.f64 1/2 (*.f64 y (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 1 x))) (/.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) x))))) (-.f64 (log1p.f64 (neg.f64 x)) (*.f64 (/.f64 y (-.f64 1 x)) x))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 1 x)) (-.f64 -2 (/.f64 x (-.f64 1 x)))) (*.f64 y (*.f64 y 1/2)) (log1p.f64 (neg.f64 x))) (*.f64 x (/.f64 y (-.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)))))) |
(fma.f64 1/2 (*.f64 (*.f64 y y) (fma.f64 -2 (/.f64 x (+.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 (neg.f64 x) 1) 2)))) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 -6 (/.f64 (*.f64 x x) (pow.f64 (+.f64 (neg.f64 x) 1) 2)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (neg.f64 x) 1) 3)) (*.f64 (/.f64 x (+.f64 (neg.f64 x) 1)) -6)))) (fma.f64 -1 (/.f64 y (/.f64 (+.f64 (neg.f64 x) 1) x)) (log1p.f64 (neg.f64 x))))) |
(fma.f64 1/2 (*.f64 y (*.f64 y (-.f64 (*.f64 -2 (/.f64 x (-.f64 1 x))) (/.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) x))))) (fma.f64 1/6 (*.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 (/.f64 x (-.f64 1 x)) -6)))) (-.f64 (log1p.f64 (neg.f64 x)) (*.f64 (/.f64 y (-.f64 1 x)) x)))) |
(fma.f64 (pow.f64 y 3) (*.f64 1/6 (fma.f64 -2 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (*.f64 -6 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (/.f64 (pow.f64 (-.f64 1 x) 2) x)))))) (-.f64 (fma.f64 (*.f64 (/.f64 x (-.f64 1 x)) (-.f64 -2 (/.f64 x (-.f64 1 x)))) (*.f64 y (*.f64 y 1/2)) (log1p.f64 (neg.f64 x))) (*.f64 x (/.f64 y (-.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)) |
(fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (/.f64 x y)) |
(fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 x y)) |
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.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))) |
(fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (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)) (/.f64 x y))) |
(fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 (*.f64 x x) -6 (*.f64 x 6))) (pow.f64 y 3)) (/.f64 x y))) |
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (fma.f64 1/6 (/.f64 (fma.f64 x 6 (*.f64 (*.f64 x x) (+.f64 -6 (*.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)))))) |
(fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (+.f64 (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)) (/.f64 x y)) (*.f64 1/24 (/.f64 (fma.f64 24 (pow.f64 x 3) (fma.f64 24 x (fma.f64 -6 (pow.f64 x 4) (*.f64 (*.f64 x x) -36)))) (pow.f64 y 4))))) |
(fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 (*.f64 x x) -6 (*.f64 x 6))) (pow.f64 y 3)) (fma.f64 1/24 (/.f64 (fma.f64 (pow.f64 x 3) 24 (fma.f64 x 24 (fma.f64 (*.f64 x x) -36 (*.f64 (pow.f64 x 4) -6)))) (pow.f64 y 4)) (/.f64 x y)))) |
(fma.f64 1/6 (/.f64 (fma.f64 x 6 (*.f64 (*.f64 x x) (+.f64 -6 (*.f64 x 2)))) (pow.f64 y 3)) (fma.f64 1/24 (/.f64 (fma.f64 (pow.f64 x 3) 24 (fma.f64 (pow.f64 x 4) -6 (*.f64 x (+.f64 24 (*.f64 x -36))))) (pow.f64 y 4)) (fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.f64 x y)))) |
(/.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)) |
(fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (/.f64 x y)) |
(fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 x y)) |
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.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))) |
(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 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (/.f64 x y))) |
(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)) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 x y))) |
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (fma.f64 -1/6 (/.f64 (fma.f64 (pow.f64 x 3) -2 (*.f64 x (+.f64 (*.f64 x 6) -6))) (pow.f64 y 3)) (/.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)))))) |
(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)) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)) (/.f64 x y)) (*.f64 1/24 (/.f64 (fma.f64 24 (pow.f64 x 3) (fma.f64 24 x (fma.f64 -6 (pow.f64 x 4) (*.f64 (*.f64 x x) -36)))) (pow.f64 y 4))))) |
(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)) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (fma.f64 1/24 (/.f64 (fma.f64 (pow.f64 x 3) 24 (fma.f64 x 24 (fma.f64 (*.f64 x x) -36 (*.f64 (pow.f64 x 4) -6)))) (pow.f64 y 4)) (/.f64 x y)))) |
(fma.f64 1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (fma.f64 -1/6 (/.f64 (fma.f64 (pow.f64 x 3) -2 (*.f64 x (+.f64 (*.f64 x 6) -6))) (pow.f64 y 3)) (fma.f64 1/24 (/.f64 (fma.f64 (pow.f64 x 3) 24 (fma.f64 (pow.f64 x 4) -6 (*.f64 x (+.f64 24 (*.f64 x -36))))) (pow.f64 y 4)) (/.f64 x y)))) |
Compiled 10 to 10 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (log1p.f64 (neg.f64 x))) |
Compiled 22 to 8 computations (63.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | 0 | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 1.0ms | x | @ | inf | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 1.0ms | x | @ | -inf | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 1.0ms | y | @ | inf | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 1.0ms | x | @ | 0 | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 619× | pow1_binary64 |
| 576× | add-log-exp_binary64 |
| 575× | expm1-log1p-u_binary64 |
| 574× | log1p-expm1-u_binary64 |
| 563× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 130 | 6 |
| 2 | 1801 | 6 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 y (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (log1p.f64 x))) 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 (pow.f64 (+.f64 y (log1p.f64 x)) 3) 1/3)))) (#(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 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 expm1.f64 (log1p.f64 (+.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 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)))))) |
| 1× | egg-herbie |
| 503× | associate-+l-_binary64 |
| 485× | fma-def_binary64 |
| 412× | associate--l+_binary64 |
| 394× | associate-/r*_binary64 |
| 317× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 316 |
| 1 | 145 | 287 |
| 2 | 401 | 283 |
| 3 | 1446 | 278 |
| 4 | 5584 | 278 |
| 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)))) |
| 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))) |
(fma.f64 x (*.f64 x -1/2) (-.f64 y x)) |
(fma.f64 x (fma.f64 x -1/2 -1) y) |
(+.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) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))) |
(fma.f64 x (*.f64 x -1/2) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) y) x)) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2) y) 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 y (+.f64 (log.f64 x) (log.f64 -1))) |
(+.f64 (log.f64 x) (+.f64 y (log.f64 -1))) |
(-.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 (-.f64 (log.f64 -1) (/.f64 1 x)) (log.f64 x))) |
(+.f64 (log.f64 x) (+.f64 y (+.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 (/.f64 -1 x) (+.f64 y (+.f64 (log.f64 x) (-.f64 (log.f64 -1) (/.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 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(-.f64 (+.f64 (log.f64 x) (-.f64 (+.f64 y (-.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (-.f64 (+.f64 y (-.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3)))) |
(+.f64 y (+.f64 (log.f64 x) (+.f64 (/.f64 -1 x) (+.f64 (log.f64 -1) (-.f64 (/.f64 -1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))))) |
(+.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 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (/.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 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))) (-.f64 (log.f64 (/.f64 -1 x)) y)) |
(-.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 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(-.f64 (-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) |
(-.f64 y (+.f64 (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 (/.f64 -1 x) (-.f64 y (/.f64 1/2 (*.f64 x x)))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 (/.f64 -1 x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
| ✓ | 0.0b | (/.f64 1 (+.f64 y -1)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)) |
| ✓ | 5.9b | (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))) |
Compiled 48 to 30 computations (37.5% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 1 (+.f64 y -1)) |
| 1.0ms | y | @ | 0 | (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))) |
| 0.0ms | x | @ | 0 | (-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
| 0.0ms | y | @ | -inf | (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))) |
| 0.0ms | x | @ | inf | (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))) |
| 1× | batch-egg-rewrite |
| 927× | prod-diff_binary64 |
| 549× | log-prod_binary64 |
| 334× | fma-def_binary64 |
| 212× | expm1-udef_binary64 |
| 211× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 1 | 241 | 44 |
| 2 | 3312 | 44 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)) |
(/.f64 1 (+.f64 y -1)) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
| 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 1 (+.f64 y -1))) (*.f64 (neg.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 y -1)) x) (*.f64 (/.f64 1 (+.f64 y -1)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (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 1 (/.f64 (-.f64 x y) (+.f64 y -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 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 y -1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 y -1))) (cbrt.f64 (pow.f64 (+.f64 y -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y -1) -1/2) (pow.f64 (+.f64 y -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 y -1 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 y -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y -1))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (E.f64) (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1))))) (cbrt.f64 (/.f64 (E.f64) (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1))))))) (log.f64 (cbrt.f64 (/.f64 (E.f64) (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (E.f64) (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (log.f64 (sqrt.f64 (/.f64 (E.f64) (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) (+.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> 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-1)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1))))) |
| 1× | egg-herbie |
| 587× | associate-/r*_binary64 |
| 555× | associate-/l*_binary64 |
| 425× | distribute-rgt-in_binary64 |
| 383× | distribute-lft-in_binary64 |
| 322× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 3175 |
| 1 | 864 | 2650 |
| 2 | 3386 | 2346 |
| 1× | node limit |
| Inputs |
|---|
(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)))))) |
(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))))))) |
(*.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 (/.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)))) |
-1 |
(-.f64 (*.f64 -1 y) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) 1) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))) |
(-.f64 1 (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)))) |
(-.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)))))) |
| Outputs |
|---|
(log.f64 (+.f64 1 (*.f64 -1 x))) |
(log1p.f64 (neg.f64 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)))) |
(fma.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)) (log1p.f64 (neg.f64 x))) |
(fma.f64 1 y (log1p.f64 (neg.f64 x))) |
(+.f64 y (log1p.f64 (neg.f64 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))))) |
(fma.f64 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 2 (/.f64 (-.f64 1 x) (-.f64 1 x)))) (*.f64 y y)) (fma.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)) (log1p.f64 (neg.f64 x)))) |
(fma.f64 1/2 (*.f64 y y) (fma.f64 1 y (log1p.f64 (neg.f64 x)))) |
(+.f64 (log1p.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 y y) y)) |
(+.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)))))) |
(fma.f64 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 2 (/.f64 (-.f64 1 x) (-.f64 1 x)))) (*.f64 y y)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 6 (/.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) -6)))) (fma.f64 y (/.f64 (-.f64 1 x) (-.f64 1 x)) (log1p.f64 (neg.f64 x))))) |
(+.f64 (fma.f64 1 y (log1p.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 3) 1/3))) |
(+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 y y) y)) (*.f64 (pow.f64 y 3) 1/3)) |
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1))) |
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))) |
(+.f64 (/.f64 1 y) (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))) |
(+.f64 (/.f64 1 y) (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) |
(+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1 y) (log.f64 y))) |
(+.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 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)))) |
(+.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 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 (/.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 (log.f64 (+.f64 -1 x)) (-.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y))) |
(+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y))) |
(+.f64 (log1p.f64 (neg.f64 x)) (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 (log.f64 (neg.f64 (+.f64 x -1))) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) y)))) |
(+.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) y))) |
(+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (log.f64 (/.f64 -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))))) |
(fma.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))) (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) y))))) |
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(*.f64 -1 x) |
(neg.f64 x) |
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(fma.f64 y (-.f64 1 x) (neg.f64 x)) |
(-.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 x))) |
(fma.f64 y (-.f64 1 x) (fma.f64 (*.f64 y y) (-.f64 1 x) (neg.f64 x))) |
(-.f64 (*.f64 (-.f64 1 x) (fma.f64 y y y)) 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)))) |
(fma.f64 y (-.f64 1 x) (fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 (*.f64 y y) (-.f64 1 x) (neg.f64 x)))) |
(fma.f64 y (-.f64 1 x) (-.f64 (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) (*.f64 y y))) x)) |
(-.f64 (*.f64 (-.f64 1 x) (+.f64 y (*.f64 y (fma.f64 y y y)))) x) |
-1 |
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(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y))) |
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-1 |
(-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)) |
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y))) |
(+.f64 (-.f64 (/.f64 x y) (/.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)) |
(-.f64 (+.f64 (/.f64 x y) (neg.f64 (/.f64 (-.f64 1 x) (*.f64 y y)))) (+.f64 1 (/.f64 1 y))) |
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(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 x (*.f64 (+.f64 y -1) (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))))) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 2) (pow.f64 (+.f64 y -1) 2))) (*.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 3) (pow.f64 (+.f64 y -1) 3))) -1/3))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))) |
(+.f64 1 (-.f64 (-.f64 (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))) (/.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))))) (/.f64 x (*.f64 (+.f64 -1 y) (-.f64 1 (/.f64 y (+.f64 -1 y)))))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))) |
(+.f64 (-.f64 1 (/.f64 x (*.f64 (+.f64 -1 y) (-.f64 1 (/.f64 y (+.f64 -1 y)))))) (-.f64 (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))) (*.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y)))) 3) (pow.f64 (+.f64 -1 y) 3)) -1/3)) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))) |
(-.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 -1 y)))) |
(-.f64 (+.f64 1 (log.f64 (+.f64 -1 y))) (log.f64 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 (/.f64 1 (-.f64 y 1))))) |
(-.f64 (+.f64 1 (neg.f64 (/.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) (/.f64 x (+.f64 y -1))))) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1))))) |
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 y) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y)))))) (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y)))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (-.f64 (log.f64 (+.f64 -1 y)) (log.f64 x))) |
(-.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 1 (-.f64 (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) (/.f64 x (+.f64 y -1))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.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 1 (/.f64 (+.f64 -1 y) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y)))))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x))) (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (-.f64 (log.f64 (+.f64 -1 y)) (log.f64 x)))) |
(-.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 (+.f64 1 (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3))) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) (/.f64 x (+.f64 y -1))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.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 1 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 y) 3))) -1/3 (-.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x))) (/.f64 (+.f64 -1 y) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y))))))) (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (pow.f64 (/.f64 x (+.f64 -1 y)) 3)) -1/3 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (/.f64 (fma.f64 -1 y 1) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y))))))) (-.f64 (+.f64 1 (log.f64 (+.f64 -1 y))) (log.f64 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 -1 y))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (-.f64 1 (log.f64 (/.f64 -1 (+.f64 -1 y)))) (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 1 (-.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) (/.f64 x (+.f64 y -1)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1)))))) |
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 y) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y)))))) (-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 -1 y))))) |
(-.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 1 (-.f64 (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) (/.f64 x (+.f64 y -1))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2))))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1)))))) |
(+.f64 1 (-.f64 (-.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x))) (/.f64 (+.f64 -1 y) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y)))))) (-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x))))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 -1 y) x) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 -1 y)))))) |
(-.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 (-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3))) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) (/.f64 x (+.f64 y -1))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 2) (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)))))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1)))))) |
(+.f64 1 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 y) 3))) -1/3 (-.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x))) (/.f64 (+.f64 -1 y) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y))))))) (-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2) x) (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (/.f64 (fma.f64 -1 y 1) (/.f64 x (-.f64 1 (/.f64 y (+.f64 -1 y)))))) (fma.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 3) (pow.f64 (/.f64 x (+.f64 -1 y)) 3)) -1/3 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 -1 y))))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
Compiled 31 to 20 computations (35.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | y | @ | 0 | (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
| 14.0ms | y | @ | -inf | (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
| 7.0ms | y | @ | inf | (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
| 1.0ms | x | @ | 0 | (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
| 0.0ms | x | @ | -inf | (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
| 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 | 2314 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 -1 x)) (*.f64 (neg.f64 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 (neg.f64 (log.f64 y)) 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (log.f64 y)) 2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (pow.f64 (log.f64 y) 2)) (/.f64 1 (log.f64 (*.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 -1 x))) (sqrt.f64 (log.f64 y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 -1 x))) (sqrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))) (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (*.f64 (+.f64 -1 x) y)) (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (pow.f64 (log.f64 y) 2)) (log.f64 (*.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (log.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (+.f64 -1 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (pow.f64 (log.f64 y) 2))) (neg.f64 (log.f64 (*.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 3) (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (-.f64 (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y))) (*.f64 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 -1 x)) 2) (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y)))) (-.f64 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 -1 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 -1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 -1 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 -1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (+.f64 -1 x)) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 x))) 2) (cbrt.f64 (log.f64 (+.f64 -1 x))) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 -1 x))) (sqrt.f64 (log.f64 (+.f64 -1 x))) (neg.f64 (log.f64 y))))))) |
| 1× | egg-herbie |
| 774× | sub-neg_binary64 |
| 529× | unsub-neg_binary64 |
| 442× | fma-neg_binary64 |
| 367× | distribute-neg-in_binary64 |
| 358× | associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 385 |
| 1 | 183 | 346 |
| 2 | 538 | 341 |
| 3 | 2095 | 340 |
| 4 | 5178 | 340 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 -1) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 x)) (log.f64 y)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (*.f64 -1 x))) (log.f64 y)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) (log.f64 y)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (log.f64 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.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))) (+.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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 y)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (/.f64 1 x) (log.f64 y))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y)))) |
(-.f64 (+.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 (/.f64 1 x) (log.f64 y))))) |
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
| Outputs |
|---|
(-.f64 (log.f64 -1) (log.f64 y)) |
(log.f64 (/.f64 -1 y)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 x)) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 -1) (neg.f64 x)) (log.f64 y)) |
(+.f64 (neg.f64 x) (log.f64 (/.f64 -1 y))) |
(-.f64 (log.f64 (/.f64 -1 y)) x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (*.f64 -1 x))) (log.f64 y)) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 -1) (neg.f64 x))) (log.f64 y)) |
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) (log.f64 -1)) x) (log.f64 y)) |
(fma.f64 x (*.f64 x -1/2) (-.f64 (log.f64 (/.f64 -1 y)) x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) (log.f64 y)) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) (+.f64 (log.f64 -1) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3))))) (log.f64 y)) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (-.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/3) -1/2))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (-.f64 (log.f64 (/.f64 -1 y)) x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 y)) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 y)) |
(-.f64 (log.f64 x) (log.f64 y)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (log.f64 y))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (log.f64 y) (/.f64 1 x))) |
(-.f64 (log.f64 x) (+.f64 (log.f64 y) (/.f64 1 x))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y)))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 y) (/.f64 1 x))) |
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) (/.f64 -1/2 (*.f64 x x))) |
(+.f64 (/.f64 -1 x) (-.f64 (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)) (log.f64 y))) |
(-.f64 (*.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 (/.f64 1 x) (log.f64 y))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3))))) |
(-.f64 (-.f64 (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 y) (/.f64 1 x))) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (+.f64 (-.f64 (/.f64 -1 x) (log.f64 y)) (/.f64 -1/2 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (-.f64 (/.f64 -1 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 1/2 (/.f64 1/3 x))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 y)) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 y)) |
(-.f64 (log.f64 x) (log.f64 y)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (/.f64 1 x) (log.f64 y))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (log.f64 y) (/.f64 1 x))) |
(-.f64 (log.f64 x) (+.f64 (log.f64 y) (/.f64 1 x))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (log.f64 y)))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 y) (/.f64 1 x))) |
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) (/.f64 -1/2 (*.f64 x x))) |
(+.f64 (/.f64 -1 x) (-.f64 (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)) (log.f64 y))) |
(-.f64 (+.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 (/.f64 1 x) (log.f64 y))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 x)) (/.f64 1/3 (pow.f64 x 3))))) |
(-.f64 (-.f64 (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (log.f64 y) (/.f64 1 x))) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (+.f64 (-.f64 (/.f64 -1 x) (log.f64 y)) (/.f64 -1/2 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (log.f64 y))) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (-.f64 (/.f64 -1 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 1/2 (/.f64 1/3 x))))) |
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
(-.f64 (log.f64 (-.f64 x 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) |
Compiled 10609 to 7618 computations (28.2% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 495 | 8 | 503 |
| Fresh | 5 | 1 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 503 | 12 | 515 |
| Status | Error | Program |
|---|---|---|
| ▶ | 39.5b | (-.f64 1 y) |
| ▶ | 39.8b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 44.7b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) | |
| ✓ | 23.9b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ✓ | 17.4b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ▶ | 37.0b | (-.f64 1 (/.f64 x (-.f64 y 1))) |
| ▶ | 22.9b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 39.4b | (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) | |
| 49.2b | (-.f64 1 (log.f64 (/.f64 -1 y))) | |
| ✓ | 16.8b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| ▶ | 44.0b | (-.f64 1 (log1p.f64 (/.f64 x y))) |
| 38.6b | (-.f64 1 (-.f64 y x)) |
Compiled 193 to 154 computations (20.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
Compiled 14 to 7 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 1.0ms | x | @ | 0 | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 1.0ms | x | @ | -inf | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 519× | pow1_binary64 |
| 506× | add-sqr-sqrt_binary64 |
| 483× | add-log-exp_binary64 |
| 483× | expm1-log1p-u_binary64 |
| 482× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 123 | 6 |
| 2 | 1525 | 6 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x)))) (-.f64 1 (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log1p.f64 x)) (-.f64 1 (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (+.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 869× | sub-neg_binary64 |
| 502× | fma-neg_binary64 |
| 476× | associate-*l*_binary64 |
| 437× | fma-def_binary64 |
| 429× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 224 |
| 1 | 140 | 204 |
| 2 | 378 | 204 |
| 3 | 1166 | 199 |
| 4 | 3242 | 199 |
| 5 | 7339 | 199 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 1 (fma.f64 x (*.f64 x 1/2) x)) |
(fma.f64 (fma.f64 x 1/2 1) x 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))) |
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/3 (pow.f64 x 3) x))) |
(+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x 1/3 1/2) x)) |
(fma.f64 x (*.f64 x (fma.f64 x 1/3 1/2)) (+.f64 1 x)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 1 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1)) |
(-.f64 1 (+.f64 (log.f64 x) (log.f64 -1))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(+.f64 1 (-.f64 (/.f64 1 x) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))) |
(+.f64 (/.f64 1 x) (-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1))) |
(+.f64 1 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1)))) |
(+.f64 (-.f64 1 (log.f64 x)) (-.f64 (/.f64 1 x) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1))) |
(+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1))) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 1 (-.f64 (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 -1)) (log.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 -1))))) |
(+.f64 (+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1))) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (+.f64 (log.f64 -1) -1)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 -1 (log.f64 x)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 -1 (log.f64 -1)))) (log.f64 x))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 1 (neg.f64 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (log.f64 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (neg.f64 (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (neg.f64 (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))))) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (-.f64 y 1)) |
Compiled 20 to 13 computations (35% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.4b | (log1p.f64 (/.f64 x y)) |
Compiled 18 to 7 computations (61.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (log1p.f64 (/.f64 x y)) |
| 1.0ms | x | @ | -inf | (log1p.f64 (/.f64 x y)) |
| 1.0ms | x | @ | inf | (log1p.f64 (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (log1p.f64 (/.f64 x y)) |
| 0.0ms | y | @ | inf | (log1p.f64 (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 533× | pow1_binary64 |
| 509× | add-sqr-sqrt_binary64 |
| 492× | add-log-exp_binary64 |
| 492× | expm1-log1p-u_binary64 |
| 491× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 102 | 6 |
| 2 | 1319 | 6 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 2) (cbrt.f64 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 x y))) (sqrt.f64 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 729× | associate-/r*_binary64 |
| 629× | associate-*l/_binary64 |
| 534× | associate-*r*_binary64 |
| 445× | associate-*l*_binary64 |
| 438× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 635 |
| 1 | 187 | 573 |
| 2 | 556 | 546 |
| 3 | 2244 | 522 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y)))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y))))))) |
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) |
(+.f64 (/.f64 y x) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y)))))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
| Outputs |
|---|
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) |
(*.f64 (+.f64 (*.f64 (/.f64 x y) -1/2) 1) (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))) |
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (/.f64 x y))) |
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (*.f64 (+.f64 (*.f64 (/.f64 x y) -1/2) 1) (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))) |
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))) |
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/4 (pow.f64 (/.f64 x y) 4) (*.f64 (+.f64 (*.f64 (/.f64 x y) -1/2) 1) (/.f64 x y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (/.f64 y x)) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 y x)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) |
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 y x) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x)) (log.f64 y))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 (+.f64 (/.f64 (*.f64 y -1/2) x) 1) (/.f64 y x))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y)))))) |
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))) |
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x)) (log.f64 y)))) |
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x)) (log.f64 y)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x))) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 y -1/2) x) 1) (/.f64 y x)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (log.f64 x) (log.f64 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))) |
(-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y))))) |
(+.f64 (/.f64 y x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 y x) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y)))))) |
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))))) |
(+.f64 (/.f64 y x) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 y -1/2) x) 1) (/.f64 y x)) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 y))))))) |
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))))) |
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))))) |
(fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (+.f64 (log.f64 (/.f64 -1 y)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))) (log.f64 (/.f64 -1 x)))) |
(fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 y -1/2) x) 1) (/.f64 y x)) (log.f64 (/.f64 -1 x))))) |
(+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+.f64 (/.f64 y x) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y)))) |
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))) (/.f64 y x)) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 y x)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) |
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 y x) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x)) (log.f64 y))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 (+.f64 (/.f64 (*.f64 y -1/2) x) 1) (/.f64 y x))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y)))))) |
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 y)))))) |
(+.f64 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x)) (log.f64 y)))) |
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 y x)) (log.f64 x)) (log.f64 y)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x))) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 y -1/2) x) 1) (/.f64 y x)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (-.f64 (log.f64 x) (log.f64 y)))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) |
(*.f64 (+.f64 (*.f64 (/.f64 x y) -1/2) 1) (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))) |
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (/.f64 x y))) |
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (*.f64 (+.f64 (*.f64 (/.f64 x y) -1/2) 1) (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))) |
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))) |
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/4 (pow.f64 (/.f64 x y) 4) (*.f64 (+.f64 (*.f64 (/.f64 x y) -1/2) 1) (/.f64 x y)))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) |
(*.f64 (+.f64 (*.f64 (/.f64 x y) -1/2) 1) (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))) |
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (/.f64 x y))) |
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (*.f64 (+.f64 (*.f64 (/.f64 x y) -1/2) 1) (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))) |
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)))) |
(fma.f64 1/3 (pow.f64 (/.f64 x y) 3) (fma.f64 -1/4 (pow.f64 (/.f64 x y) 4) (*.f64 (+.f64 (*.f64 (/.f64 x y) -1/2) 1) (/.f64 x y)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| ✓ | 0.0b | (/.f64 (neg.f64 y) (+.f64 -1 y)) |
| ✓ | 2.3b | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
Compiled 32 to 20 computations (37.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 1.0ms | y | @ | 0 | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
| 1.0ms | y | @ | inf | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
| 0.0ms | y | @ | -inf | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
| 0.0ms | y | @ | inf | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 1× | batch-egg-rewrite |
| 933× | pow1_binary64 |
| 870× | add-log-exp_binary64 |
| 868× | expm1-log1p-u_binary64 |
| 867× | log1p-expm1-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 195 | 28 |
| 2 | 2779 | 28 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) |
(/.f64 (neg.f64 y) (+.f64 -1 y)) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 y (+.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 y (+.f64 y -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y -1)) (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 -1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 -1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) (sqrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (*.f64 y y))) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3)) (/.f64 1 (+.f64 1 (*.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2)) (/.f64 1 (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1))) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3)) (+.f64 1 (*.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2)) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 3))) (neg.f64 (+.f64 1 (*.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 2))) (neg.f64 (+.f64 (log1p.f64 (/.f64 y (+.f64 y -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))) (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))) (-.f64 1 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) (+.f64 (/.f64 y (+.f64 y -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 y (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 y (+.f64 y -1)))))))))) |
| 1× | egg-herbie |
| 420× | associate-+l-_binary64 |
| 324× | unsub-neg_binary64 |
| 300× | associate--l+_binary64 |
| 278× | sub-neg_binary64 |
| 273× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 606 |
| 1 | 225 | 516 |
| 2 | 681 | 508 |
| 3 | 2374 | 506 |
| 4 | 6644 | 506 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (pow.f64 y 2)))) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 y (*.f64 1/2 (pow.f64 y 2))))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
y |
(+.f64 y (pow.f64 y 2)) |
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2))) |
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4)))) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y))))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 y (*.f64 1/2 (*.f64 y y))) |
(fma.f64 1/2 (*.f64 y y) y) |
(fma.f64 y (*.f64 y 1/2) y) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (pow.f64 y 2)))) |
(fma.f64 1/3 (pow.f64 y 3) (+.f64 y (*.f64 1/2 (*.f64 y y)))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/2 (*.f64 y y) y)) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) y)) |
(fma.f64 y (*.f64 y 1/2) (fma.f64 1/3 (pow.f64 y 3) y)) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 y (*.f64 1/2 (pow.f64 y 2))))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (+.f64 y (*.f64 1/2 (*.f64 y y))))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) y))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/4 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/2) y))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 y (*.f64 y 1/2) (fma.f64 1/4 (pow.f64 y 4) y))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))) |
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (log.f64 -1)) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1/2 y) y) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) |
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (log.f64 -1)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1/2 y) y) (log.f64 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
y |
(+.f64 y (pow.f64 y 2)) |
(+.f64 y (*.f64 y y)) |
(fma.f64 y y y) |
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2))) |
(+.f64 (pow.f64 y 3) (+.f64 y (*.f64 y y))) |
(+.f64 (pow.f64 y 3) (fma.f64 y y y)) |
(+.f64 y (*.f64 y (fma.f64 y y y))) |
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4)))) |
(+.f64 (+.f64 (pow.f64 y 3) y) (+.f64 (*.f64 y y) (pow.f64 y 4))) |
(+.f64 y (+.f64 (fma.f64 y y (pow.f64 y 4)) (pow.f64 y 3))) |
(*.f64 (fma.f64 y y 1) (fma.f64 y y y)) |
(*.f64 (fma.f64 y y y) (fma.f64 y y 1)) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))) |
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y))) |
(+.f64 -1 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y)))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 (*.f64 y y))))) |
(-.f64 (/.f64 -1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 y)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3)))) |
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y))))) |
(-.f64 (/.f64 -1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (+.f64 -1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y))) |
(+.f64 -1 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y)))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 (*.f64 y y))))) |
(-.f64 (/.f64 -1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 1 y)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 3)))) |
(+.f64 -1 (+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))))) |
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (neg.f64 y)) |
(-.f64 1 y) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (neg.f64 y))) |
(+.f64 1 (-.f64 (*.f64 y (*.f64 y -1/2)) y)) |
(-.f64 (fma.f64 y (*.f64 y -1/2) 1) y) |
(fma.f64 y (*.f64 y -1/2) (-.f64 1 y)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y)))) |
(+.f64 1 (fma.f64 (*.f64 y y) -1/2 (-.f64 (*.f64 (pow.f64 y 3) -1/3) y))) |
(+.f64 (-.f64 1 y) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))) |
(fma.f64 y (*.f64 y (+.f64 -1/2 (*.f64 y -1/3))) (-.f64 1 y)) |
(-.f64 1 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) |
(-.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1)))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (log.f64 -1))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 -1))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y))))) |
(-.f64 (-.f64 1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (/.f64 1/2 y) y))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (/.f64 -1/2 (*.f64 y y)) (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) 1))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (log.f64 -1) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/3 (pow.f64 y 3))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3)))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (log.f64 -1))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 -1 y))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/2 (*.f64 y y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y))))) |
(-.f64 (-.f64 1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (/.f64 1/2 y) y))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (/.f64 -1/2 (*.f64 y y)) (+.f64 (log.f64 (/.f64 -1 y)) (-.f64 (/.f64 1 y) 1))) |
(-.f64 1 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) (/.f64 1/3 (pow.f64 y 3))))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3)))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
Compiled 3777 to 2761 computations (26.9% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 262 | 12 | 274 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 263 | 23 | 286 |
| Status | Error | Program |
|---|---|---|
| ✓ | 39.5b | (-.f64 1 y) |
| ✓ | 39.8b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| ▶ | 38.8b | (+.f64 (neg.f64 (log1p.f64 x)) 1) |
| 40.2b | (-.f64 1 (fma.f64 y (*.f64 y 1/2) y)) | |
| 37.0b | (-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) | |
| 44.7b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) | |
| ✓ | 23.9b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ✓ | 17.4b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 37.0b | (-.f64 1 (/.f64 x (-.f64 y 1))) |
| ▶ | 37.8b | (+.f64 1 x) |
| ▶ | 62.0b | (-.f64 1 (log1p.f64 (+.f64 -1 (/.f64 -1 y)))) |
| 38.3b | 1 | |
| 49.9b | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) | |
| ✓ | 16.8b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 49.0b | (-.f64 1 (/.f64 x y)) | |
| 49.2b | (-.f64 1 (log.f64 (/.f64 -1 y))) | |
| ▶ | 37.0b | (-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
| ✓ | 44.0b | (-.f64 1 (log1p.f64 (/.f64 x y))) |
| 56.0b | (-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) | |
| ✓ | 22.9b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| ▶ | 38.6b | (-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
| 39.4b | (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) | |
| 38.6b | (-.f64 1 (-.f64 y x)) |
Compiled 358 to 283 computations (20.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (+.f64 y -1)) | |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 y -1)) x) |
Compiled 30 to 22 computations (26.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 (+.f64 y -1)) x) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 (+.f64 y -1)) x) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 (+.f64 y -1)) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (+.f64 y -1)) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (+.f64 y -1)) x) |
| 1× | batch-egg-rewrite |
| 800× | pow1_binary64 |
| 742× | add-log-exp_binary64 |
| 741× | log1p-expm1-u_binary64 |
| 741× | expm1-log1p-u_binary64 |
| 728× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 7 |
| 1 | 163 | 7 |
| 2 | 2000 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 y -1)) x) |
| 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 1 (/.f64 (+.f64 y -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 y -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 y -1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (+.f64 1 (neg.f64 y)))))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 y -1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 y -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 y -1)))))))) |
| 1× | egg-herbie |
| 532× | fma-def_binary64 |
| 430× | fma-neg_binary64 |
| 390× | distribute-rgt-out--_binary64 |
| 357× | 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 | 846 | 262 |
| 4 | 3683 | 259 |
| 5 | 6800 | 259 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(/.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)) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 -1 x (neg.f64 (*.f64 x y))) |
(-.f64 (neg.f64 x) (*.f64 x y)) |
(*.f64 x (-.f64 -1 y)) |
(neg.f64 (fma.f64 x y x)) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 -1 x (*.f64 -1 (+.f64 (*.f64 x (*.f64 y y)) (*.f64 x y)))) |
(-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y y) y))) x) |
(neg.f64 (fma.f64 x (fma.f64 y y y) x)) |
(*.f64 x (-.f64 -1 (fma.f64 y y y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 -1 (*.f64 x (pow.f64 y 3)) (fma.f64 -1 x (*.f64 -1 (+.f64 (*.f64 x (*.f64 y y)) (*.f64 x y))))) |
(-.f64 (-.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y y) y))) x) (*.f64 x (pow.f64 y 3))) |
(neg.f64 (+.f64 (*.f64 x (fma.f64 y y 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 x y) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))) |
(/.f64 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 x y) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (+.f64 -1 y)) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
Compiled 37 to 21 computations (43.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 681× | pow1_binary64 |
| 632× | add-log-exp_binary64 |
| 632× | log1p-expm1-u_binary64 |
| 632× | expm1-log1p-u_binary64 |
| 619× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 171 | 7 |
| 2 | 2550 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (*.f64 x y)) 2) (/.f64 1 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x y))) 2) (cbrt.f64 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x y)) (pow.f64 (+.f64 x (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (*.f64 x y)) 2) (+.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x y)) 2)) (+.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (+.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x x))))) |
| 1× | egg-herbie |
| 177× | fma-def_binary64 |
| 69× | fma-neg_binary64 |
| 25× | distribute-rgt-in_binary64 |
| 21× | sub-neg_binary64 |
| 18× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 111 |
| 1 | 34 | 111 |
| 2 | 57 | 99 |
| 3 | 102 | 99 |
| 4 | 191 | 99 |
| 5 | 290 | 99 |
| 6 | 414 | 99 |
| 7 | 548 | 99 |
| 8 | 550 | 99 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 -1 (*.f64 (+.f64 1 y) x)) |
(*.f64 -1 (*.f64 (+.f64 1 y) x)) |
(*.f64 -1 (*.f64 (+.f64 1 y) x)) |
(*.f64 -1 (*.f64 (+.f64 1 y) x)) |
(*.f64 -1 x) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 (-.f64 (*.f64 -1 y) 1) x) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 -1 (*.f64 (+.f64 1 y) x)) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 -1 (*.f64 (+.f64 1 y) x)) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 -1 (*.f64 (+.f64 1 y) x)) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 -1 (*.f64 (+.f64 1 y) x)) |
(*.f64 (fma.f64 -1 y -1) x) |
(*.f64 x (fma.f64 -1 y -1)) |
(*.f64 x (-.f64 -1 y)) |
(*.f64 -1 x) |
(neg.f64 x) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (neg.f64 (log1p.f64 x)) 1) |
Compiled 14 to 7 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (neg.f64 (log1p.f64 x)) 1) |
| 0.0ms | x | @ | -inf | (+.f64 (neg.f64 (log1p.f64 x)) 1) |
| 0.0ms | x | @ | inf | (+.f64 (neg.f64 (log1p.f64 x)) 1) |
| 1× | batch-egg-rewrite |
| 485× | pow1_binary64 |
| 473× | add-sqr-sqrt_binary64 |
| 452× | expm1-log1p-u_binary64 |
| 451× | add-log-exp_binary64 |
| 451× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 123 | 6 |
| 2 | 1582 | 6 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (log1p.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) -1)) (/.f64 1 (+.f64 (log1p.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 x) 1)) (sqrt.f64 (+.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 (log1p.f64 x) 1) (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) -1) (/.f64 1 (+.f64 (log1p.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (log1p.f64 x) 1) (pow.f64 (log1p.f64 x) 2)) (+.f64 1 (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 x) -1) (fma.f64 (log1p.f64 x) (log1p.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 (log1p.f64 x) 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 (pow.f64 (log1p.f64 x) 2) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) -1) (+.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (+.f64 (log1p.f64 x) 1) (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) -1)) (neg.f64 (+.f64 (log1p.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (E.f64) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log1p.f64 x) 1))))) |
| 1× | egg-herbie |
| 815× | sub-neg_binary64 |
| 495× | fma-def_binary64 |
| 355× | associate--r+_binary64 |
| 312× | associate-+l-_binary64 |
| 307× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 205 |
| 1 | 149 | 176 |
| 2 | 425 | 172 |
| 3 | 1494 | 167 |
| 4 | 5445 | 167 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(fma.f64 x (fma.f64 x 1/2 -1) 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 1 (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) 1) x)) |
(fma.f64 (*.f64 x x) (fma.f64 x -1/3 1/2) (-.f64 1 x)) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))) |
(-.f64 1 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))) |
(-.f64 1 (+.f64 (/.f64 1 x) (log.f64 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (log.f64 x))) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))) |
(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (log.f64 x)))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 -1 x) (log.f64 x)))) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 1/3 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (-.f64 (/.f64 -1 x) (log.f64 x)) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 (/.f64 -1 x) (log.f64 x)) (/.f64 -1/3 (pow.f64 x 3))))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))) |
(-.f64 1 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))) |
(-.f64 1 (+.f64 (/.f64 1 x) (log.f64 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (log.f64 x))) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))) |
(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (log.f64 x)))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 -1 x) (log.f64 x)))) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))) |
(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 1/3 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (-.f64 (/.f64 -1 x) (log.f64 x)) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 (/.f64 -1 x) (log.f64 x)) (/.f64 -1/3 (pow.f64 x 3))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 -1 (/.f64 -1 y)) |
| ✓ | 2.3b | (log1p.f64 (+.f64 -1 (/.f64 -1 y))) |
Compiled 27 to 22 computations (18.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 64.0ms | y | @ | 0 | (log1p.f64 (+.f64 -1 (/.f64 -1 y))) |
| 11.0ms | y | @ | -inf | (log1p.f64 (+.f64 -1 (/.f64 -1 y))) |
| 9.0ms | y | @ | inf | (log1p.f64 (+.f64 -1 (/.f64 -1 y))) |
| 0.0ms | y | @ | 0 | (+.f64 -1 (/.f64 -1 y)) |
| 0.0ms | y | @ | inf | (+.f64 -1 (/.f64 -1 y)) |
| 1× | batch-egg-rewrite |
| 651× | pow1_binary64 |
| 603× | add-log-exp_binary64 |
| 603× | expm1-log1p-u_binary64 |
| 602× | log1p-expm1-u_binary64 |
| 591× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 129 | 16 |
| 2 | 1655 | 16 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (+.f64 -1 (/.f64 -1 y))) |
(+.f64 -1 (/.f64 -1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 0 (/.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 0 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 0 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 -1 y)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 -1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 -1 y)))) 2) (cbrt.f64 (log.f64 (+.f64 0 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 0 (/.f64 -1 y)))) (sqrt.f64 (log.f64 (+.f64 0 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 0 (/.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 0 (/.f64 -1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 0 (/.f64 -1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 0 (/.f64 -1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 0 (/.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 0 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 0 (/.f64 -1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 0 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 0 (/.f64 -1 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (/.f64 -1 y))) (/.f64 (/.f64 1 (*.f64 y y)) (-.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 y))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 y))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 y))) (sqrt.f64 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -1 (pow.f64 y 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 -1 y)) 1) (-.f64 (sqrt.f64 (/.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) (+.f64 -1 (/.f64 -1 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) (-.f64 1 (/.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 -1 (pow.f64 y 3))) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 -1 (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 1 (*.f64 y y))) (-.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (/.f64 -1 (pow.f64 y 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 1 (*.f64 y y)))) (neg.f64 (-.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 y y)) 1) (-.f64 (/.f64 -1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 0 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2) (/.f64 -1 (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 y)) (sqrt.f64 (/.f64 -1 y)) -1))))) |
| 1× | egg-herbie |
| 44× | fma-def_binary64 |
| 33× | fma-neg_binary64 |
| 18× | sub-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 207 |
| 1 | 29 | 141 |
| 2 | 50 | 141 |
| 3 | 66 | 141 |
| 4 | 93 | 141 |
| 5 | 137 | 141 |
| 6 | 178 | 141 |
| 7 | 223 | 141 |
| 8 | 259 | 141 |
| 9 | 285 | 141 |
| 10 | 287 | 141 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(log.f64 (/.f64 -1 y)) |
(log.f64 (/.f64 -1 y)) |
(log.f64 (/.f64 -1 y)) |
(log.f64 (/.f64 -1 y)) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
| Outputs |
|---|
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(log.f64 (/.f64 -1 y)) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 y))) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
-1 |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
(neg.f64 (+.f64 (/.f64 1 y) 1)) |
(+.f64 (neg.f64 (/.f64 1 y)) -1) |
(+.f64 -1 (/.f64 -1 y)) |
Compiled 3024 to 2101 computations (30.5% saved)
28 alts after pruning (18 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 237 | 10 | 247 |
| Fresh | 2 | 8 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 9 | 12 |
| Total | 242 | 28 | 270 |
| Status | Error | Program |
|---|---|---|
| 49.0b | (-.f64 1 (*.f64 (/.f64 1 y) x)) | |
| ✓ | 39.5b | (-.f64 1 y) |
| ✓ | 39.8b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
| 39.6b | (-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) | |
| 55.9b | (-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) | |
| 38.6b | (-.f64 1 (-.f64 (*.f64 x y) x)) | |
| ✓ | 22.9b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 39.3b | (-.f64 1 (*.f64 y (neg.f64 x))) | |
| 44.7b | (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) | |
| ✓ | 23.9b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ✓ | 17.4b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 37.0b | (-.f64 1 (/.f64 x (-.f64 y 1))) |
| 38.5b | (*.f64 (+.f64 (log1p.f64 x) 1) 1) | |
| 60.7b | (-.f64 1 (log.f64 x)) | |
| 37.0b | (-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) | |
| ✓ | 37.8b | (+.f64 1 x) |
| ✓ | 62.0b | (-.f64 1 (log1p.f64 (+.f64 -1 (/.f64 -1 y)))) |
| 37.0b | (-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) | |
| 38.3b | 1 | |
| 49.9b | (-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) | |
| ✓ | 16.8b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 49.0b | (-.f64 1 (/.f64 x y)) | |
| 38.6b | (-.f64 1 (-.f64 y x)) | |
| 38.9b | (-.f64 1 x) | |
| 40.2b | (-.f64 1 (fma.f64 y (*.f64 y 1/2) y)) | |
| 39.4b | (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) | |
| 49.2b | (-.f64 1 (log.f64 (/.f64 -1 y))) | |
| ✓ | 44.0b | (-.f64 1 (log1p.f64 (/.f64 x y))) |
Compiled 254 to 199 computations (21.7% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(*.f64 (+.f64 (log1p.f64 x) 1) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.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 (fma.f64 y (*.f64 y 1/2) y)) |
(-.f64 1 (log1p.f64 (+.f64 -1 (/.f64 -1 y)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) |
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) |
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) |
(-.f64 1 (-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 x y)) -2))) (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (+.f64 y -1)))))) |
| Outputs |
|---|
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
10 calls:
| 231.0ms | x |
| 78.0ms | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 62.0ms | y |
| 53.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 48.0ms | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| Error | Segments | Branch |
|---|---|---|
| 12.1b | 6 | x |
| 0.1b | 3 | y |
| 0.2b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.2b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.2b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.2b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.2b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.2b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.2b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 0.2b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
Compiled 449 to 312 computations (30.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 46.528375435179754 | 538688738977543.3 |
| 25.0ms | -157076181.67332384 | -16942.0635459832 |
Compiled 73 to 58 computations (20.5% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(*.f64 (+.f64 (log1p.f64 x) 1) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.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 (fma.f64 y (*.f64 y 1/2) y)) |
(-.f64 1 (log1p.f64 (+.f64 -1 (/.f64 -1 y)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
(-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) |
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) |
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
10 calls:
| 490.0ms | x |
| 67.0ms | y |
| 66.0ms | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 53.0ms | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 43.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| Error | Segments | Branch |
|---|---|---|
| 12.1b | 6 | x |
| 0.2b | 3 | y |
| 0.2b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.2b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.2b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.2b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.2b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.2b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.2b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 0.2b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
Compiled 410 to 286 computations (30.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 46.528375435179754 | 538688738977543.3 |
| 44.0ms | -6469049543.068372 | -209290246.12307644 |
Compiled 67 to 53 computations (20.9% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(*.f64 (+.f64 (log1p.f64 x) 1) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.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 (fma.f64 y (*.f64 y 1/2) y)) |
(-.f64 1 (log1p.f64 (+.f64 -1 (/.f64 -1 y)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) |
(-.f64 1 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y)))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
2 calls:
| 210.0ms | x |
| 86.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 12.2b | 6 | x |
| 1.1b | 3 | y |
Compiled 253 to 174 computations (31.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 46.528375435179754 | 538688738977543.3 |
| 38.0ms | -157076181.67332384 | -16942.0635459832 |
Compiled 261 to 213 computations (18.4% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(*.f64 (+.f64 (log1p.f64 x) 1) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.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 (fma.f64 y (*.f64 y 1/2) y)) |
(-.f64 1 (log1p.f64 (+.f64 -1 (/.f64 -1 y)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
2 calls:
| 107.0ms | x |
| 59.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.3b | 6 | x |
| 1.2b | 3 | y |
Compiled 217 to 147 computations (32.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.05287827120842584 | 46.528375435179754 |
| 22.0ms | -1.9213271238090197 | -3.139811327237922e-7 |
Compiled 208 to 168 computations (19.2% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(*.f64 (+.f64 (log1p.f64 x) 1) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.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 (fma.f64 y (*.f64 y 1/2) y)) |
(-.f64 1 (log1p.f64 (+.f64 -1 (/.f64 -1 y)))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(-.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:
| 118.0ms | x |
| 86.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.7b | 6 | x |
| 7.7b | 5 | y |
Compiled 209 to 141 computations (32.5% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 164.0ms | 0.05287827120842584 | 46.528375435179754 |
| 209.0ms | -16942.0635459832 | -8.935464743085411 |
| 237.0ms | -1.76809903860172e+49 | -4.167148072839343e+45 |
| 204.0ms | -1.3023190192956007e+100 | -4.809943445309675e+99 |
Compiled 557 to 458 computations (17.8% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(*.f64 (+.f64 (log1p.f64 x) 1) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.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 (/.f64 x y))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
2 calls:
| 119.0ms | x |
| 62.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.7b | 6 | x |
| 8.1b | 5 | y |
Compiled 186 to 126 computations (32.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 277.0ms | 0.009106060332113326 | 0.05287827120842584 |
| 209.0ms | -157076181.67332384 | -16942.0635459832 |
| 276.0ms | -1.76809903860172e+49 | -4.167148072839343e+45 |
| 264.0ms | -1.3023190192956007e+100 | -4.809943445309675e+99 |
Compiled 491 to 414 computations (15.7% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(*.f64 (+.f64 (log1p.f64 x) 1) 1) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
2 calls:
| 109.0ms | x |
| 47.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.1b | 5 | x |
| 12.0b | 2 | y |
Compiled 180 to 123 computations (31.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 402.0ms | -157076181.67332384 | -16942.0635459832 |
Compiled 155 to 135 computations (12.9% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(*.f64 (+.f64 (log1p.f64 x) 1) 1) |
| Outputs |
|---|
(-.f64 1 (log1p.f64 (neg.f64 x))) |
2 calls:
| 65.0ms | x |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 22.9b | 1 | x |
| 22.9b | 1 | y |
Compiled 168 to 113 computations (32.7% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 1 (/.f64 (+.f64 y -1) x))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 y -1)) x)) |
(-.f64 1 (-.f64 (+.f64 1 (+.f64 x (*.f64 x y))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (/.f64 x (+.f64 y -1))) 1)) |
(-.f64 1 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (log.f64 x)) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
| Outputs |
|---|
(-.f64 1 (/.f64 x (-.f64 y 1))) |
2 calls:
| 22.0ms | y |
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 37.0b | 1 | x |
| 37.0b | 1 | y |
Compiled 152 to 104 computations (31.6% saved)
| Inputs |
|---|
1 |
(-.f64 1 x) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (/.f64 x y)) |
(-.f64 1 (-.f64 y x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(-.f64 1 (*.f64 (/.f64 1 y) x)) |
(-.f64 1 (-.f64 (*.f64 x y) x)) |
| Outputs |
|---|
(+.f64 1 x) |
2 calls:
| 6.0ms | y |
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 37.8b | 1 | x |
| 37.8b | 1 | y |
Compiled 48 to 32 computations (33.3% saved)
Total -0.7b remaining (-1.8%)
Threshold costs -0.7b (-1.8%)
| Inputs |
|---|
1 |
(-.f64 1 x) |
| Outputs |
|---|
1 |
2 calls:
| 5.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 38.3b | 1 | x |
| 38.3b | 1 | y |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 29× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 13× | *-commutative_binary64 |
| 13× | neg-sub0_binary64 |
| 13× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 392 |
| 1 | 107 | 392 |
| 2 | 145 | 392 |
| 3 | 175 | 392 |
| 4 | 192 | 392 |
| 5 | 195 | 392 |
| 6 | 196 | 392 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y -1000000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) (if (<=.f64 y 10000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -1000000000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 10000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -1000000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 530000000000000) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -1) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 46) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -4899999999999999669963699070420493536409795763394217486087414302347141535482880674628700399976054784) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y -17499999999999998739061292923666411311370705305600) (-.f64 1 (log1p.f64 (/.f64 x y))) (if (<=.f64 y -9) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 7782220156096217/144115188075855872) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log1p.f64 (/.f64 x y))))))) |
(if (<=.f64 y -4899999999999999669963699070420493536409795763394217486087414302347141535482880674628700399976054784) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y -17499999999999998739061292923666411311370705305600) (-.f64 1 (log1p.f64 (/.f64 x y))) (if (<=.f64 y -17000) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 662929865148937/72057594037927936) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log1p.f64 (/.f64 x y))))))) |
(if (<=.f64 y -17000) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(+.f64 1 x) |
1 |
| Outputs |
|---|
(if (<=.f64 y -1000000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (log1p.f64 (neg.f64 x))))) (if (<=.f64 y 10000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -1000000) (+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) (if (<=.f64 y 10000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -1000000000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 10000000000) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -1000000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 530000000000000) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -1000000) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 530000000000000) (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -1) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 46) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -4899999999999999669963699070420493536409795763394217486087414302347141535482880674628700399976054784) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y -17499999999999998739061292923666411311370705305600) (-.f64 1 (log1p.f64 (/.f64 x y))) (if (<=.f64 y -9) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 7782220156096217/144115188075855872) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log1p.f64 (/.f64 x y))))))) |
(if (<=.f64 y -4899999999999999669963699070420493536409795763394217486087414302347141535482880674628700399976054784) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y -17499999999999998739061292923666411311370705305600) (-.f64 1 (log1p.f64 (/.f64 x y))) (if (<=.f64 y -17000) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 662929865148937/72057594037927936) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log1p.f64 (/.f64 x y))))))) |
(if (<=.f64 y -17000) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (/.f64 x (-.f64 y 1))) |
(-.f64 1 (/.f64 x (+.f64 y -1))) |
(+.f64 1 x) |
1 |
Compiled 282 to 213 computations (24.5% saved)
| 5× | egg-herbie |
| 1264× | fma-neg_binary64 |
| 1264× | fma-neg_binary64 |
| 1264× | fma-neg_binary64 |
| 1110× | fma-def_binary64 |
| 1110× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 22 | 17 |
| 2 | 40 | 17 |
| 3 | 86 | 15 |
| 4 | 203 | 15 |
| 5 | 439 | 15 |
| 6 | 1018 | 15 |
| 7 | 2609 | 15 |
| 8 | 4367 | 15 |
| 9 | 5114 | 15 |
| 10 | 5689 | 15 |
| 11 | 6635 | 15 |
| 0 | 241 | 2996 |
| 1 | 812 | 2479 |
| 2 | 3235 | 2181 |
| 0 | 10 | 18 |
| 1 | 22 | 17 |
| 2 | 40 | 17 |
| 3 | 86 | 15 |
| 4 | 203 | 15 |
| 5 | 439 | 15 |
| 6 | 1018 | 15 |
| 7 | 2609 | 15 |
| 8 | 4367 | 15 |
| 9 | 5114 | 15 |
| 10 | 5689 | 15 |
| 11 | 6635 | 15 |
| 0 | 10 | 18 |
| 1 | 22 | 17 |
| 2 | 40 | 17 |
| 3 | 86 | 15 |
| 4 | 203 | 15 |
| 5 | 439 | 15 |
| 6 | 1018 | 15 |
| 7 | 2609 | 15 |
| 8 | 4367 | 15 |
| 9 | 5114 | 15 |
| 10 | 5689 | 15 |
| 11 | 6635 | 15 |
| 0 | 241 | 2996 |
| 1 | 812 | 2479 |
| 2 | 3235 | 2181 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 4132 to 3245 computations (21.5% saved)
Compiled 262 to 179 computations (31.7% saved)
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