Time bar (total: 8.7s)
| 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)
| 876.0ms | 6423× | body | 256 | valid |
| 360.0ms | 1070× | body | 1024 | valid |
| 160.0ms | 695× | body | 512 | valid |
| 148.0ms | 491× | body | 1024 | invalid |
| 105.0ms | 948× | body | 256 | invalid |
| 99.0ms | 887× | body | 256 | infinite |
| 68.0ms | 340× | body | 512 | invalid |
| 31.0ms | 68× | body | 2048 | valid |
| 1.0ms | 2× | body | 1024 | infinite |
| 0.0ms | 2× | 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 |
|---|---|---|
| ▶ | 16.6b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
Compiled 12 to 9 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (+.f64 y -1)) |
| ✓ | 1.3b | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
Compiled 37 to 20 computations (45.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 2.0ms | y | @ | 0 | (/.f64 (-.f64 x y) (+.f64 y -1)) |
| 1.0ms | y | @ | 0 | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | x | @ | 0 | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1.0ms | x | @ | inf | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1× | 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)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 10 | 260 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 250 | 11 | 261 |
| Status | Error | Program |
|---|---|---|
| ▶ | 16.3b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) |
| ▶ | 15.8b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| ✓ | 16.6b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ▶ | 59.6b | (-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) |
| 16.2b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))) | |
| ▶ | 22.3b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| 36.3b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) | |
| 21.1b | (-.f64 1 (log1p.f64 (neg.f64 x))) | |
| 44.1b | (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) | |
| 56.9b | (-.f64 1 (log1p.f64 (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) 1)))) | |
| ▶ | 64.0b | (-.f64 1 (log1p.f64 -1)) |
Compiled 234 to 187 computations (20.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (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 | (/.f64 x (-.f64 y 1)) |
| 1.0ms | x | @ | 0 | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 1.0ms | y | @ | 0 | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 1.0ms | y | @ | inf | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 1.0ms | x | @ | inf | (/.f64 x (-.f64 y 1)) |
| 1× | batch-egg-rewrite |
| 973× | pow1_binary64 |
| 905× | add-log-exp_binary64 |
| 904× | expm1-log1p-u_binary64 |
| 903× | log1p-expm1-u_binary64 |
| 92× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 177 | 19 |
| 2 | 2428 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 y 1)) |
(-.f64 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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y -1))) 2) (cbrt.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.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 (neg.f64 x) (/.f64 1 (neg.f64 (+.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 (neg.f64 (+.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 log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 1 (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log1p.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 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))) (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 3)) (/.f64 1 (+.f64 1 (+.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2)) (/.f64 1 (+.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2))) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 3)) (+.f64 1 (+.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2)) (+.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 3))) (neg.f64 (+.f64 1 (+.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y -1))) 2))) (neg.f64 (+.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1))))) (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))) (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))) (-.f64 1 (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) (+.f64 1 (/.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 x (+.f64 y -1)))))))))) |
| 1× | egg-herbie |
| 653× | fma-def_binary64 |
| 360× | associate-+l+_binary64 |
| 329× | associate-*r*_binary64 |
| 321× | associate-*l*_binary64 |
| 292× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1015 |
| 1 | 465 | 938 |
| 2 | 1649 | 862 |
| 3 | 7951 | 862 |
| 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)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (+.f64 1 (*.f64 -1 (/.f64 x (-.f64 y 1))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (*.f64 -1 (/.f64 x (-.f64 y 1)))))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1))))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))))) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 1 (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) 1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (*.f64 -6 (/.f64 x (+.f64 1 (*.f64 -1 x)))))))) (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)))))) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (+.f64 x (*.f64 x y))) |
(-.f64 (neg.f64 x) (*.f64 x y)) |
(*.f64 x (-.f64 -1 y)) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 -1 x (*.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))) |
(-.f64 (*.f64 x (*.f64 y (-.f64 -1 y))) (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 (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (/.f64 x y)) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (+.f64 (/.f64 x y) (/.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 (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (/.f64 x y)) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 4))))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (/.f64 x y)) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (+.f64 (/.f64 x y) (/.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 (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (/.f64 x y)) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 4))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 1 (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (+.f64 1 (*.f64 -1 (/.f64 x (-.f64 y 1))))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)) (+.f64 1 (/.f64 (neg.f64 x) (+.f64 y -1)))) |
(fma.f64 1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (-.f64 1 (/.f64 x (+.f64 -1 y)))) |
(fma.f64 1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 -1 y) 2)) x) (-.f64 1 (/.f64 x (+.f64 -1 y)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 y 1) 2))) (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y 1) 3))) (*.f64 -1 (/.f64 x (-.f64 y 1)))))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (pow.f64 (+.f64 y -1) 2)) (+.f64 1 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y -1) 3)) (/.f64 (neg.f64 x) (+.f64 y -1))))) |
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (pow.f64 (+.f64 -1 y) 2) x)) (-.f64 1 (/.f64 x (+.f64 -1 y)))) (/.f64 -1/3 (/.f64 (pow.f64 (+.f64 -1 y) 3) (pow.f64 x 3)))) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 x (pow.f64 (+.f64 -1 y) 2)) x) (fma.f64 -1/3 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) 1)) (/.f64 x (+.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 1 (-.f64 (log.f64 (+.f64 -1 y)) (log.f64 x))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 y x))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 1 x) (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y)))) (/.f64 y x))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 y) x)) (-.f64 (log.f64 (+.f64 -1 y)) (log.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))))) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x))))) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 y x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (/.f64 1 x)) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) (/.f64 y x)))) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (-.f64 1 (/.f64 (+.f64 -1 y) x))) (-.f64 (log.f64 (+.f64 -1 y)) (log.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 (-.f64 y 1)))))) |
(+.f64 1 (-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x))))) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (+.f64 y -1)))) (/.f64 y x)))) |
(+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 -1 y) 3) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (/.f64 1 x))) (-.f64 1 (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 -1 y))) (/.f64 y x)))) |
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (fma.f64 -1/3 (pow.f64 (/.f64 (+.f64 -1 y) x) 3) 1)) (/.f64 (+.f64 -1 y) x)) (-.f64 (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 1 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 -1 y))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) 1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 y -1) x) 1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) |
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 y) x)) (-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 y) x)) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 -1 y))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 y -1) x) 1) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) |
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) 1) (/.f64 (+.f64 -1 y) x)) (-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 y) x)) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 -1 y))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 1) x)) (+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 y 1) 2) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 y -1) x) 1) (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 x 3)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x x))))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 y -1))))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 y) x)) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 -1 y) 3) (pow.f64 x 3)))) (-.f64 (log.f64 (/.f64 -1 (+.f64 -1 y))) (log.f64 (/.f64 -1 x))))) |
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 -1 y) 2) (*.f64 x x)) (fma.f64 -1/3 (pow.f64 (/.f64 (+.f64 -1 y) x) 3) 1)) (/.f64 (+.f64 -1 y) x)) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (+.f64 -1 y))))) |
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 (neg.f64 x) 1) x)) (log1p.f64 (neg.f64 x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (-.f64 1 x)) x) (log1p.f64 (neg.f64 x)))) |
(-.f64 (fma.f64 (/.f64 y (-.f64 1 x)) x 1) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (fma.f64 -2 (/.f64 x (+.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 (neg.f64 x) 1) 2)))) (+.f64 1 (/.f64 y (/.f64 (+.f64 (neg.f64 x) 1) x)))) (log1p.f64 (neg.f64 x))) |
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (-.f64 (*.f64 -2 (/.f64 x (-.f64 1 x))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2)))) 1) (-.f64 (*.f64 (/.f64 y (-.f64 1 x)) x) (log1p.f64 (neg.f64 x)))) |
(-.f64 (fma.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 (/.f64 x (-.f64 1 x)) (-.f64 -2 (/.f64 x (-.f64 1 x))))) (fma.f64 (/.f64 y (-.f64 1 x)) x 1)) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 x (+.f64 1 (*.f64 -1 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))) (*.f64 -6 (/.f64 x (+.f64 1 (*.f64 -1 x)))))))) (/.f64 (*.f64 y x) (+.f64 1 (*.f64 -1 x)))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (fma.f64 -2 (/.f64 x (+.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 (neg.f64 x) 1) 2)))) (+.f64 1 (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)))) (/.f64 y (/.f64 (+.f64 (neg.f64 x) 1) x))))) (log1p.f64 (neg.f64 x))) |
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (-.f64 (*.f64 -2 (/.f64 x (-.f64 1 x))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2)))) 1) (-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 y 3) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2)) -6 (fma.f64 (/.f64 x (-.f64 1 x)) -6 (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (-.f64 1 x) 3) -2))))) (*.f64 (/.f64 y (-.f64 1 x)) x)) (log1p.f64 (neg.f64 x)))) |
(-.f64 (fma.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 (/.f64 x (-.f64 1 x)) (-.f64 -2 (/.f64 x (-.f64 1 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 (/.f64 x (pow.f64 (-.f64 1 x) 2)) x) (/.f64 x (-.f64 1 x)))))) (fma.f64 (/.f64 y (-.f64 1 x)) x 1))) (log1p.f64 (neg.f64 x))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 -1 (/.f64 x y) (*.f64 -1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y))))) |
(+.f64 1 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 (neg.f64 x) y))) |
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) 1) (/.f64 x y)) |
(+.f64 1 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 6 x) (*.f64 -6 (pow.f64 x 2)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 6 x (*.f64 (*.f64 x x) -6))) (pow.f64 y 3)) (fma.f64 -1 (/.f64 x y) (*.f64 -1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)))))) |
(+.f64 1 (fma.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 x 6 (*.f64 x (*.f64 x -6)))) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 (neg.f64 x) y)))) |
(fma.f64 -1/6 (/.f64 (fma.f64 x 6 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 2) -6))) (pow.f64 y 3)) (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) 1) (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 -1 (/.f64 x y) (*.f64 -1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y))))) |
(+.f64 1 (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 (neg.f64 x) y))) |
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) 1) (/.f64 x y)) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 (*.f64 -6 x) (*.f64 -2 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2))) (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 6 (*.f64 x x) (fma.f64 -6 x (*.f64 (pow.f64 x 3) -2))) (pow.f64 y 3)) (fma.f64 -1 (/.f64 x y) (*.f64 -1/2 (/.f64 (fma.f64 2 x (neg.f64 (*.f64 x x))) (*.f64 y y)))))) |
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 (*.f64 x x) 6 (fma.f64 (pow.f64 x 3) -2 (*.f64 x -6))) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) (/.f64 (neg.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)) (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) 1) (/.f64 x y))) |
Compiled 10 to 10 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ✓ | 0.0b | (+.f64 y (log1p.f64 (neg.f64 x))) |
Compiled 22 to 8 computations (63.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 1.0ms | x | @ | inf | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| 1.0ms | x | @ | inf | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 0.0ms | y | @ | inf | (+.f64 y (log1p.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 885× | pow1_binary64 |
| 824× | add-log-exp_binary64 |
| 824× | expm1-log1p-u_binary64 |
| 823× | log1p-expm1-u_binary64 |
| 808× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 174 | 15 |
| 2 | 2405 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 y (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 y (log1p.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) (pow.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) 2) (cbrt.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (log1p.f64 x))) (sqrt.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (-.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y))) (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (log1p.f64 x)) (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 y y) (*.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2)) (-.f64 y (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 y y (*.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (-.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 y y)) (-.f64 (log1p.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (+.f64 y (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 y (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 -1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (+.f64 y (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) 2) (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) (sqrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) (pow.f64 (+.f64 y (log1p.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 2)) (/.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) (pow.f64 (+.f64 y (log1p.f64 x)) 2))) (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 y (log1p.f64 x)) 1) (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 3)) (+.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) (pow.f64 (+.f64 y (log1p.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 2)) (+.f64 (+.f64 y (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 3))) (neg.f64 (+.f64 1 (+.f64 (+.f64 y (log1p.f64 x)) (pow.f64 (+.f64 y (log1p.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 y (log1p.f64 x)) 2))) (neg.f64 (+.f64 (+.f64 y (log1p.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (*.f64 (-.f64 1 y) (-.f64 1 y)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (-.f64 1 y) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 y (log1p.f64 x))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (+.f64 y (log1p.f64 x))) (neg.f64 (+.f64 y (log1p.f64 x)))) (neg.f64 (+.f64 y (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 y) (-.f64 1 y)) (pow.f64 (log1p.f64 x) 2)) (+.f64 (-.f64 1 y) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (+.f64 y (log1p.f64 x))) (neg.f64 (+.f64 y (log1p.f64 x))))) (-.f64 1 (neg.f64 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (+.f64 y (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (+.f64 y (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (+.f64 y (log1p.f64 x))))))))) |
| 1× | egg-herbie |
| 951× | fma-neg_binary64 |
| 592× | sub-neg_binary64 |
| 418× | unsub-neg_binary64 |
| 352× | associate--l+_binary64 |
| 336× | associate--r-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 695 |
| 1 | 252 | 640 |
| 2 | 813 | 636 |
| 3 | 3105 | 636 |
| 4 | 5951 | 636 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (-.f64 1 x)) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
y |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
y |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 y (log.f64 (-.f64 1 x))) |
y |
(+.f64 y (*.f64 -1 x)) |
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
(-.f64 1 (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(*.f64 -1 y) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(*.f64 -1 y) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 1 y) |
(-.f64 (+.f64 1 x) y) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) y) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) y) |
(-.f64 1 (+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1)))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
| Outputs |
|---|
(log.f64 (-.f64 1 x)) |
(log1p.f64 (neg.f64 x)) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
y |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
y |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
(+.f64 y (log.f64 (-.f64 1 x))) |
(+.f64 (log.f64 (-.f64 1 x)) y) |
(+.f64 (log1p.f64 (neg.f64 x)) y) |
y |
(+.f64 y (*.f64 -1 x)) |
(+.f64 y (neg.f64 x)) |
(-.f64 y x) |
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 y (-.f64 (*.f64 x (*.f64 x -1/2)) x)) |
(fma.f64 x (*.f64 x -1/2) (-.f64 y x)) |
(-.f64 y (fma.f64 x (*.f64 x 1/2) x)) |
(+.f64 y (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3))))) |
(+.f64 y (fma.f64 -1/2 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))) |
(fma.f64 x (*.f64 x -1/2) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) y) x)) |
(+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(+.f64 y (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(+.f64 (log.f64 x) (+.f64 y (log.f64 -1))) |
(+.f64 y (+.f64 (log.f64 x) (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 (log.f64 -1) (+.f64 (log.f64 x) (/.f64 -1 x)))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (+.f64 y (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 y (-.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 y (-.f64 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))) |
(-.f64 (+.f64 y (log.f64 -1)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 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 y (log.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 y (-.f64 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 (-.f64 (+.f64 y (log.f64 -1)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x)))) (/.f64 -1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) y) |
(-.f64 y (log.f64 (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (/.f64 1 x)) |
(+.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (/.f64 -1 x)) |
(+.f64 y (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (/.f64 1/2 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (-.f64 (-.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 y (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) |
(-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))) (-.f64 (-.f64 y (log.f64 (/.f64 -1 x))) (/.f64 1/3 (pow.f64 x 3)))) |
(-.f64 y (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 (/.f64 -1 x))))) |
(-.f64 1 (log.f64 (-.f64 1 x))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(-.f64 (+.f64 1 (*.f64 -1 y)) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log.f64 (-.f64 1 x))) |
(-.f64 (-.f64 1 y) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) y)) |
(-.f64 1 y) |
(-.f64 (+.f64 1 x) y) |
(+.f64 1 (-.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) y) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) x) y)) |
(+.f64 (fma.f64 (*.f64 x x) 1/2 x) (-.f64 1 y)) |
(+.f64 x (-.f64 (fma.f64 x (*.f64 x 1/2) 1) y)) |
(+.f64 (-.f64 x y) (fma.f64 x (*.f64 x 1/2) 1)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) y) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x)) y)) |
(+.f64 1 (-.f64 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) 1/3 x)) y)) |
(+.f64 (-.f64 1 y) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 x (*.f64 x 1/2) x))) |
(+.f64 (-.f64 1 y) (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/3 x))) |
(-.f64 1 (+.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))) |
(-.f64 1 (+.f64 y (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))) |
(-.f64 (-.f64 (-.f64 1 y) (log.f64 -1)) (log.f64 x)) |
(-.f64 1 (+.f64 (log.f64 x) (+.f64 y (log.f64 -1)))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1)))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1)))) |
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (-.f64 1 y) (log.f64 -1)) (log.f64 x))) |
(-.f64 (/.f64 1 x) (-.f64 (+.f64 y (log.f64 -1)) (-.f64 1 (log.f64 x)))) |
(+.f64 (-.f64 (/.f64 1 x) (+.f64 y (log.f64 -1))) (-.f64 1 (log.f64 x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 y (log.f64 -1))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (+.f64 y (log.f64 -1)))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (-.f64 (-.f64 1 y) (log.f64 -1)) (log.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x))) (+.f64 y (+.f64 (log.f64 -1) -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 y (log.f64 -1)))) |
(-.f64 (+.f64 (+.f64 1 (/.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)) (+.f64 y (log.f64 -1)))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (-.f64 (-.f64 (-.f64 1 y) (log.f64 -1)) (log.f64 x))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (-.f64 (-.f64 1 y) (log.f64 -1)) (log.f64 x)))) |
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (log.f64 x) (+.f64 y (log.f64 -1))))))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) y)) |
(-.f64 1 (-.f64 y (log.f64 (/.f64 -1 x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 1 y)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) y)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (-.f64 y (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 1 x) y) (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (+.f64 (/.f64 1 x) (-.f64 (log.f64 (/.f64 -1 x)) y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) y))) |
(+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (-.f64 (/.f64 1 x) (-.f64 y (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (-.f64 (/.f64 1 x) y) (log.f64 (/.f64 -1 x))))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (-.f64 1 y))) (log.f64 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) y)) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) y)) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 y (log.f64 (/.f64 -1 x)))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 1 x) y) (log.f64 (/.f64 -1 x)))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (-.f64 1 y))) (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)) |
| ✓ | 3.8b | (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 | @ | 0 | (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))) |
| 0.0ms | y | @ | 0 | (-.f64 1 (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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#<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) (+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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> (2) ((x fma.f64 -1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))))) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))) (#(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 |
| 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))))) |
(+.f64 (-.f64 (log.f64 (/.f64 -1 y)) (/.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) y)) (fma.f64 1/2 (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) (*.f64 y y)) (log1p.f64 (neg.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 (*.f64 y y)) (log1p.f64 (neg.f64 x)))) |
(+.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)))))) |
(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 1/2 (/.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)))))) |
(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 (log.f64 (/.f64 -1 y)) (/.f64 (/.f64 (-.f64 1 x) (+.f64 -1 x)) y)) (fma.f64 1/2 (/.f64 (-.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 -1 x) 2))) (*.f64 y y)) (log1p.f64 (neg.f64 x))))) |
(+.f64 (/.f64 1/3 (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 1 y) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 (*.f64 y y)) (log1p.f64 (neg.f64 x))))) |
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) |
(log1p.f64 (/.f64 (neg.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 (/.f64 (neg.f64 y) (+.f64 y -1))) (/.f64 x (*.f64 (+.f64 y -1) (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1)))))) |
(+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))) (/.f64 x (*.f64 (+.f64 -1 y) (-.f64 1 (/.f64 y (+.f64 -1 y)))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 y -1) (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))))) (+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))) (*.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 x (*.f64 (+.f64 -1 y) (-.f64 1 (/.f64 y (+.f64 -1 y))))) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (-.f64 1 (/.f64 y (+.f64 -1 y))) 2)) (/.f64 x (pow.f64 (+.f64 -1 y) 2))) (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1))))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2))))))) |
(+.f64 (/.f64 x (*.f64 (+.f64 y -1) (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 y) (+.f64 y -1))) 3) (pow.f64 (+.f64 y -1) 3))) (+.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))) (*.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))))))) |
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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) |
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(-.f64 (*.f64 (-.f64 1 x) (+.f64 y (*.f64 y (fma.f64 y y y)))) x) |
-1 |
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-1 |
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(-.f64 (/.f64 x (+.f64 -1 y)) (/.f64 y (+.f64 -1 y))) |
-1 |
(-.f64 (*.f64 -1 y) 1) |
(fma.f64 -1 y -1) |
(-.f64 -1 y) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) 1) |
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(fma.f64 -1 (fma.f64 y y y) -1) |
(-.f64 -1 (fma.f64 y y y)) |
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(+.f64 (fma.f64 -1 (*.f64 y y) (fma.f64 -1 (pow.f64 y 3) (neg.f64 y))) -1) |
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(+.f64 -1 (-.f64 (neg.f64 y) (*.f64 y (fma.f64 y y y)))) |
(/.f64 1 y) |
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(-.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)) |
| 13.0ms | 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 11462 to 8147 computations (28.9% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 568 | 10 | 578 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 575 | 14 | 589 |
| Status | Error | Program |
|---|---|---|
| 40.3b | (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) | |
| ▶ | 16.2b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))) |
| ✓ | 22.3b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ▶ | 50.2b | (-.f64 1 (log.f64 (/.f64 -1 y))) |
| ▶ | 48.1b | (-.f64 1 (/.f64 x y)) |
| 35.7b | (-.f64 1 y) | |
| 36.3b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) | |
| 43.2b | (-.f64 1 (log1p.f64 (/.f64 x y))) | |
| 34.7b | (-.f64 (+.f64 1 x) y) | |
| ▶ | 61.6b | (neg.f64 y) |
| ✓ | 15.8b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| 21.1b | (-.f64 1 (log1p.f64 (neg.f64 x))) | |
| ▶ | 33.2b | (-.f64 1 (/.f64 x (+.f64 -1 y))) |
| 34.4b | 1 |
Compiled 208 to 162 computations (22.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))) |
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)) |
| ✓ | 3.8b | (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))) |
| ✓ | 10.8b | (/.f64 (-.f64 x y) (fma.f64 y y -1)) |
Compiled 64 to 34 computations (46.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))) |
| 3.0ms | x | @ | 0 | (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))) |
| 3.0ms | x | @ | 0 | (-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))) |
| 3.0ms | x | @ | inf | (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))) |
| 2.0ms | y | @ | -inf | (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))) |
| 1× | batch-egg-rewrite |
| 670× | log-prod_binary64 |
| 445× | fma-def_binary64 |
| 360× | pow2_binary64 |
| 253× | fma-neg_binary64 |
| 251× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 69 |
| 1 | 270 | 48 |
| 2 | 4043 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (fma.f64 y y -1)) |
(log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1))) |
(*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (fma.f64 y y -1)) (neg.f64 (/.f64 y (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (*.f64 (/.f64 1 (fma.f64 y y -1)) 1))))) 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(sqrt.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y y -1)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y y -1)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 y y -1))) (/.f64 (-.f64 x y) (sqrt.f64 (fma.f64 y 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)) (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (fma.f64 y y -1)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (fma.f64 y y -1)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (fma.f64 y y -1))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 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-1)))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 2) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) 1)))) (#(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 |
| 736× | distribute-rgt-in_binary64 |
| 690× | distribute-lft-in_binary64 |
| 308× | sub-neg_binary64 |
| 245× | fma-def_binary64 |
| 236× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 5016 |
| 1 | 1018 | 4279 |
| 2 | 4146 | 3950 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(/.f64 x (-.f64 (pow.f64 y 2) 1)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(/.f64 x (-.f64 (pow.f64 y 2) 1)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(*.f64 -1 x) |
(+.f64 y (*.f64 -1 x)) |
(+.f64 y (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))) |
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))))) |
(+.f64 (*.f64 (+.f64 (/.f64 y (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1))) (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)))) x) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 y (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1))) (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)))) x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 2) (pow.f64 x 2)) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))))))) |
(+.f64 (*.f64 (+.f64 (/.f64 y (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1))) (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)))) x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 3) (pow.f64 x 3)) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 2) (pow.f64 x 2)) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))))))) |
(+.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1)))) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) (*.f64 (-.f64 (pow.f64 y 2) 1) x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) x))))) |
(+.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) (*.f64 (-.f64 (pow.f64 y 2) 1) x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) x)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2) (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 2) (pow.f64 x 2)))))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 3) (pow.f64 x 3)))) (+.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) (*.f64 (-.f64 (pow.f64 y 2) 1) x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) x)) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2) (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 2) (pow.f64 x 2))))))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (/.f64 (+.f64 1 y) (-.f64 (pow.f64 y 2) 1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)) (*.f64 (+.f64 1 y) x)) (log.f64 (*.f64 -1 (/.f64 (+.f64 1 y) (-.f64 (pow.f64 y 2) 1)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2) (pow.f64 (-.f64 (pow.f64 y 2) 1) 2)) (*.f64 (pow.f64 (+.f64 1 y) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)) (*.f64 (+.f64 1 y) x)) (log.f64 (*.f64 -1 (/.f64 (+.f64 1 y) (-.f64 (pow.f64 y 2) 1))))))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 3) (pow.f64 (-.f64 (pow.f64 y 2) 1) 3)) (*.f64 (pow.f64 (+.f64 1 y) 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2) (pow.f64 (-.f64 (pow.f64 y 2) 1) 2)) (*.f64 (pow.f64 (+.f64 1 y) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)) (*.f64 (+.f64 1 y) x)) (log.f64 (*.f64 -1 (/.f64 (+.f64 1 y) (-.f64 (pow.f64 y 2) 1)))))))) |
(log.f64 (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 x 1)) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 x 1)) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))))) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 x 1)) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 6 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))))))) (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 y)) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (+.f64 1 (*.f64 -1 x))) (/.f64 1 (+.f64 1 (*.f64 -1 x)))) y)) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (+.f64 1 (*.f64 -1 x))) (/.f64 1 (+.f64 1 (*.f64 -1 x)))) y)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x)))))) |
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 x 1) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -6 (/.f64 (-.f64 x 1) (+.f64 1 (*.f64 -1 x)))) (*.f64 2 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 x (+.f64 1 (*.f64 -1 x))) (/.f64 1 (+.f64 1 (*.f64 -1 x)))) y)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))))) |
(*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) x)) |
(/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y (-.f64 x 1))))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y (-.f64 x 1)))))) |
-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 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)) 1) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))))) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (/.f64 y (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1))) (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)))) x))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 2) (pow.f64 x 2)) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (/.f64 y (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1))) (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)))) x)))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 2) (pow.f64 x 2)) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 y (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1))) (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)))) x)) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 3) (pow.f64 x 3)) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 3)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))))) |
(-.f64 1 (+.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1)))) (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) (-.f64 (pow.f64 y 2) 1)))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))))) x)) 1) (+.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1)))) (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) (-.f64 (pow.f64 y 2) 1)))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))))) x)) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2) (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 2) (pow.f64 x 2)))))) (+.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1)))) (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (*.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) (-.f64 (pow.f64 y 2) 1)))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))))) x)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2) (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 2) (pow.f64 x 2)))) (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1))) 3) (pow.f64 x 3))))))) (+.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1)))) (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (/.f64 (+.f64 1 y) (-.f64 (pow.f64 y 2) 1)))))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)) (*.f64 (+.f64 1 y) x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (/.f64 (+.f64 1 y) (-.f64 (pow.f64 y 2) 1)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2) (pow.f64 (-.f64 (pow.f64 y 2) 1) 2)) (*.f64 (pow.f64 (+.f64 1 y) 2) (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)) (*.f64 (+.f64 1 y) x))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (/.f64 (+.f64 1 y) (-.f64 (pow.f64 y 2) 1)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 2) (pow.f64 (-.f64 (pow.f64 y 2) 1) 2)) (*.f64 (pow.f64 (+.f64 1 y) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) 3) (pow.f64 (-.f64 (pow.f64 y 2) 1) 3)) (*.f64 (pow.f64 (+.f64 1 y) 3) (pow.f64 x 3)))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)) (*.f64 (+.f64 1 y) x)))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (/.f64 (+.f64 1 y) (-.f64 (pow.f64 y 2) 1)))))) |
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y (-.f64 x 1)) (+.f64 1 (*.f64 -1 x)))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 x 1)) (+.f64 1 (*.f64 -1 x))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x))))))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 6 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))))))) (+.f64 (/.f64 (*.f64 y (-.f64 x 1)) (+.f64 1 (*.f64 -1 x))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))))))))) (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 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x)))) y))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x)))) y)))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x)))) y)) (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 x 1) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -6 (/.f64 (-.f64 x 1) (+.f64 1 (*.f64 -1 x)))) (*.f64 2 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))))) (pow.f64 y 3)))))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) |
(neg.f64 (/.f64 y (+.f64 (*.f64 y y) -1))) |
(/.f64 (neg.f64 y) (fma.f64 y y -1)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 x (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 x (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 x (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1))) |
(/.f64 x (-.f64 (pow.f64 y 2) 1)) |
(/.f64 x (+.f64 (*.f64 y y) -1)) |
(/.f64 x (fma.f64 y y -1)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 x (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 x (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 x (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1))) |
(/.f64 x (-.f64 (pow.f64 y 2) 1)) |
(/.f64 x (+.f64 (*.f64 y y) -1)) |
(/.f64 x (fma.f64 y y -1)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 x (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 x (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 (pow.f64 y 2) 1))) (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 x (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 x (fma.f64 y y -1)) (/.f64 y (fma.f64 y y -1))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 y (*.f64 -1 x)) |
(+.f64 y (neg.f64 x)) |
(-.f64 y x) |
(+.f64 y (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))) |
(+.f64 y (*.f64 -1 (+.f64 x (*.f64 (*.f64 y y) x)))) |
(-.f64 (-.f64 y x) (*.f64 y (*.f64 y x))) |
(+.f64 y (*.f64 x (-.f64 -1 (*.f64 y y)))) |
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))))) |
(+.f64 (+.f64 (pow.f64 y 3) y) (*.f64 -1 (+.f64 x (*.f64 (*.f64 y y) x)))) |
(+.f64 (-.f64 (-.f64 y x) (*.f64 y (*.f64 y x))) (pow.f64 y 3)) |
(+.f64 (-.f64 y x) (*.f64 (*.f64 y y) (-.f64 y x))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y)) |
(-.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y)) |
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y)) (/.f64 1 (pow.f64 y 3))) |
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y)) |
(-.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y)) |
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y)) (/.f64 1 (pow.f64 y 3))) |
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 -1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))) |
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))))) |
(log1p.f64 (neg.f64 (/.f64 y (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y 1))))) |
(log1p.f64 (/.f64 (neg.f64 y) (/.f64 (fma.f64 y y -1) (+.f64 y 1)))) |
(log1p.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (-.f64 -1 y))) |
(+.f64 (*.f64 (+.f64 (/.f64 y (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1))) (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))) (-.f64 (pow.f64 y 2) 1)))) x) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))))) |
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-1 |
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-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)) 1) |
(fma.f64 -1 (/.f64 (-.f64 1 x) y) -1) |
(-.f64 -1 (/.f64 (-.f64 1 x) y)) |
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(-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 (-.f64 1 x) y)) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 x (*.f64 y y)) (+.f64 (-.f64 -1 (/.f64 (-.f64 1 x) y)) (/.f64 -1 (*.f64 y y)))) |
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(+.f64 (/.f64 x (*.f64 y y)) (-.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) y))) (+.f64 1 (/.f64 1 (*.f64 y y))))) |
(-.f64 (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 (-.f64 1 x) (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
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(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)))))) |
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(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (/.f64 (fma.f64 y y -1) (+.f64 y 1))))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (-.f64 -1 y)))) |
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(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 1 (+.f64 (*.f64 y y) -1))) 2) (*.f64 x x)) (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y 1))))) 2)) (+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 (/.f64 y (*.f64 (+.f64 (*.f64 y y) -1) (+.f64 1 (neg.f64 (/.f64 y (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y 1))))))) (/.f64 1 (*.f64 (+.f64 (*.f64 y y) -1) (+.f64 1 (neg.f64 (/.f64 y (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y 1))))))))) (/.f64 (*.f64 -1/3 (*.f64 (pow.f64 (+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 1 (+.f64 (*.f64 y y) -1))) 3) (pow.f64 x 3))) (pow.f64 (+.f64 1 (neg.f64 (/.f64 y (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y 1))))) 3))))) (log1p.f64 (neg.f64 (/.f64 y (/.f64 (+.f64 (*.f64 y y) -1) (+.f64 y 1)))))) |
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(-.f64 1 (+.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 y 2) 1)) (/.f64 y (-.f64 (pow.f64 y 2) 1)))) (*.f64 -1 (log.f64 (/.f64 1 x))))) |
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(-.f64 (-.f64 1 (log.f64 x)) (log.f64 (+.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 1 (fma.f64 y y -1))))) |
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(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 6 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (+.f64 (*.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))))))) (+.f64 (/.f64 (*.f64 y (-.f64 x 1)) (+.f64 1 (*.f64 -1 x))) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2))) (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1 x)))))))))) (log.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 y 3) (fma.f64 6 (/.f64 (+.f64 x -1) (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 x))) (fma.f64 6 (/.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 -2 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 1 x) 3)))))) (+.f64 (/.f64 y (/.f64 (-.f64 1 x) (+.f64 x -1))) (*.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 2 (/.f64 (-.f64 1 x) (-.f64 1 x))))))) (log1p.f64 (neg.f64 x)))) |
(+.f64 1 (-.f64 (fma.f64 (*.f64 (pow.f64 y 3) (fma.f64 6 (*.f64 1 (/.f64 (+.f64 -1 x) (-.f64 1 x))) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 -1 x) 3) (pow.f64 (-.f64 1 x) 3)) 6))) -1/6 (fma.f64 -1/2 (*.f64 (*.f64 y y) (-.f64 2 (/.f64 (pow.f64 (+.f64 -1 x) 2) (pow.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 y (-.f64 1 x)) (+.f64 -1 x)))) (log1p.f64 (neg.f64 x)))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 y 3) (fma.f64 6 (/.f64 (+.f64 -1 x) (-.f64 1 x)) (fma.f64 -2 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 1 x)) 3) 6))) -1/6 (fma.f64 -1/2 (*.f64 (*.f64 y y) (+.f64 2 (/.f64 (+.f64 -1 x) (-.f64 1 x)))) (*.f64 (/.f64 y (-.f64 1 x)) (+.f64 -1 x)))) (-.f64 1 (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x 1)))) |
(-.f64 1 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1)))) |
(-.f64 1 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y))) |
(+.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 (/.f64 1 y) (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 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (+.f64 (neg.f64 (log.f64 y)) (log.f64 (+.f64 x -1))))) |
(-.f64 (-.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y))) (log.f64 (+.f64 -1 x))) |
(+.f64 (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1/2 (*.f64 y 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)) (+.f64 (log.f64 (-.f64 x 1)) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))) |
(-.f64 (-.f64 1 (/.f64 1 y)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (neg.f64 (log.f64 y))) (+.f64 (log.f64 (+.f64 x -1)) (/.f64 1/3 (pow.f64 y 3))))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (+.f64 (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)) (/.f64 1/3 (pow.f64 y 3))) (log.f64 (+.f64 -1 x)))) |
(-.f64 1 (+.f64 (+.f64 (-.f64 (log.f64 (+.f64 -1 x)) (log.f64 y)) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) (/.f64 1/3 (pow.f64 y 3)))) |
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (-.f64 1 (log.f64 (/.f64 -1 y))) (log1p.f64 (neg.f64 x))) |
(-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x)))) y))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (-.f64 1 x)) y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (/.f64 -1 y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (log1p.f64 (neg.f64 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x)))) y)))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (-.f64 1 x) 2)))) (*.f64 y y)) (neg.f64 (/.f64 (/.f64 (-.f64 1 x) (-.f64 1 x)) y))) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 2 (/.f64 (pow.f64 (+.f64 -1 x) 2) (pow.f64 (-.f64 1 x) 2))) (*.f64 y y)) (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 -1 x) (-.f64 1 x))) (*.f64 y y)) (/.f64 -1 y)) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 -1 x)) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 x))) (/.f64 x (+.f64 1 (*.f64 -1 x)))) y)) (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (-.f64 x 1) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -6 (/.f64 (-.f64 x 1) (+.f64 1 (*.f64 -1 x)))) (*.f64 2 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (+.f64 1 (*.f64 -1 x)) 3))))) (pow.f64 y 3)))))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (-.f64 1 x) 2)))) (*.f64 y y)) (fma.f64 -1 (/.f64 (/.f64 (-.f64 1 x) (-.f64 1 x)) y) (*.f64 1/6 (/.f64 (fma.f64 6 (/.f64 (+.f64 x -1) (-.f64 1 x)) (fma.f64 -6 (/.f64 (+.f64 x -1) (-.f64 1 x)) (*.f64 2 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 1 x) 3))))) (pow.f64 y 3))))) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 2 (/.f64 (pow.f64 (+.f64 -1 x) 2) (pow.f64 (-.f64 1 x) 2))) (*.f64 y y)) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 (*.f64 2 (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 -1 y))) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 -1 x) (-.f64 1 x))) (*.f64 y y)) (fma.f64 1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 1 x)) 3)) 0) (pow.f64 y 3)) (/.f64 -1 y))) (-.f64 1 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))) |
Compiled 5 to 3 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (/.f64 x y)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 1 (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (-.f64 1 (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (-.f64 1 (/.f64 x y)) |
| 1.0ms | y | @ | inf | (-.f64 1 (/.f64 x y)) |
| 1.0ms | y | @ | -inf | (-.f64 1 (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 708× | pow1_binary64 |
| 659× | add-log-exp_binary64 |
| 659× | log1p-expm1-u_binary64 |
| 659× | expm1-log1p-u_binary64 |
| 646× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1714 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 2) (cbrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) (sqrt.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))) (-.f64 1 (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 x y)) (-.f64 1 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 x) y))))))) |
| 1× | egg-herbie |
| 20× | fma-def_binary64 |
| 12× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | associate-+l-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 183 |
| 1 | 15 | 147 |
| 2 | 24 | 147 |
| 3 | 33 | 147 |
| 4 | 44 | 147 |
| 5 | 59 | 147 |
| 6 | 74 | 147 |
| 7 | 91 | 147 |
| 8 | 102 | 147 |
| 9 | 116 | 147 |
| 1× | saturated |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 -1 y)) |
Compiled 21 to 14 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 -1 y)) |
| 1.0ms | y | @ | inf | (/.f64 x (+.f64 -1 y)) |
| 0.0ms | y | @ | -inf | (/.f64 x (+.f64 -1 y)) |
| 0.0ms | y | @ | 0 | (/.f64 x (+.f64 -1 y)) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 -1 y)) |
| 1× | batch-egg-rewrite |
| 739× | pow1_binary64 |
| 687× | add-log-exp_binary64 |
| 687× | log1p-expm1-u_binary64 |
| 687× | expm1-log1p-u_binary64 |
| 674× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1772 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 -1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) (sqrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 y))) (/.f64 x (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 -1 y)))))))) |
| 1× | egg-herbie |
| 542× | fma-def_binary64 |
| 430× | fma-neg_binary64 |
| 389× | distribute-rgt-out--_binary64 |
| 354× | 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 | 843 | 262 |
| 4 | 3695 | 259 |
| 5 | 6805 | 259 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (-.f64 y 1)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
| Outputs |
|---|
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(/.f64 x (-.f64 y 1)) |
(/.f64 x (+.f64 y -1)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x))) |
(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))) |
(-.f64 (*.f64 x (neg.f64 (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 (fma.f64 x y x) (-.f64 -1 (*.f64 y y))) |
(/.f64 x y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 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 (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.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 x y) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (+.f64 (/.f64 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 (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.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))))) |
Compiled 18 to 14 computations (22.2% saved)
Compiled 11905 to 8184 computations (31.3% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 437 | 8 | 445 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 440 | 19 | 459 |
| Status | Error | Program |
|---|---|---|
| ✓ | 22.3b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| ✓ | 50.2b | (-.f64 1 (log.f64 (/.f64 -1 y))) |
| ▶ | 48.4b | (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
| 33.3b | (-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) | |
| ▶ | 34.8b | (-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
| 36.3b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) | |
| 34.0b | (-.f64 1 (neg.f64 x)) | |
| ▶ | 61.8b | (/.f64 (neg.f64 x) y) |
| ✓ | 48.1b | (-.f64 1 (/.f64 x y)) |
| ▶ | 35.7b | (-.f64 1 y) |
| ▶ | 21.1b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| ✓ | 15.8b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| ✓ | 33.2b | (-.f64 1 (/.f64 x (+.f64 -1 y))) |
| 33.2b | (-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) | |
| 40.3b | (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) | |
| 34.3b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (-.f64 -1 y)))) | |
| 43.2b | (-.f64 1 (log1p.f64 (/.f64 x y))) | |
| ✓ | 61.6b | (neg.f64 y) |
| 34.4b | 1 |
Compiled 304 to 226 computations (25.7% 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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 0.0ms | x | @ | 0 | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 519× | pow1_binary64 |
| 506× | add-sqr-sqrt_binary64 |
| 483× | add-log-exp_binary64 |
| 483× | expm1-log1p-u_binary64 |
| 482× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 123 | 6 |
| 2 | 1525 | 6 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 2) (cbrt.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) (sqrt.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x)))) (-.f64 1 (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log1p.f64 x)) (-.f64 1 (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (+.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (log1p.f64 x) (+.f64 1 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 869× | sub-neg_binary64 |
| 502× | fma-neg_binary64 |
| 476× | associate-*l*_binary64 |
| 437× | fma-def_binary64 |
| 429× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 224 |
| 1 | 140 | 204 |
| 2 | 378 | 204 |
| 3 | 1166 | 199 |
| 4 | 3242 | 199 |
| 5 | 7339 | 199 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 1 (fma.f64 x (*.f64 x 1/2) x)) |
(fma.f64 (fma.f64 x 1/2 1) x 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))) |
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/3 (pow.f64 x 3) x))) |
(+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x 1/3 1/2) x)) |
(fma.f64 x (*.f64 x (fma.f64 x 1/3 1/2)) (+.f64 1 x)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 1 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1)) |
(-.f64 1 (+.f64 (log.f64 x) (log.f64 -1))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(+.f64 1 (-.f64 (/.f64 1 x) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))) |
(+.f64 (/.f64 1 x) (-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1))) |
(+.f64 1 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1)))) |
(+.f64 (-.f64 1 (log.f64 x)) (-.f64 (/.f64 1 x) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (-.f64 1 (log.f64 x)) (log.f64 -1))) |
(+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1))) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 1 (-.f64 (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 -1)) (log.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 -1))))) |
(+.f64 (+.f64 (-.f64 (/.f64 1 x) (+.f64 (log.f64 x) (log.f64 -1))) (+.f64 1 (/.f64 1/2 (*.f64 x x)))) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (+.f64 (log.f64 -1) -1)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 -1 (log.f64 x)))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 -1 (log.f64 -1)))) (log.f64 x))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(-.f64 1 (neg.f64 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (log.f64 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (neg.f64 (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (neg.f64 (log.f64 (/.f64 -1 x))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))))) |
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x)))))) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 10 to 4 computations (60% saved)
Compiled 37 to 21 computations (43.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
| ✓ | 14.6b | (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
Compiled 55 to 15 computations (72.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
| 2.0ms | y | @ | inf | (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
| 1× | batch-egg-rewrite |
| 494× | log-prod_binary64 |
| 323× | pow-prod-down_binary64 |
| 257× | fma-def_binary64 |
| 238× | pow2_binary64 |
| 209× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 1 | 235 | 14 |
| 2 | 3897 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (/.f64 x y) (+.f64 1 (/.f64 x y)) 1)) (/.f64 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 x y) (+.f64 1 (/.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (cbrt.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 4) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (/.f64 1 (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) (hypot.f64 1 (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 -1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (+.f64 1 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (+.f64 1 (/.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) -2) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (/.f64 x y)) -1/2) (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) (hypot.f64 1 (sqrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2)) (/.f64 (+.f64 1 (/.f64 x y)) (cbrt.f64 (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) 1) (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 4) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2)) (cbrt.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 4) (hypot.f64 1 (sqrt.f64 (/.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (hypot.f64 1 (sqrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 1 (pow.f64 (/.f64 x y) 3))) (fma.f64 (/.f64 x y) (+.f64 1 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 6) (pow.f64 (+.f64 1 (/.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 x y) (+.f64 1 (/.f64 x y)) 1) (+.f64 1 (pow.f64 (/.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) (+.f64 -1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 6) (pow.f64 (+.f64 1 (/.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) (hypot.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 (/.f64 x y))) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 x y)) (pow.f64 (+.f64 1 (/.f64 x y)) -2) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (neg.f64 (cbrt.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (/.f64 x y))) (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 (/.f64 x y))) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 x y)))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 x y)))) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 x y)))) (sqrt.f64 (/.f64 1 (+.f64 1 (/.f64 x y)))) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (+.f64 1 (pow.f64 (/.f64 x y) 2))) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (+.f64 1 (/.f64 x y))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (+.f64 1 (/.f64 x y))) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 (/.f64 x y)) -2) (+.f64 1 (/.f64 x y)) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 x y) 3))) (fma.f64 (/.f64 x y) (+.f64 1 (/.f64 x y)) 1) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 x y)) (-.f64 1 (pow.f64 (/.f64 x y) 6))) (+.f64 (+.f64 1 (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 2)) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 (pow.f64 (/.f64 x y) 4))) (+.f64 1 (pow.f64 (/.f64 x y) 2)) (neg.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 -1 (/.f64 x y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (pow.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 2 (log1p.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (*.f64 2 (log1p.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (/.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 4) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 x y) 6)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 x y) 4)) (pow.f64 (/.f64 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 x y) 4)) (pow.f64 (+.f64 1 (/.f64 x y)) -2) -1))))) |
| 1× | egg-herbie |
| 671× | times-frac_binary64 |
| 650× | unswap-sqr_binary64 |
| 406× | fma-neg_binary64 |
| 325× | associate-/l*_binary64 |
| 212× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 423 |
| 1 | 26 | 387 |
| 2 | 47 | 387 |
| 3 | 114 | 387 |
| 4 | 454 | 387 |
| 5 | 3347 | 387 |
| 6 | 5099 | 387 |
| 7 | 6111 | 387 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (neg.f64 (/.f64 x y))) |
(-.f64 1 (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
Compiled 3175 to 1810 computations (43% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 5 | 206 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 10 | 10 |
| Total | 204 | 21 | 225 |
| Status | Error | Program |
|---|---|---|
| ✓ | 22.3b | (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| 34.0b | (+.f64 1 x) | |
| ✓ | 50.2b | (-.f64 1 (log.f64 (/.f64 -1 y))) |
| 48.4b | (+.f64 (/.f64 x y) 1) | |
| 33.3b | (-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) | |
| ✓ | 34.8b | (-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
| 36.3b | (-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 y)))) | |
| 35.2b | (+.f64 (neg.f64 (log1p.f64 x)) 1) | |
| 43.2b | (-.f64 1 (log1p.f64 (/.f64 x y))) | |
| ✓ | 48.1b | (-.f64 1 (/.f64 x y)) |
| ✓ | 35.7b | (-.f64 1 y) |
| ✓ | 21.1b | (-.f64 1 (log1p.f64 (neg.f64 x))) |
| ✓ | 15.8b | (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
| ✓ | 33.2b | (-.f64 1 (/.f64 x (+.f64 -1 y))) |
| 33.2b | (-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) | |
| 48.5b | (/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) | |
| 40.3b | (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) | |
| 34.3b | (-.f64 1 (log1p.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (-.f64 -1 y)))) | |
| ✓ | 61.8b | (/.f64 (neg.f64 x) y) |
| ✓ | 61.6b | (neg.f64 y) |
| 34.4b | 1 |
Compiled 188 to 145 computations (22.9% saved)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (neg.f64 x)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x y) 1) |
(-.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 x) y) |
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) |
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(-.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 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log.f64 (/.f64 (+.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 (-.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 (log1p.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (-.f64 -1 y)))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
(-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
10 calls:
| 186.0ms | x |
| 83.0ms | y |
| 31.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 29.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 20.0ms | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| Error | Segments | Branch |
|---|---|---|
| 11.6b | 4 | x |
| 0.0b | 3 | y |
| 0.0b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.0b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.0b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.0b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.0b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.0b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.0b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 0.0b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
Compiled 368 to 242 computations (34.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.21725631788321617 | 2.6689782697313744e+48 |
| 21.0ms | -8.239583558112728e+31 | -3.3959631664542064e+27 |
Compiled 77 to 59 computations (23.4% saved)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (neg.f64 x)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x y) 1) |
(-.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 x) y) |
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) |
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(-.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 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log.f64 (/.f64 (+.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 (-.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 (log1p.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (-.f64 -1 y)))) |
| Outputs |
|---|
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
10 calls:
| 62.0ms | x |
| 46.0ms | y |
| 29.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 29.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 21.0ms | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| Error | Segments | Branch |
|---|---|---|
| 11.8b | 4 | x |
| 0.0b | 3 | y |
| 0.0b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.0b | 2 | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 0.0b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.0b | 2 | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 0.0b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.0b | 2 | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 0.0b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 0.0b | 2 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
Compiled 353 to 233 computations (34% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9458176232280602 | 0.9999999903465862 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (neg.f64 x)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x y) 1) |
(-.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 x) y) |
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) |
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(-.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 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) |
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))) |
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 -1 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:
| 51.0ms | x |
| 41.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.9b | 4 | x |
| 0.3b | 3 | y |
Compiled 183 to 112 computations (38.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.21725631788321617 | 2.6689782697313744e+48 |
| 22.0ms | -3.3959631664542064e+27 | -3.4467547572416784e-7 |
Compiled 292 to 236 computations (19.2% saved)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (neg.f64 x)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x y) 1) |
(-.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 x) y) |
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) |
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(-.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 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
2 calls:
| 86.0ms | x |
| 36.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.0b | 4 | x |
| 9.2b | 3 | y |
Compiled 158 to 94 computations (40.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 137.0ms | 0.21725631788321617 | 2.6689782697313744e+48 |
| 328.0ms | -3.3959631664542064e+27 | -3.4467547572416784e-7 |
Compiled 456 to 371 computations (18.6% saved)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (neg.f64 x)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x y) 1) |
(-.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 x) y) |
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) |
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(-.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 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log1p.f64 (/.f64 x y))) |
2 calls:
| 79.0ms | x |
| 60.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.0b | 4 | x |
| 9.5b | 3 | y |
Compiled 151 to 91 computations (39.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 149.0ms | 1.2099441604312974e-10 | 2.2183318143658256e-10 |
| 288.0ms | -8.239583558112728e+31 | -3.3959631664542064e+27 |
Compiled 223 to 191 computations (14.3% saved)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (neg.f64 x)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x y) 1) |
(-.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 x) y) |
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) |
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(-.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 1 (log1p.f64 (neg.f64 x))) |
(-.f64 1 (log.f64 (/.f64 -1 y))) |
| Outputs |
|---|
(-.f64 1 (log.f64 (/.f64 -1 y))) |
(-.f64 1 (log1p.f64 (neg.f64 x))) |
2 calls:
| 31.0ms | x |
| 23.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 19.5b | 3 | x |
| 11.4b | 2 | y |
Compiled 145 to 88 computations (39.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 174.0ms | -8.239583558112728e+31 | -3.3959631664542064e+27 |
Compiled 155 to 135 computations (12.9% saved)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (neg.f64 x)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x y) 1) |
(-.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 x) y) |
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) |
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(-.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 1 (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
(-.f64 1 (log1p.f64 (neg.f64 x))) |
2 calls:
| 13.0ms | y |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.1b | 1 | x |
| 21.1b | 1 | y |
Compiled 139 to 83 computations (40.3% saved)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (neg.f64 x)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x y) 1) |
(-.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 x) y) |
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
(-.f64 1 (*.f64 (/.f64 1 (+.f64 -1 y)) x)) |
(-.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y x)))) |
(-.f64 1 (*.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))) |
(/.f64 (-.f64 1 (/.f64 x (*.f64 (/.f64 y x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 1 (/.f64 (neg.f64 x) y))) |
(-.f64 1 (log1p.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) 1) |
| Outputs |
|---|
(-.f64 1 (/.f64 x (+.f64 -1 y))) |
2 calls:
| 10.0ms | y |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.2b | 1 | x |
| 33.2b | 1 | y |
Compiled 124 to 76 computations (38.7% saved)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
(+.f64 1 x) |
(-.f64 1 y) |
(-.f64 1 (neg.f64 x)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x y) 1) |
(-.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 x) y) |
| Outputs |
|---|
(+.f64 1 x) |
2 calls:
| 7.0ms | y |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 34.0b | 1 | x |
| 34.0b | 1 | y |
Compiled 41 to 25 computations (39% saved)
Total -27.5b remaining (-79.8%)
Threshold costs -27.5b (-79.8%)
| Inputs |
|---|
1 |
1 |
(neg.f64 y) |
| Outputs |
|---|
1 |
2 calls:
| 4.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 34.4b | 1 | x |
| 34.4b | 1 | y |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 25× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 11× | *-commutative_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 272 |
| 1 | 93 | 272 |
| 2 | 126 | 272 |
| 3 | 147 | 272 |
| 4 | 156 | 272 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y -1000000000000000019884624838656) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 1) (-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 4278419646001971/4503599627370496) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.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 2649999999999999994497026447541900446096718561280) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -6611313076017503/18889465931478580854784) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 7926335344172073/36028797018963968) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -3500000000000000183945396224) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 4835703278458517/38685626227668133590597632) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -3500000000000000183945396224) (-.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 -1 y))) |
(+.f64 1 x) |
1 |
| Outputs |
|---|
(if (<=.f64 y -1000000000000000019884624838656) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))) (if (<=.f64 y 1) (-.f64 1 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y y -1)) (+.f64 y 1)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 4278419646001971/4503599627370496) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.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 2649999999999999994497026447541900446096718561280) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log.f64 (/.f64 (+.f64 -1 x) y))))) |
(if (<=.f64 y -6611313076017503/18889465931478580854784) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 7926335344172073/36028797018963968) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -3500000000000000183945396224) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 4835703278458517/38685626227668133590597632) (-.f64 1 (log1p.f64 (neg.f64 x))) (-.f64 1 (log1p.f64 (/.f64 x y))))) |
(if (<=.f64 y -3500000000000000183945396224) (-.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 -1 y))) |
(-.f64 1 (/.f64 x (+.f64 y -1))) |
(+.f64 1 x) |
1 |
Compiled 201 to 153 computations (23.9% saved)
| 3× | egg-herbie |
| 1264× | fma-neg_binary64 |
| 1264× | fma-neg_binary64 |
| 1110× | fma-def_binary64 |
| 1110× | fma-def_binary64 |
| 585× | associate-/r*_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 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 491 to 387 computations (21.2% saved)
Compiled 183 to 123 computations (32.8% saved)
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