Time bar (total: 7.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 26.5% | 73.3% | 0.1% | 9 |
| 32% | 65.5% | 2.5% | 10 |
| 36.7% | 59.3% | 4% | 11 |
| 42.5% | 52.7% | 4.8% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 1.3s | 8256× | body | 256 | valid |
| 328.0ms | 2349× | body | 256 | invalid |
| 2× | egg-herbie |
| 1642× | fma-def_binary64 |
| 1069× | associate-/l*_binary64 |
| 539× | times-frac_binary64 |
| 481× | *-commutative_binary64 |
| 447× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 64 |
| 1 | 84 | 64 |
| 2 | 252 | 56 |
| 3 | 740 | 56 |
| 4 | 2093 | 56 |
| 5 | 2573 | 56 |
| 6 | 3055 | 56 |
| 7 | 3470 | 56 |
| 8 | 4057 | 56 |
| 9 | 4312 | 56 |
| 10 | 5308 | 56 |
| 11 | 5456 | 56 |
| 12 | 5908 | 56 |
| 13 | 5998 | 56 |
| 14 | 6049 | 56 |
| 15 | 6136 | 56 |
| 16 | 6151 | 56 |
| 17 | 6186 | 56 |
| 18 | 6339 | 56 |
| 19 | 6354 | 56 |
| 20 | 6938 | 56 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 1× | unsound |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 z y) (*.f64 (*.f64 x x) (+.f64 x 1))) |
(/.f64 (*.f64 x z) (*.f64 (*.f64 y y) (+.f64 y 1))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1))) |
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z 1))) |
(*.f64 y (/.f64 (/.f64 x z) (fma.f64 z z z))) |
(*.f64 y (/.f64 x (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1))) |
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z 1))) |
(*.f64 y (/.f64 (/.f64 x z) (fma.f64 z z z))) |
(*.f64 y (/.f64 x (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 z y) (*.f64 (*.f64 x x) (+.f64 x 1))) |
(/.f64 (/.f64 (*.f64 y z) (*.f64 x x)) (+.f64 x 1)) |
(/.f64 (*.f64 y z) (+.f64 (*.f64 x x) (pow.f64 x 3))) |
(*.f64 y (/.f64 (/.f64 z x) (fma.f64 x x x))) |
(/.f64 z (*.f64 (fma.f64 x x x) (/.f64 x y))) |
(/.f64 (*.f64 x z) (*.f64 (*.f64 y y) (+.f64 y 1))) |
(/.f64 (/.f64 (*.f64 x z) (*.f64 y y)) (+.f64 y 1)) |
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 z (+.f64 y 1))) |
(/.f64 z (/.f64 (fma.f64 y y y) (/.f64 x y))) |
(*.f64 x (/.f64 (/.f64 z y) (fma.f64 y y y))) |
(/.f64 (/.f64 x (fma.f64 y y y)) (/.f64 y z)) |
(sort x y)
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 826× | associate-*r/_binary64 |
| 734× | associate-/l/_binary64 |
| 660× | associate-*l/_binary64 |
| 517× | associate-/l*_binary64 |
| 421× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 30 | 16 |
| 2 | 85 | 14 |
| 3 | 246 | 14 |
| 4 | 476 | 14 |
| 5 | 787 | 14 |
| 6 | 1035 | 14 |
| 7 | 1336 | 14 |
| 8 | 1933 | 14 |
| 9 | 3431 | 14 |
| 10 | 4252 | 14 |
| 11 | 4464 | 14 |
| 12 | 4589 | 14 |
| 13 | 4836 | 14 |
| 14 | 5594 | 14 |
| 15 | 6363 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1))) |
(/.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (+.f64 z 1)) |
(/.f64 (/.f64 (*.f64 x y) z) (fma.f64 z z z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
Compiled 24 to 13 computations (45.8% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 6.1b | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
| ▶ | 14.5b | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
Compiled 27 to 16 computations (40.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 14.1b | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) | |
| 0.1b | (*.f64 (*.f64 z z) (+.f64 z 1)) | |
| ✓ | 0.1b | (*.f64 (*.f64 z z) (+.f64 z 1)) |
| ✓ | 14.1b | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
Compiled 34 to 15 computations (55.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 2.0ms | x | @ | 0 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 1× | batch-egg-rewrite |
| 659× | log-prod_binary64 |
| 381× | prod-diff_binary64 |
| 285× | pow2_binary64 |
| 232× | pow-unpow_binary64 |
| 229× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 220 | 26 |
| 2 | 3306 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (*.f64 z z) (+.f64 z 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (*.f64 z (fma.f64 z z z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (pow.f64 (hypot.f64 z (pow.f64 z 3/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (pow.f64 (hypot.f64 z (pow.f64 z 3/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 z z z))) -2) (/.f64 (*.f64 x y) (cbrt.f64 (*.f64 z (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 z z z))) 2)) (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 z z z))) 2)) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 z (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (hypot.f64 z (pow.f64 z 3/2))) (/.f64 y (hypot.f64 z (pow.f64 z 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (hypot.f64 z (pow.f64 z 3/2))) (/.f64 x (hypot.f64 z (pow.f64 z 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 z (pow.f64 z 3/2))) (/.f64 (*.f64 x y) (hypot.f64 z (pow.f64 z 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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pow.f64 (/.f64 z (/.f64 (*.f64 x y) (fma.f64 z z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (fma.f64 z z z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (/.f64 (*.f64 x y) (fma.f64 z z z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x y) (*.f64 (neg.f64 z) (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (fma.f64 z z z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z z) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 z 3) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 z 3) 1) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 z z z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 z z z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 z z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 (*.f64 z z) 3)) (+.f64 (pow.f64 (*.f64 z z) 3) (-.f64 (pow.f64 z 4) (*.f64 (pow.f64 z 3) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) (*.f64 z z)) (fma.f64 z z (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) (*.f64 z z)) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (+.f64 1 (pow.f64 z 3))) (fma.f64 z z (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (fma.f64 z z -1)) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 z 4)) (-.f64 (pow.f64 z 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (fma.f64 z z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (fma.f64 z z z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (fma.f64 z z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (fma.f64 z z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 z (pow.f64 z 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 (+.f64 z 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 1) 3) (pow.f64 (*.f64 z z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (fma.f64 z z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) z) (exp.f64 (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z z))) (exp.f64 (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 z 3)) (+.f64 1 (expm1.f64 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (fma.f64 z z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 (+.f64 z 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z 1) 3) (pow.f64 (*.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 z) (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 z) (log1p.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z z (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 z z) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z z) z (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z z) 1 (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z z) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 z 3) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 z 4)) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) z) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (*.f64 z z)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 z 4)) (pow.f64 (cbrt.f64 z) 2) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 z 4)) (*.f64 (pow.f64 (cbrt.f64 z) 2) z) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 z 4)) (*.f64 (pow.f64 (cbrt.f64 z) 2) 1) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 z z)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 3) 1 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 z)) (*.f64 z (sqrt.f64 z)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 z 3)) (sqrt.f64 (pow.f64 z 3)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 3/2) (pow.f64 z 3/2) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 z) z) (*.f64 (sqrt.f64 z) z) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z z) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2) (*.f64 z z)))))) |
| 1× | egg-herbie |
| 837× | fma-neg_binary64 |
| 494× | cancel-sign-sub-inv_binary64 |
| 415× | associate-/l/_binary64 |
| 404× | associate-*l*_binary64 |
| 399× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 816 |
| 1 | 135 | 732 |
| 2 | 402 | 681 |
| 3 | 1798 | 657 |
| 4 | 7824 | 657 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(pow.f64 z 2) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(pow.f64 z 3) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(pow.f64 z 3) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 (/.f64 x (*.f64 z z)) y) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (neg.f64 (/.f64 (*.f64 y x) z))) |
(-.f64 (*.f64 (/.f64 y (*.f64 z z)) x) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 (*.f64 y x) z) (*.f64 y x))) |
(+.f64 (*.f64 y x) (-.f64 (*.f64 (/.f64 y (*.f64 z z)) x) (*.f64 (/.f64 y z) x))) |
(fma.f64 y x (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) |
(fma.f64 y x (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 (*.f64 y x) z) (fma.f64 y x (neg.f64 (*.f64 y (*.f64 x z)))))) |
(+.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) x) (*.f64 (/.f64 y z) x)) (-.f64 (*.f64 y x) (*.f64 y (*.f64 x z)))) |
(+.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (*.f64 y (-.f64 x (*.f64 x z)))) |
(fma.f64 y (-.f64 x (*.f64 x z)) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) (/.f64 (*.f64 y x) (pow.f64 z 5))) |
(+.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 4)) x)) (*.f64 (/.f64 y (pow.f64 z 5)) x)) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 z 6) x)) (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 5)) x) (-.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (/.f64 y (/.f64 (pow.f64 z 6) x))) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 5)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) (/.f64 (*.f64 y x) (pow.f64 z 5))) |
(+.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 4)) x)) (*.f64 (/.f64 y (pow.f64 z 5)) x)) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 z 6) x)) (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 5)) x) (-.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (/.f64 y (/.f64 (pow.f64 z 6) x))) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 5)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
(pow.f64 z 2) |
(*.f64 z z) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (*.f64 z z) (pow.f64 z 3)) |
(fma.f64 z z (pow.f64 z 3)) |
(*.f64 z (fma.f64 z z z)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (*.f64 z z) (pow.f64 z 3)) |
(fma.f64 z z (pow.f64 z 3)) |
(*.f64 z (fma.f64 z z z)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (*.f64 z z) (pow.f64 z 3)) |
(fma.f64 z z (pow.f64 z 3)) |
(*.f64 z (fma.f64 z z z)) |
(pow.f64 z 3) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (*.f64 z z) (pow.f64 z 3)) |
(fma.f64 z z (pow.f64 z 3)) |
(*.f64 z (fma.f64 z z z)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (*.f64 z z) (pow.f64 z 3)) |
(fma.f64 z z (pow.f64 z 3)) |
(*.f64 z (fma.f64 z z z)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (*.f64 z z) (pow.f64 z 3)) |
(fma.f64 z z (pow.f64 z 3)) |
(*.f64 z (fma.f64 z z z)) |
(pow.f64 z 3) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (*.f64 z z) (pow.f64 z 3)) |
(fma.f64 z z (pow.f64 z 3)) |
(*.f64 z (fma.f64 z z z)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (*.f64 z z) (pow.f64 z 3)) |
(fma.f64 z z (pow.f64 z 3)) |
(*.f64 z (fma.f64 z z z)) |
(+.f64 (pow.f64 z 2) (pow.f64 z 3)) |
(+.f64 (*.f64 z z) (pow.f64 z 3)) |
(fma.f64 z z (pow.f64 z 3)) |
(*.f64 z (fma.f64 z z z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.8b | (/.f64 x (fma.f64 z z z)) | |
| 3.7b | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) | |
| ✓ | 3.7b | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
| ✓ | 6.8b | (/.f64 x (fma.f64 z z z)) |
Compiled 29 to 7 computations (75.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
| 1.0ms | x | @ | 0 | (/.f64 x (fma.f64 z z z)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
| 1.0ms | x | @ | inf | (/.f64 x (fma.f64 z z z)) |
| 1× | batch-egg-rewrite |
| 523× | log-prod_binary64 |
| 390× | exp-prod_binary64 |
| 386× | pow-prod-down_binary64 |
| 250× | pow2_binary64 |
| 189× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 176 | 22 |
| 2 | 2613 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (fma.f64 z z z)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 z z z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 z z z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 z z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 z z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 z z z))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 z z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 z z z))) 2) (cbrt.f64 (/.f64 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(pow.f64 (cbrt.f64 (fma.f64 z z z)) 2)) (cbrt.f64 (/.f64 x (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 z z z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z z z) -1/2) (/.f64 x (hypot.f64 z (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 z (sqrt.f64 z))) (/.f64 (cbrt.f64 x) (hypot.f64 z (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 z z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 z z z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 z z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 z z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 z z z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z z z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z z z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 z z z) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 z z z)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 z z z))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 z z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 z z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 z z z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (fma.f64 z z z)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 z z z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 z z z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z z z) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 z z z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 z z z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 z z z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 z z z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) (/.f64 x (fma.f64 z z z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) (/.f64 x (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) (/.f64 x (fma.f64 z z z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) (/.f64 x (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 z y) (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (fma.f64 z z z)) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (*.f64 z (fma.f64 z z z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z (/.f64 x (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (fma.f64 z z z) x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 z y) (/.f64 (fma.f64 z z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z (fma.f64 z z z)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (/.f64 (*.f64 x y) (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z z z) (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (/.f64 (fma.f64 z z z) x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (fma.f64 z z z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x y)) (neg.f64 (*.f64 z (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x y) (fma.f64 z z z))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 y z))) (neg.f64 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 (fma.f64 z z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (fma.f64 z z z)) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (*.f64 (fma.f64 z z z) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 (fma.f64 z z z)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 z) (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 (neg.f64 z) (/.f64 (fma.f64 z z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (*.f64 z (neg.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x y) (fma.f64 z z z)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x y) (fma.f64 z z z)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 x y) (fma.f64 z z z)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 y z)) 1) (fma.f64 z z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 y z)) (pow.f64 (cbrt.f64 (fma.f64 z z z)) 2)) (cbrt.f64 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 y z)) (hypot.f64 z (sqrt.f64 z))) (hypot.f64 z (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (neg.f64 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (/.f64 x (fma.f64 z z z))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y z) (neg.f64 x)) (neg.f64 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 (pow.f64 z 3/2) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (fma.f64 z z z) x) (/.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) (/.f64 (fma.f64 z z z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z (fma.f64 z z z)) (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 (*.f64 x y) (fma.f64 z z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z z z) (*.f64 x (/.f64 y z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y z)) (/.f64 x (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 (pow.f64 z 3/2) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 z z z))) 1) (log.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y z)) 1) (log.f64 (/.f64 (fma.f64 z z z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 x y) (fma.f64 z z z))) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 y z))) (*.f64 (log.f64 (fma.f64 z z z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x y) (*.f64 z (fma.f64 z z z))))))))) |
| 1× | egg-herbie |
| 823× | fma-neg_binary64 |
| 709× | associate-/l*_binary64 |
| 645× | associate-/r*_binary64 |
| 485× | cancel-sign-sub-inv_binary64 |
| 456× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 1054 |
| 1 | 182 | 950 |
| 2 | 551 | 896 |
| 3 | 2192 | 872 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 -1 x) (/.f64 x z))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) x)) (+.f64 (*.f64 z x) (+.f64 (*.f64 -1 x) (/.f64 x z)))) |
(/.f64 x (pow.f64 z 2)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 5))) (/.f64 x (pow.f64 z 4))))) |
(/.f64 x (pow.f64 z 2)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 5))) (/.f64 x (pow.f64 z 4))))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
| Outputs |
|---|
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x (+.f64 (pow.f64 z 2) z)) |
(/.f64 x (+.f64 z (*.f64 z z))) |
(/.f64 x (fma.f64 z z z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(fma.f64 -1 x (/.f64 x z)) |
(-.f64 (/.f64 x z) x) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 -1 x) (/.f64 x z))) |
(fma.f64 z x (fma.f64 -1 x (/.f64 x z))) |
(fma.f64 x z (-.f64 (/.f64 x z) x)) |
(-.f64 (fma.f64 x z (/.f64 x z)) x) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) x)) (+.f64 (*.f64 z x) (+.f64 (*.f64 -1 x) (/.f64 x z)))) |
(fma.f64 -1 (*.f64 x (*.f64 z z)) (fma.f64 z x (fma.f64 -1 x (/.f64 x z)))) |
(-.f64 (fma.f64 x z (-.f64 (/.f64 x z) x)) (*.f64 x (*.f64 z z))) |
(-.f64 (fma.f64 x (fma.f64 (neg.f64 z) z z) (/.f64 x z)) x) |
(-.f64 (fma.f64 x (-.f64 z (*.f64 z z)) (/.f64 x z)) x) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (/.f64 (neg.f64 x) (pow.f64 z 3))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4)))) |
(+.f64 (/.f64 x (*.f64 z z)) (fma.f64 -1 (/.f64 x (pow.f64 z 3)) (/.f64 x (pow.f64 z 4)))) |
(+.f64 (/.f64 x (*.f64 z z)) (-.f64 (/.f64 x (pow.f64 z 4)) (/.f64 x (pow.f64 z 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z))) (/.f64 x (pow.f64 z 4))) |
(+.f64 (-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 5))) (/.f64 x (pow.f64 z 4))))) |
(+.f64 (/.f64 x (*.f64 z z)) (fma.f64 -1 (/.f64 x (pow.f64 z 3)) (fma.f64 -1 (/.f64 x (pow.f64 z 5)) (/.f64 x (pow.f64 z 4))))) |
(+.f64 (-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) (-.f64 (/.f64 x (pow.f64 z 4)) (/.f64 x (pow.f64 z 5)))) |
(+.f64 (/.f64 x (*.f64 z z)) (-.f64 (/.f64 x (pow.f64 z 4)) (+.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (pow.f64 z 5))))) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (/.f64 (neg.f64 x) (pow.f64 z 3))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4)))) |
(+.f64 (/.f64 x (*.f64 z z)) (fma.f64 -1 (/.f64 x (pow.f64 z 3)) (/.f64 x (pow.f64 z 4)))) |
(+.f64 (/.f64 x (*.f64 z z)) (-.f64 (/.f64 x (pow.f64 z 4)) (/.f64 x (pow.f64 z 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z))) (/.f64 x (pow.f64 z 4))) |
(+.f64 (-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 4))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 5))) (/.f64 x (pow.f64 z 4))))) |
(+.f64 (/.f64 x (*.f64 z z)) (fma.f64 -1 (/.f64 x (pow.f64 z 3)) (fma.f64 -1 (/.f64 x (pow.f64 z 5)) (/.f64 x (pow.f64 z 4))))) |
(+.f64 (-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) (-.f64 (/.f64 x (pow.f64 z 4)) (/.f64 x (pow.f64 z 5)))) |
(+.f64 (/.f64 x (*.f64 z z)) (-.f64 (/.f64 x (pow.f64 z 4)) (+.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (pow.f64 z 5))))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (neg.f64 (/.f64 y (/.f64 z x)))) |
(-.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 y (/.f64 z x)) (*.f64 x y))) |
(+.f64 (*.f64 x y) (-.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (*.f64 (/.f64 y z) x))) |
(fma.f64 x y (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) |
(fma.f64 x y (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 y (/.f64 z x)) (fma.f64 y x (neg.f64 (*.f64 (*.f64 x z) y))))) |
(+.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (-.f64 (fma.f64 x y (/.f64 (*.f64 (neg.f64 x) y) z)) (*.f64 x (*.f64 z y)))) |
(+.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (*.f64 x (-.f64 y (*.f64 z y)))) |
(fma.f64 x (-.f64 y (*.f64 z y)) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 (*.f64 x y) (pow.f64 z 3)) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))) |
(-.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))) (/.f64 y (/.f64 (pow.f64 z 5) x))) |
(+.f64 (-.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) (/.f64 x (/.f64 (pow.f64 z 5) y))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 y (/.f64 (pow.f64 z 5) x)) (+.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 x y) (pow.f64 z 6)) (/.f64 y (/.f64 (pow.f64 z 4) x)))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 z 5) y)) (-.f64 (-.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (*.f64 (/.f64 y (pow.f64 z 6)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 5)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 (*.f64 x y) (pow.f64 z 3)) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))) |
(-.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))) (/.f64 y (/.f64 (pow.f64 z 5) x))) |
(+.f64 (-.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) (/.f64 x (/.f64 (pow.f64 z 5) y))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 y (/.f64 (pow.f64 z 5) x)) (+.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 x y) (pow.f64 z 6)) (/.f64 y (/.f64 (pow.f64 z 4) x)))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 z 5) y)) (-.f64 (-.f64 (/.f64 (*.f64 x y) (pow.f64 z 3)) (*.f64 (/.f64 y (pow.f64 z 6)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 5)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(*.f64 (/.f64 y (+.f64 z (*.f64 z z))) (/.f64 x z)) |
(*.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) x) |
(*.f64 x (/.f64 y (*.f64 z (fma.f64 z z z)))) |
Compiled 4515 to 1493 computations (66.9% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 283 | 20 | 303 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 284 | 21 | 305 |
| Status | Error | Program |
|---|---|---|
| 24.5b | (/.f64 (*.f64 x y) (*.f64 z z)) | |
| ▶ | 8.1b | (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))) |
| 50.0b | (pow.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (hypot.f64 z (pow.f64 z 3/2))) 2) | |
| 12.5b | (*.f64 (/.f64 1 (+.f64 z 1)) (*.f64 (*.f64 x y) (pow.f64 z -2))) | |
| 6.5b | (*.f64 (/.f64 y (+.f64 z 1)) (/.f64 (/.f64 x z) z)) | |
| 29.2b | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) | |
| ✓ | 14.5b | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 11.4b | (*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z 1))) | |
| ▶ | 29.2b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 4.8b | (/.f64 1 (/.f64 (fma.f64 z z z) (*.f64 x (/.f64 y z)))) | |
| 9.4b | (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)) | |
| 34.0b | (*.f64 (/.f64 x (hypot.f64 z (pow.f64 z 3/2))) (/.f64 y (hypot.f64 z (pow.f64 z 3/2)))) | |
| 28.6b | (*.f64 x (/.f64 y (pow.f64 z 3))) | |
| 21.2b | (*.f64 (/.f64 y z) (/.f64 x z)) | |
| 27.4b | (*.f64 (/.f64 y z) (/.f64 x (*.f64 z z))) | |
| 12.5b | (*.f64 (pow.f64 z -2) (/.f64 (*.f64 x y) (+.f64 z 1))) | |
| ▶ | 4.5b | (/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
| 9.4b | (/.f64 (/.f64 (*.f64 x y) (fma.f64 z z z)) z) | |
| 37.7b | (*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (+.f64 z 1)) (/.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z z))) | |
| ▶ | 27.4b | (*.f64 (/.f64 y z) (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z)))) |
| ▶ | 23.1b | (*.f64 x (/.f64 y (*.f64 z z))) |
Compiled 558 to 347 computations (37.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.8b | (*.f64 x (/.f64 y z)) | |
| 3.7b | (/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) | |
| ✓ | 3.7b | (/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
| ✓ | 3.8b | (*.f64 x (/.f64 y z)) |
Compiled 28 to 7 computations (75% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (*.f64 x (/.f64 y z)) |
| 1.0ms | z | @ | 0 | (*.f64 x (/.f64 y z)) |
| 1.0ms | x | @ | inf | (*.f64 x (/.f64 y z)) |
| 1.0ms | z | @ | inf | (*.f64 x (/.f64 y z)) |
| 0.0ms | x | @ | 0 | (*.f64 x (/.f64 y z)) |
| 1× | batch-egg-rewrite |
| 527× | log-prod_binary64 |
| 404× | exp-prod_binary64 |
| 330× | pow-prod-down_binary64 |
| 242× | pow2_binary64 |
| 181× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 173 | 21 |
| 2 | 2530 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 y z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 y z)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 y z))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 y z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 y z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x y)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 (fma.f64 z z z) (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 y z) (/.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (*.f64 x (/.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 y z)) 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#<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z z z) -1/2) (/.f64 (*.f64 x (/.f64 y z)) (hypot.f64 z (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 2) (hypot.f64 z (sqrt.f64 z))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (hypot.f64 z (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) (pow.f64 (fma.f64 z z z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))))) (sqrt.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 y z)) (neg.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) (pow.f64 (fma.f64 z z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) 1) (log.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 y z))) (*.f64 (log.f64 (fma.f64 z z z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) 1) (*.f64 (log.f64 (fma.f64 z z z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))))))))) |
| 1× | egg-herbie |
| 789× | fma-neg_binary64 |
| 662× | associate-/l*_binary64 |
| 596× | associate-/r*_binary64 |
| 499× | cancel-sign-sub-inv_binary64 |
| 380× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 966 |
| 1 | 127 | 900 |
| 2 | 384 | 849 |
| 3 | 1640 | 825 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
| Outputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (*.f64 z z)) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 x z) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (*.f64 z z)) (neg.f64 (/.f64 y (/.f64 z x)))) |
(-.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 y x) (*.f64 z z)) (fma.f64 -1 (/.f64 y (/.f64 z x)) (*.f64 y x))) |
(+.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (-.f64 (*.f64 y x) (*.f64 (/.f64 y z) x))) |
(fma.f64 y x (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) |
(fma.f64 y x (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(+.f64 (/.f64 (*.f64 y x) (*.f64 z z)) (fma.f64 -1 (/.f64 y (/.f64 z x)) (fma.f64 y x (neg.f64 (*.f64 y (*.f64 x z)))))) |
(+.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (-.f64 (-.f64 (*.f64 y x) (*.f64 (/.f64 y z) x)) (*.f64 y (*.f64 x z)))) |
(+.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (*.f64 y (-.f64 x (*.f64 x z)))) |
(fma.f64 y (-.f64 x (*.f64 x z)) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (/.f64 (*.f64 y x) (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (+.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 5)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 6)) (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 5)) x) (-.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 6)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 5)) (/.f64 y (pow.f64 z 3)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (/.f64 (*.f64 y x) (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (+.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 5)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 6)) (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 5)) x) (-.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 6)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 5)) (/.f64 y (pow.f64 z 3)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.1b | (/.f64 y (*.f64 z z)) | |
| 7.6b | (*.f64 x (/.f64 y (*.f64 z z))) | |
| ✓ | 7.6b | (*.f64 x (/.f64 y (*.f64 z z))) |
| ✓ | 11.1b | (/.f64 y (*.f64 z z)) |
Compiled 21 to 6 computations (71.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 y (*.f64 z z))) |
| 1.0ms | y | @ | inf | (/.f64 y (*.f64 z z)) |
| 1.0ms | x | @ | inf | (*.f64 x (/.f64 y (*.f64 z z))) |
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 z z)) |
| 1.0ms | y | @ | -inf | (/.f64 y (*.f64 z z)) |
| 1× | batch-egg-rewrite |
| 791× | pow1_binary64 |
| 733× | add-log-exp_binary64 |
| 733× | log1p-expm1-u_binary64 |
| 733× | expm1-log1p-u_binary64 |
| 714× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 147 | 17 |
| 2 | 1995 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 z z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (pow.f64 z -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 z -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4))) (cbrt.f64 (*.f64 y (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 y (cbrt.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (*.f64 y (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 z 4))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 z -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (pow.f64 z -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 (pow.f64 z -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z z) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) z) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y z) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 y z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (pow.f64 z -2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 z -2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 (pow.f64 z -2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 y x)) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 z -2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 y (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 z -2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 z -2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (pow.f64 z -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 (pow.f64 z -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 z -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 (pow.f64 z -2) x)))))))) |
| 1× | egg-herbie |
| 913× | associate-/r/_binary64 |
| 608× | times-frac_binary64 |
| 551× | associate-/l/_binary64 |
| 491× | sqr-pow_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 528 |
| 1 | 17 | 528 |
| 2 | 35 | 528 |
| 3 | 77 | 528 |
| 4 | 218 | 528 |
| 5 | 808 | 528 |
| 6 | 3734 | 528 |
| 7 | 4748 | 528 |
| 8 | 4912 | 528 |
| 9 | 5125 | 528 |
| 10 | 5345 | 528 |
| 11 | 5662 | 528 |
| 12 | 6988 | 528 |
| 13 | 7476 | 528 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
| Outputs |
|---|
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 y (/.f64 x (*.f64 z z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.0b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) | |
| 0.0b | (-.f64 (/.f64 x z) x) | |
| ✓ | 0.0b | (-.f64 (/.f64 x z) x) |
| ✓ | 5.0b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
Compiled 26 to 7 computations (73.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 1.0ms | z | @ | -inf | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 1× | batch-egg-rewrite |
| 611× | prod-diff_binary64 |
| 512× | log-prod_binary64 |
| 372× | pow-prod-down_binary64 |
| 254× | pow2_binary64 |
| 233× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 180 | 20 |
| 2 | 2736 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x z) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x z) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x z) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x z) x) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x z) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x z) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 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(/.f64 (+.f64 x (/.f64 x z)) (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 x z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 x z))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 x z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 x z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x z))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x z))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 x z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x z) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 x z) x) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 x z) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 x z) x) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 x z) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 x z) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 x z) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 2) (cbrt.f64 (-.f64 (/.f64 x z) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 2) (cbrt.f64 (-.f64 (/.f64 x z) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x z) x)) 2) (cbrt.f64 (-.f64 (/.f64 x z) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 x z) x)) (sqrt.f64 (-.f64 (/.f64 x z) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 x z) x)) (sqrt.f64 (-.f64 (/.f64 x z) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 x z) x)) (sqrt.f64 (-.f64 (/.f64 x z) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 z x) -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (/.f64 x z)) (pow.f64 (/.f64 x z) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 z x) -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (/.f64 x z)) (pow.f64 (/.f64 x z) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 z x) -3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (/.f64 x z)) (pow.f64 (/.f64 x z) 2))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) x (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 x z))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 x z))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 x (cbrt.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 x (cbrt.f64 z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 x z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 x z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 x (sqrt.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 x (sqrt.f64 z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 x z)))))) |
| 1× | egg-herbie |
| 726× | div-sub_binary64 |
| 487× | sub-neg_binary64 |
| 463× | unsub-neg_binary64 |
| 446× | associate-/r/_binary64 |
| 331× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 677 |
| 1 | 78 | 677 |
| 2 | 200 | 614 |
| 3 | 644 | 614 |
| 4 | 2368 | 614 |
| 5 | 5017 | 614 |
| 6 | 7698 | 614 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
| Outputs |
|---|
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (-.f64 (/.f64 x z) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 y (/.f64 z (/.f64 x z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(/.f64 (neg.f64 x) (/.f64 z y)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(/.f64 (neg.f64 x) (/.f64 z y)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(/.f64 y (/.f64 z (-.f64 (/.f64 x z) x))) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 (-.f64 (/.f64 1 z) 1) x) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) x)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(+.f64 (*.f64 -1 x) (/.f64 x z)) |
(*.f64 x (+.f64 (/.f64 1 z) -1)) |
(*.f64 x (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.1b | (/.f64 x (*.f64 z z)) | |
| 4.7b | (*.f64 (/.f64 y z) (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z)))) | |
| 0.1b | (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z))) | |
| 0.0b | (+.f64 (/.f64 -1 z) 1) | |
| ✓ | 0.0b | (+.f64 (/.f64 -1 z) 1) |
| ✓ | 0.1b | (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z))) |
| ✓ | 4.7b | (*.f64 (/.f64 y z) (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z)))) |
| ✓ | 11.1b | (/.f64 x (*.f64 z z)) |
Compiled 53 to 25 computations (52.8% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z))) |
| 1.0ms | z | @ | 0 | (/.f64 x (*.f64 z z)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 y z) (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z)))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 y z) (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z)))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 y z) (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z)))) |
| 1× | batch-egg-rewrite |
| 737× | log-prod_binary64 |
| 359× | pow2_binary64 |
| 269× | log-div_binary64 |
| 254× | pow1/3_binary64 |
| 242× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 280 | 49 |
| 2 | 3969 | 49 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 z z)) |
(*.f64 (/.f64 y z) (*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z)))) |
(*.f64 (+.f64 (/.f64 -1 z) 1) (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 -1 z) 1) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 834× | fma-def_binary64 |
| 530× | associate-/l*_binary64 |
| 419× | associate-/r*_binary64 |
| 379× | div-sub_binary64 |
| 317× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 1297 |
| 1 | 68 | 1255 |
| 2 | 235 | 1222 |
| 3 | 893 | 1093 |
| 4 | 4449 | 1093 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(*.f64 -1 (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 x (pow.f64 z 2)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 x (pow.f64 z 2)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 -1 z) |
(-.f64 1 (/.f64 1 z)) |
(-.f64 1 (/.f64 1 z)) |
(-.f64 1 (/.f64 1 z)) |
1 |
(-.f64 1 (/.f64 1 z)) |
(-.f64 1 (/.f64 1 z)) |
(-.f64 1 (/.f64 1 z)) |
1 |
(-.f64 1 (/.f64 1 z)) |
(-.f64 1 (/.f64 1 z)) |
(-.f64 1 (/.f64 1 z)) |
| Outputs |
|---|
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))) |
(neg.f64 (/.f64 (*.f64 x y) (pow.f64 z 4))) |
(/.f64 (*.f64 (neg.f64 x) y) (pow.f64 z 4)) |
(/.f64 (*.f64 y (neg.f64 x)) (pow.f64 z 4)) |
(*.f64 x (/.f64 (neg.f64 y) (pow.f64 z 4))) |
(*.f64 (neg.f64 x) (/.f64 y (pow.f64 z 4))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 (*.f64 x y) (pow.f64 z 3)) |
(/.f64 x (/.f64 (pow.f64 z 3) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 (*.f64 x y) (pow.f64 z 3)) |
(/.f64 x (/.f64 (pow.f64 z 3) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 x y)) |
(/.f64 y (/.f64 (pow.f64 z 3) (+.f64 x (/.f64 (neg.f64 x) z)))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 x (pow.f64 z 3))) |
(neg.f64 (/.f64 x (pow.f64 z 3))) |
(/.f64 (neg.f64 x) (pow.f64 z 3)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(+.f64 (/.f64 x (*.f64 z z)) (neg.f64 (/.f64 x (pow.f64 z 3)))) |
(-.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 -1 z) |
(-.f64 1 (/.f64 1 z)) |
(+.f64 1 (/.f64 -1 z)) |
(-.f64 1 (/.f64 1 z)) |
(+.f64 1 (/.f64 -1 z)) |
(-.f64 1 (/.f64 1 z)) |
(+.f64 1 (/.f64 -1 z)) |
1 |
(-.f64 1 (/.f64 1 z)) |
(+.f64 1 (/.f64 -1 z)) |
(-.f64 1 (/.f64 1 z)) |
(+.f64 1 (/.f64 -1 z)) |
(-.f64 1 (/.f64 1 z)) |
(+.f64 1 (/.f64 -1 z)) |
1 |
(-.f64 1 (/.f64 1 z)) |
(+.f64 1 (/.f64 -1 z)) |
(-.f64 1 (/.f64 1 z)) |
(+.f64 1 (/.f64 -1 z)) |
(-.f64 1 (/.f64 1 z)) |
(+.f64 1 (/.f64 -1 z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.7b | (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))) | |
| 2.0b | (*.f64 (fma.f64 z z z) (/.f64 z y)) | |
| ✓ | 2.0b | (*.f64 (fma.f64 z z z) (/.f64 z y)) |
| ✓ | 6.7b | (/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))) |
Compiled 31 to 7 computations (77.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (*.f64 (fma.f64 z z z) (/.f64 z y)) |
| 1.0ms | z | @ | 0 | (*.f64 (fma.f64 z z z) (/.f64 z y)) |
| 0.0ms | y | @ | 0 | (*.f64 (fma.f64 z z z) (/.f64 z y)) |
| 0.0ms | y | @ | -inf | (*.f64 (fma.f64 z z z) (/.f64 z y)) |
| 0.0ms | z | @ | inf | (*.f64 (fma.f64 z z z) (/.f64 z y)) |
| 1× | batch-egg-rewrite |
| 522× | log-prod_binary64 |
| 401× | exp-prod_binary64 |
| 317× | pow-prod-down_binary64 |
| 242× | pow2_binary64 |
| 185× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 1 | 173 | 25 |
| 2 | 2520 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 (fma.f64 z z z) (/.f64 z y))) |
(*.f64 (fma.f64 z z z) (/.f64 z y)) |
| Outputs |
|---|
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egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (fma.f64 z z z)) 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z z z) (/.f64 x (/.f64 z y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 z z z) (/.f64 x (/.f64 z y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 (fma.f64 z z z) (neg.f64 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y z)) (/.f64 x (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z z z) (/.f64 x (/.f64 z y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x (fma.f64 z z z))) (*.f64 (log.f64 (/.f64 z y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 z z z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z z) (/.f64 z y)) (*.f64 z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z y) (*.f64 z z)) (*.f64 (/.f64 z y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) (fma.f64 z z z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) (fma.f64 z z z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z y)) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z z z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 z z z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z (fma.f64 z z z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 z z z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 z z z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 z z z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (fma.f64 z z z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z z) (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z (fma.f64 z z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z y)) (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 z z z) (/.f64 z y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 z z z)) 1) (log.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 z (fma.f64 z z z))) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 z z z) (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) (*.f64 z z) (*.f64 (/.f64 z y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z z) (/.f64 z y) (*.f64 z (/.f64 z y))))))) |
| 1× | egg-herbie |
| 789× | fma-neg_binary64 |
| 670× | associate-/l*_binary64 |
| 603× | associate-/r*_binary64 |
| 499× | cancel-sign-sub-inv_binary64 |
| 383× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 1071 |
| 1 | 134 | 1005 |
| 2 | 393 | 954 |
| 3 | 1658 | 825 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (/.f64 (pow.f64 z 3) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (pow.f64 z 3) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (pow.f64 z 3) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 3) y) |
(+.f64 (/.f64 (pow.f64 z 3) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (pow.f64 z 3) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (pow.f64 z 3) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 3) y) |
(+.f64 (/.f64 (pow.f64 z 3) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (pow.f64 z 3) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (pow.f64 z 3) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
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(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(+.f64 (/.f64 (*.f64 z z) y) (/.f64 (pow.f64 z 3) y)) |
(+.f64 (/.f64 z (/.f64 y z)) (/.f64 (pow.f64 z 3) y)) |
(+.f64 (*.f64 (/.f64 z y) z) (/.f64 (pow.f64 z 3) y)) |
(*.f64 z (/.f64 (fma.f64 z z z) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(+.f64 (/.f64 (*.f64 z z) y) (/.f64 (pow.f64 z 3) y)) |
(+.f64 (/.f64 z (/.f64 y z)) (/.f64 (pow.f64 z 3) y)) |
(+.f64 (*.f64 (/.f64 z y) z) (/.f64 (pow.f64 z 3) y)) |
(*.f64 z (/.f64 (fma.f64 z z z) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 2) z) z) y) |
(+.f64 (/.f64 (*.f64 z z) y) (/.f64 (pow.f64 z 3) y)) |
(+.f64 (/.f64 z (/.f64 y z)) (/.f64 (pow.f64 z 3) y)) |
(+.f64 (*.f64 (/.f64 z y) z) (/.f64 (pow.f64 z 3) y)) |
(*.f64 z (/.f64 (fma.f64 z z z) y)) |
Compiled 11930 to 4935 computations (58.6% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 700 | 18 | 718 |
| Fresh | 12 | 3 | 15 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 715 | 24 | 739 |
| Status | Error | Program |
|---|---|---|
| ▶ | 5.2b | (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) |
| 25.4b | (/.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 -1 z) 1)) (/.f64 z (/.f64 x z))) | |
| 21.7b | (/.f64 x (*.f64 z (/.f64 z y))) | |
| 28.6b | (*.f64 x (/.f64 y (pow.f64 z 3))) | |
| 21.7b | (/.f64 x (/.f64 z (/.f64 y z))) | |
| 6.5b | (*.f64 (/.f64 y (+.f64 z 1)) (/.f64 (/.f64 x z) z)) | |
| 24.2b | (*.f64 y (/.f64 x (*.f64 z z))) | |
| ✓ | 14.5b | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 11.4b | (*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z 1))) | |
| ✓ | 29.2b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 48.7b | (*.f64 y (/.f64 (neg.f64 x) z)) | |
| ✓ | 23.1b | (*.f64 x (/.f64 y (*.f64 z z))) |
| 21.8b | (/.f64 y (/.f64 z (/.f64 x z))) | |
| ▶ | 21.3b | (/.f64 (*.f64 x (/.f64 y z)) z) |
| 22.1b | (*.f64 x (*.f64 (/.f64 y z) (/.f64 1 z))) | |
| 17.4b | (/.f64 x (+.f64 (*.f64 (/.f64 z y) (*.f64 z z)) (*.f64 (/.f64 z y) z))) | |
| ▶ | 27.4b | (*.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z))) |
| 23.7b | (/.f64 (*.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 -1 z) 1)) (/.f64 x z)) z) | |
| 27.4b | (*.f64 (/.f64 y z) (/.f64 x (*.f64 z z))) | |
| ▶ | 29.2b | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
| ▶ | 48.7b | (*.f64 (/.f64 y z) (neg.f64 x)) |
| 25.5b | (/.f64 (/.f64 (*.f64 y x) z) z) | |
| 24.5b | (/.f64 (*.f64 y x) (*.f64 z z)) | |
| 21.1b | (/.f64 (/.f64 x z) (/.f64 z y)) |
Compiled 546 to 334 computations (38.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 4.6b | (*.f64 y (/.f64 x z)) | |
| 3.7b | (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) | |
| ✓ | 3.7b | (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) |
| ✓ | 4.6b | (*.f64 y (/.f64 x z)) |
Compiled 28 to 7 computations (75% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 y (/.f64 x z)) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) |
| 1× | batch-egg-rewrite |
| 527× | log-prod_binary64 |
| 404× | exp-prod_binary64 |
| 330× | pow-prod-down_binary64 |
| 242× | pow2_binary64 |
| 181× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 173 | 21 |
| 2 | 2530 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (/.f64 x z)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (/.f64 x z))))) (sqrt.f64 (log.f64 (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (/.f64 x z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 x z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y x)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (fma.f64 z z z) (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 x z) (/.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (*.f64 y (/.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x z)) (/.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y) -2)) (cbrt.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) (*.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (/.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))) (sqrt.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (*.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (/.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 (/.f64 x z))) (/.f64 1 (neg.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 z z z)) (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (/.f64 x z) (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) 1) (/.f64 y (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) 1) (/.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 z z z)) 2)) (/.f64 (/.f64 x z) (cbrt.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) (pow.f64 (cbrt.f64 (fma.f64 z z z)) 2)) (/.f64 y (cbrt.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z z z)) -2) (/.f64 (*.f64 y (/.f64 x z)) (cbrt.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) (pow.f64 (cbrt.f64 (fma.f64 z z z)) 2)) (cbrt.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 z z z)) 2)) (/.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (cbrt.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (hypot.f64 z (sqrt.f64 z))) (/.f64 (/.f64 x z) (hypot.f64 z (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z z z) -1/2) (/.f64 (*.f64 y (/.f64 x z)) (hypot.f64 z (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) (hypot.f64 z (sqrt.f64 z))) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (hypot.f64 z (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) (pow.f64 (fma.f64 z z z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))) 2)) (cbrt.f64 (log.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))) (sqrt.f64 (log.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (/.f64 x z)) (neg.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) (pow.f64 (fma.f64 z z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 (fma.f64 z z z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) 1) (log.f64 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y (/.f64 x z))) (*.f64 (log.f64 (fma.f64 z z z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) 1) (*.f64 (log.f64 (fma.f64 z z z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (*.f64 (fma.f64 z z z) (/.f64 z x))))))))) |
| 1× | egg-herbie |
| 789× | fma-neg_binary64 |
| 662× | associate-/l*_binary64 |
| 596× | associate-/r*_binary64 |
| 499× | cancel-sign-sub-inv_binary64 |
| 380× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 966 |
| 1 | 127 | 900 |
| 2 | 384 | 849 |
| 3 | 1640 | 825 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
| Outputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z 2) z) z)) |
(/.f64 (*.f64 y x) (*.f64 z (+.f64 z (*.f64 z z)))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 y z)) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (*.f64 z z)) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 x z) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (*.f64 z z)) (neg.f64 (/.f64 y (/.f64 z x)))) |
(-.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 y x) (*.f64 z z)) (fma.f64 -1 (/.f64 y (/.f64 z x)) (*.f64 y x))) |
(+.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (-.f64 (*.f64 y x) (*.f64 (/.f64 y z) x))) |
(fma.f64 y x (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) |
(fma.f64 y x (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(+.f64 (/.f64 (*.f64 y x) (*.f64 z z)) (fma.f64 -1 (/.f64 y (/.f64 z x)) (fma.f64 y x (neg.f64 (*.f64 y (*.f64 x z)))))) |
(+.f64 (*.f64 (/.f64 x z) (/.f64 y z)) (-.f64 (-.f64 (*.f64 y x) (*.f64 (/.f64 y z) x)) (*.f64 y (*.f64 x z)))) |
(+.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (*.f64 y (-.f64 x (*.f64 x z)))) |
(fma.f64 y (-.f64 x (*.f64 x z)) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (/.f64 (*.f64 y x) (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (+.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 5)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 6)) (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 5)) x) (-.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 6)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 5)) (/.f64 y (pow.f64 z 3)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (/.f64 (*.f64 y x) (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(-.f64 (+.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 5)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 6)) (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 5)) x) (-.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) x) (*.f64 (/.f64 y (pow.f64 z 6)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 5)) (/.f64 y (pow.f64 z 3)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.8b | (*.f64 (/.f64 y z) (neg.f64 x)) | |
| ✓ | 3.8b | (*.f64 (/.f64 y z) (neg.f64 x)) |
Compiled 17 to 6 computations (64.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 y z) (neg.f64 x)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 y z) (neg.f64 x)) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 y z) (neg.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 y z) (neg.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 y z) (neg.f64 x)) |
| 1× | batch-egg-rewrite |
| 715× | pow1_binary64 |
| 660× | add-log-exp_binary64 |
| 659× | log1p-expm1-u_binary64 |
| 659× | expm1-log1p-u_binary64 |
| 645× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 150 | 7 |
| 2 | 2087 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y z) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y z) x))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 46× | fma-neg_binary64 |
| 24× | sub-neg_binary64 |
| 18× | div-sub_binary64 |
| 14× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 324 |
| 1 | 15 | 324 |
| 2 | 35 | 324 |
| 3 | 69 | 324 |
| 4 | 114 | 324 |
| 5 | 162 | 324 |
| 6 | 202 | 324 |
| 7 | 238 | 324 |
| 8 | 275 | 324 |
| 9 | 394 | 324 |
| 10 | 445 | 324 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.8b | (*.f64 x (/.f64 y z)) | |
| 1.6b | (/.f64 (*.f64 x (/.f64 y z)) z) | |
| ✓ | 1.6b | (/.f64 (*.f64 x (/.f64 y z)) z) |
| 3.8b | (*.f64 x (/.f64 y z)) |
Compiled 21 to 6 computations (71.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x (/.f64 y z)) z) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x (/.f64 y z)) z) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 x (/.f64 y z)) z) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x (/.f64 y z)) z) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 x (/.f64 y z)) z) |
| 1× | batch-egg-rewrite |
| 905× | pow1_binary64 |
| 840× | add-log-exp_binary64 |
| 840× | log1p-expm1-u_binary64 |
| 840× | expm1-log1p-u_binary64 |
| 821× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 151 | 10 |
| 2 | 2211 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 y z)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x z) (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 z (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 y z) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (*.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 y z)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 2) (*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 2) (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (/.f64 y z))) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 y z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 y z) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 y z) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 x (/.f64 y z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 x (/.f64 y z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y z) 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 1) (/.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y z) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z (*.f64 x y)) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 y z)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 922× | *-commutative_binary64 |
| 896× | associate-/r/_binary64 |
| 624× | times-frac_binary64 |
| 514× | associate-/l/_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 360 |
| 1 | 16 | 360 |
| 2 | 34 | 360 |
| 3 | 75 | 360 |
| 4 | 211 | 360 |
| 5 | 786 | 360 |
| 6 | 3676 | 360 |
| 7 | 4499 | 360 |
| 8 | 4707 | 360 |
| 9 | 4926 | 360 |
| 10 | 5154 | 360 |
| 11 | 5479 | 360 |
| 12 | 6900 | 360 |
| 13 | 7878 | 360 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 4.8b | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) | |
| 0.0b | (-.f64 (/.f64 y z) y) | |
| ✓ | 0.0b | (-.f64 (/.f64 y z) y) |
| ✓ | 4.8b | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
Compiled 26 to 7 computations (73.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
| 1.0ms | z | @ | -inf | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
| 1× | batch-egg-rewrite |
| 611× | prod-diff_binary64 |
| 512× | log-prod_binary64 |
| 372× | pow-prod-down_binary64 |
| 254× | pow2_binary64 |
| 233× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 180 | 20 |
| 2 | 2736 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(-.f64 (/.f64 y z) y) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y z) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 y z) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 y z) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 y z) y) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 y z) y) (fma.f64 -1 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 y z) y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 y z) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 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(/.f64 (+.f64 y (/.f64 y z)) (-.f64 (pow.f64 (/.f64 y z) 2) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 y z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 y z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 y z))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 y z)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 y z))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 y z))) (exp.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 y z))) (/.f64 1 (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 1 (expm1.f64 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 y)) (+.f64 1 (expm1.f64 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 y z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 y z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 z) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) 1 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) 1 (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 y z) y) 1 (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 y z) y) 1 (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 y z) y) 1 (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y z) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 y z) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 y z) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 y z) y) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 y) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 (cbrt.f64 y)) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 y z) y)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 y z) y)) 2) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 y z) y)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 y z) y)) 2) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 y z) y)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 y z) y)) 2) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 y z) y)) 2) (cbrt.f64 (-.f64 (/.f64 y z) y)) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 y z) y)) 2) (cbrt.f64 (-.f64 (/.f64 y z) y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 y z) y)) 2) (cbrt.f64 (-.f64 (/.f64 y z) y)) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 y z) y)) (sqrt.f64 (-.f64 (/.f64 y z) y)) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 y z) y)) (sqrt.f64 (-.f64 (/.f64 y z) y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 y z) y)) (sqrt.f64 (-.f64 (/.f64 y z) y)) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (/.f64 1 (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (/.f64 1 (neg.f64 z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 z y) -3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (+.f64 y (/.f64 y z)) (pow.f64 (/.f64 y z) 2))) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 z y) -3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (+.f64 y (/.f64 y z)) (pow.f64 (/.f64 y z) 2))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 z y) -3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (+.f64 y (/.f64 y z)) (pow.f64 (/.f64 y z) 2))) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) y (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) y (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (/.f64 y z))) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (/.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (/.f64 y z))) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 y)) 2) (cbrt.f64 (neg.f64 y)) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 y (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 y (cbrt.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 y (cbrt.f64 z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 y z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 y z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 y (sqrt.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 y (sqrt.f64 z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 y)) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (/.f64 y z)))))) |
| 1× | egg-herbie |
| 836× | fma-def_binary64 |
| 702× | div-sub_binary64 |
| 471× | associate-/r/_binary64 |
| 470× | unsub-neg_binary64 |
| 343× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 677 |
| 1 | 77 | 677 |
| 2 | 199 | 614 |
| 3 | 656 | 614 |
| 4 | 2366 | 614 |
| 5 | 5776 | 614 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) y)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) y)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) y)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) y)) |
(/.f64 y z) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) x) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 x (neg.f64 (/.f64 y z))) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 y x) z)) |
(neg.f64 (/.f64 y (/.f64 z x))) |
(/.f64 (neg.f64 y) (/.f64 z x)) |
(*.f64 x (neg.f64 (/.f64 y z))) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) z) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) z)) |
(/.f64 (-.f64 (/.f64 y z) y) (/.f64 z x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(*.f64 (-.f64 (/.f64 y z) y) (/.f64 x z)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) y)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) y)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) y)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 z)) y)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(/.f64 y z) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
(+.f64 (*.f64 -1 y) (/.f64 y z)) |
(*.f64 y (+.f64 (/.f64 1 z) -1)) |
(*.f64 y (-.f64 (/.f64 1 z) 1)) |
(-.f64 (/.f64 y z) y) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 7.4b | (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) | |
| 4.7b | (*.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z))) | |
| 0.0b | (-.f64 x (/.f64 x z)) | |
| ✓ | 0.0b | (-.f64 x (/.f64 x z)) |
| ✓ | 4.7b | (*.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z))) |
| ✓ | 7.4b | (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
Compiled 42 to 9 computations (78.6% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
| 1× | batch-egg-rewrite |
| 981× | prod-diff_binary64 |
| 322× | log-div_binary64 |
| 260× | fma-def_binary64 |
| 223× | expm1-udef_binary64 |
| 223× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 237 | 36 |
| 2 | 3940 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(*.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z))) |
(-.f64 x (/.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (/.f64 x z)) (pow.f64 z -2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (pow.f64 z 3)))) (sqrt.f64 (/.f64 x (pow.f64 z 3))) (/.f64 x (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (/.f64 x z)) (pow.f64 z -2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 x z)) z)) (/.f64 (sqrt.f64 (/.f64 x z)) z) (/.f64 x (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 z -2)) (neg.f64 (/.f64 x (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (pow.f64 z -2) (neg.f64 (*.f64 (pow.f64 z -2) (/.f64 x z)))) (fma.f64 (neg.f64 (pow.f64 z -2)) (/.f64 x z) (*.f64 (pow.f64 z -2) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 x (pow.f64 z -2)) (neg.f64 (*.f64 (pow.f64 z -2) (/.f64 x z)))) (fma.f64 (neg.f64 (pow.f64 z -2)) (/.f64 x z) (*.f64 (pow.f64 z -2) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 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| 1× | egg-herbie |
| 814× | div-sub_binary64 |
| 522× | associate-/r/_binary64 |
| 507× | fma-neg_binary64 |
| 504× | associate-*l*_binary64 |
| 494× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 1137 |
| 1 | 110 | 1137 |
| 2 | 412 | 1011 |
| 3 | 1855 | 1011 |
| 4 | 6134 | 1011 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) (pow.f64 z 2))) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) (pow.f64 z 2))) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) (pow.f64 z 2))) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) (pow.f64 z 2))) |
(*.f64 -1 (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 x (pow.f64 z 2)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 x (pow.f64 z 2)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) |
(*.f64 -1 (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) (pow.f64 z 2)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) (pow.f64 z 2))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) (pow.f64 z 2))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) (pow.f64 z 2))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) (pow.f64 z 2))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(*.f64 -1 (/.f64 x (pow.f64 z 3))) |
(neg.f64 (/.f64 x (pow.f64 z 3))) |
(/.f64 (neg.f64 x) (pow.f64 z 3)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 (/.f64 x z) z) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 x (pow.f64 z 2)) |
(/.f64 x (*.f64 z z)) |
(/.f64 (/.f64 x z) z) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(+.f64 (/.f64 x (pow.f64 z 2)) (*.f64 -1 (/.f64 x (pow.f64 z 3)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (*.f64 z z) x)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))) |
(neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x))) |
(/.f64 (neg.f64 (*.f64 x y)) (pow.f64 z 4)) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 z 4)) x) |
(*.f64 (/.f64 x (pow.f64 z 4)) (neg.f64 y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) x)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) x)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(/.f64 y (/.f64 (pow.f64 z 3) (-.f64 x (/.f64 x z)))) |
(*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 x (/.f64 x z))) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 z) 1) x)) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(*.f64 -1 (/.f64 x z)) |
(neg.f64 (/.f64 x z)) |
(/.f64 (neg.f64 x) z) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
x |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
x |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x z)) x) |
(*.f64 (-.f64 1 (/.f64 1 z)) x) |
(-.f64 x (/.f64 x z)) |
Compiled 21760 to 8741 computations (59.8% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 820 | 14 | 834 |
| Fresh | 9 | 7 | 16 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 6 | 7 |
| Total | 831 | 27 | 858 |
| Status | Error | Program |
|---|---|---|
| 27.2b | (/.f64 (-.f64 x (/.f64 x z)) (*.f64 (/.f64 z y) (*.f64 z z))) | |
| ✓ | 48.7b | (*.f64 (/.f64 y z) (neg.f64 x)) |
| 50.9b | (/.f64 1 (/.f64 z (*.f64 y x))) | |
| ▶ | 21.2b | (/.f64 (/.f64 x (/.f64 z y)) z) |
| 47.9b | (/.f64 y (/.f64 z x)) | |
| 21.7b | (/.f64 x (*.f64 z (/.f64 z y))) | |
| 21.7b | (/.f64 x (/.f64 z (/.f64 y z))) | |
| 23.7b | (/.f64 (*.f64 (/.f64 (-.f64 x (/.f64 x z)) z) (/.f64 y z)) z) | |
| 25.0b | (*.f64 (/.f64 y z) (/.f64 (/.f64 x z) z)) | |
| 25.9b | (/.f64 (*.f64 (/.f64 (-.f64 x (/.f64 x z)) z) y) (*.f64 z z)) | |
| 27.4b | (*.f64 (/.f64 y z) (/.f64 x (*.f64 z z))) | |
| ▶ | 11.4b | (*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z 1))) |
| ✓ | 29.2b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 48.7b | (*.f64 y (/.f64 (neg.f64 x) z)) | |
| 22.0b | (*.f64 x (/.f64 1 (*.f64 z (/.f64 z y)))) | |
| ✓ | 23.1b | (*.f64 x (/.f64 y (*.f64 z z))) |
| 21.8b | (/.f64 y (/.f64 z (/.f64 x z))) | |
| ✓ | 21.3b | (/.f64 (*.f64 x (/.f64 y z)) z) |
| 24.2b | (*.f64 y (/.f64 x (*.f64 z z))) | |
| ✓ | 29.2b | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
| 25.4b | (/.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 -1 z) 1)) (/.f64 z (/.f64 x z))) | |
| ▶ | 24.1b | (/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 (/.f64 z y) z)) |
| 51.6b | (/.f64 (*.f64 y x) (neg.f64 z)) | |
| 51.2b | (/.f64 (*.f64 y x) z) | |
| ▶ | 48.0b | (/.f64 x (/.f64 z y)) |
| ✓ | 14.5b | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| ▶ | 21.1b | (/.f64 (/.f64 x z) (/.f64 z y)) |
Compiled 555 to 339 computations (38.9% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.1b | (/.f64 y (*.f64 z z)) | |
| 4.9b | (*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z 1))) | |
| 0.0b | (/.f64 x (+.f64 z 1)) | |
| ✓ | 0.0b | (/.f64 x (+.f64 z 1)) |
| ✓ | 4.9b | (*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z 1))) |
| 11.1b | (/.f64 y (*.f64 z z)) |
Compiled 34 to 15 computations (55.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 x (+.f64 z 1)) |
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 z 1)) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 z 1)) |
| 0.0ms | z | @ | 0 | (/.f64 x (+.f64 z 1)) |
| 0.0ms | z | @ | inf | (/.f64 x (+.f64 z 1)) |
| 1× | batch-egg-rewrite |
| 602× | log-prod_binary64 |
| 460× | pow-prod-down_binary64 |
| 297× | pow2_binary64 |
| 236× | log-div_binary64 |
| 211× | pow-unpow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 222 | 23 |
| 2 | 3319 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (+.f64 z 1))) |
(/.f64 x (+.f64 z 1)) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 y x) (+.f64 z 1))) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (+.f64 z 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 z 1) x) (/.f64 (*.f64 z z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z z (pow.f64 z 3)) (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 y x) (+.f64 z 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 z 1) (/.f64 (*.f64 y x) (*.f64 z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 z 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 z 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 z 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 z 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 z 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 z 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 z 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 z 1))) (sqrt.f64 (/.f64 x (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 z 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z 1)) -2) (/.f64 x (cbrt.f64 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 z 1) 2))) (cbrt.f64 (/.f64 x (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 z 1) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 1) -1/2) (/.f64 x (hypot.f64 1 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 z))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 z z -1)) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 z 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 z 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 z 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 z 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 z 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 z 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 z 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 z 1) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 -1 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 z 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 z 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 z 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 z 1)))))))) |
| 1× | egg-herbie |
| 582× | sub-neg_binary64 |
| 470× | associate-*l/_binary64 |
| 464× | associate-/l/_binary64 |
| 306× | fma-def_binary64 |
| 302× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 995 |
| 1 | 190 | 965 |
| 2 | 572 | 860 |
| 3 | 2464 | 834 |
| 4 | 6941 | 834 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 1 z)) |
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(+.f64 (*.f64 (pow.f64 z 2) x) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(+.f64 (*.f64 (pow.f64 z 2) x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) x)) (+.f64 (*.f64 -1 (*.f64 z x)) x))) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 4))) (+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)))) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 4))) (+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)))) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 y x) z))) |
(+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (neg.f64 (/.f64 y (/.f64 z x)))) |
(-.f64 (*.f64 (/.f64 y (*.f64 z z)) x) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (*.f64 y x))) |
(+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 y (/.f64 z x)) (*.f64 y x))) |
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) x) (fma.f64 y x (/.f64 (*.f64 (neg.f64 x) y) z))) |
(fma.f64 y x (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) |
(fma.f64 y x (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y (*.f64 z x)))))) |
(+.f64 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 y (/.f64 z x)) (fma.f64 y x (neg.f64 (*.f64 y (*.f64 x z)))))) |
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) x) (-.f64 (fma.f64 y x (/.f64 (*.f64 (neg.f64 x) y) z)) (*.f64 y (*.f64 x z)))) |
(+.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (*.f64 y (-.f64 x (*.f64 x z)))) |
(+.f64 (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) (*.f64 y (fma.f64 z (neg.f64 x) x))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) x)) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))) |
(-.f64 (/.f64 y (/.f64 (pow.f64 z 3) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))) (/.f64 (*.f64 y x) (pow.f64 z 5))) |
(+.f64 (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) (*.f64 (/.f64 y (pow.f64 z 5)) x)) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (fma.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 5)) x) (-.f64 (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) x)) (*.f64 (/.f64 y (pow.f64 z 6)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 5)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) x)) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))) |
(-.f64 (/.f64 y (/.f64 (pow.f64 z 3) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) |
(*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4)))) |
(*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))) (/.f64 (*.f64 y x) (pow.f64 z 5))) |
(+.f64 (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x)) (*.f64 (/.f64 y (pow.f64 z 5)) x)) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 x (-.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 y (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6))) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 5)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (fma.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 6)) (neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x)))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 5)) x) (-.f64 (-.f64 (/.f64 y (/.f64 (pow.f64 z 3) x)) (*.f64 (/.f64 y (pow.f64 z 6)) x)) (*.f64 (/.f64 y (pow.f64 z 4)) x))) |
(-.f64 (*.f64 x (+.f64 (/.f64 y (pow.f64 z 3)) (/.f64 y (pow.f64 z 5)))) (*.f64 x (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (pow.f64 z 6))))) |
(fma.f64 (/.f64 y (pow.f64 z 5)) x (*.f64 (/.f64 y (pow.f64 z 3)) (-.f64 (-.f64 x (/.f64 x (pow.f64 z 3))) (/.f64 x z)))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 z 2) (+.f64 1 z))) |
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(*.f64 (/.f64 x (+.f64 z 1)) (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z 3))) |
(/.f64 y (/.f64 (fma.f64 z z (pow.f64 z 3)) x)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
(/.f64 x (+.f64 1 z)) |
(/.f64 x (+.f64 z 1)) |
x |
(+.f64 (*.f64 -1 (*.f64 z x)) x) |
(fma.f64 -1 (*.f64 x z) x) |
(-.f64 x (*.f64 x z)) |
(fma.f64 z (neg.f64 x) x) |
(+.f64 (*.f64 (pow.f64 z 2) x) (+.f64 (*.f64 -1 (*.f64 z x)) x)) |
(fma.f64 (*.f64 z z) x (fma.f64 -1 (*.f64 x z) x)) |
(fma.f64 x (*.f64 z z) (-.f64 x (*.f64 x z))) |
(fma.f64 x (-.f64 (*.f64 z z) z) x) |
(+.f64 (*.f64 (pow.f64 z 2) x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) x)) (+.f64 (*.f64 -1 (*.f64 z x)) x))) |
(fma.f64 (*.f64 z z) x (fma.f64 -1 (*.f64 x (pow.f64 z 3)) (fma.f64 -1 (*.f64 x z) x))) |
(fma.f64 x (*.f64 z z) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 x (pow.f64 z 3)))) |
(-.f64 (fma.f64 x (-.f64 (*.f64 z z) z) x) (*.f64 x (pow.f64 z 3))) |
(*.f64 (+.f64 (*.f64 z z) 1) (fma.f64 z (neg.f64 x) x)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z))) |
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 x z) (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (*.f64 z z)))) |
(+.f64 (-.f64 (/.f64 x z) (/.f64 x (*.f64 z z))) (/.f64 x (pow.f64 z 3))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 4))) (+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)))) |
(fma.f64 -1 (/.f64 x (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) (/.f64 x (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 x z) (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (*.f64 z z)))) (/.f64 x (pow.f64 z 4))) |
(+.f64 (/.f64 x z) (-.f64 (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (*.f64 z z))) (/.f64 x (pow.f64 z 4)))) |
(+.f64 (-.f64 (/.f64 x z) (/.f64 x (*.f64 z z))) (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (pow.f64 z 4)))) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) |
(-.f64 (/.f64 x z) (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z))) |
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) (/.f64 x (pow.f64 z 3))) |
(+.f64 (/.f64 x z) (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (*.f64 z z)))) |
(+.f64 (-.f64 (/.f64 x z) (/.f64 x (*.f64 z z))) (/.f64 x (pow.f64 z 3))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 4))) (+.f64 (/.f64 x (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)))) |
(fma.f64 -1 (/.f64 x (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 x z)) (/.f64 x (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 x z) (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (*.f64 z z)))) (/.f64 x (pow.f64 z 4))) |
(+.f64 (/.f64 x z) (-.f64 (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (*.f64 z z))) (/.f64 x (pow.f64 z 4)))) |
(+.f64 (-.f64 (/.f64 x z) (/.f64 x (*.f64 z z))) (-.f64 (/.f64 x (pow.f64 z 3)) (/.f64 x (pow.f64 z 4)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.9b | (/.f64 x (/.f64 z y)) | |
| ✓ | 3.9b | (/.f64 x (/.f64 z y)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (/.f64 z y)) |
| 0.0ms | x | @ | inf | (/.f64 x (/.f64 z y)) |
| 0.0ms | z | @ | inf | (/.f64 x (/.f64 z y)) |
| 0.0ms | x | @ | -inf | (/.f64 x (/.f64 z y)) |
| 0.0ms | z | @ | -inf | (/.f64 x (/.f64 z y)) |
| 1× | batch-egg-rewrite |
| 780× | pow1_binary64 |
| 724× | add-log-exp_binary64 |
| 724× | log1p-expm1-u_binary64 |
| 724× | expm1-log1p-u_binary64 |
| 707× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 131 | 7 |
| 2 | 1915 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 2) (cbrt.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 x (cbrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 13 | 252 |
| 3 | 16 | 252 |
| 4 | 17 | 252 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 y x) z) |
| Outputs |
|---|
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.7b | (/.f64 (/.f64 x z) (/.f64 z y)) | |
| ✓ | 3.7b | (/.f64 (/.f64 x z) (/.f64 z y)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 x z) (/.f64 z y)) |
| 0.0ms | z | @ | 0 | (/.f64 (/.f64 x z) (/.f64 z y)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 x z) (/.f64 z y)) |
| 0.0ms | z | @ | -inf | (/.f64 (/.f64 x z) (/.f64 z y)) |
| 0.0ms | y | @ | inf | (/.f64 (/.f64 x z) (/.f64 z y)) |
| 1× | batch-egg-rewrite |
| 509× | log-prod_binary64 |
| 389× | exp-prod_binary64 |
| 332× | prod-exp_binary64 |
| 284× | pow-prod-down_binary64 |
| 227× | div-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 158 | 10 |
| 2 | 2469 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 x z) (/.f64 z y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x (*.f64 z z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x (*.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x (*.f64 z z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x (*.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) (cbrt.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 x z) y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 x z) y)) -2)) (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) z) (/.f64 1 (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (/.f64 x z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 z z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 z y)) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (/.f64 z y)) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) z) (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x z)) z) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 1 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x z)) 1) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 y z) -2))) (/.f64 (/.f64 1 z) (cbrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) -2) (/.f64 (/.f64 x z) (cbrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (pow.f64 (/.f64 y z) -2))) (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 (pow.f64 (/.f64 y z) -2))) (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (/.f64 z y))) (/.f64 (/.f64 1 z) (sqrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 z y) -1/2) (/.f64 (/.f64 x z) (sqrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 z z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 z z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 z z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 x z) y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 x z) y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 (/.f64 x z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 z y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) (/.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z (/.f64 z y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (*.f64 (/.f64 x z) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x z) (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 x z) y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 x z) y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 x z) y)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 (/.f64 x z) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 z (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (log.f64 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 (log.f64 (/.f64 z y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (*.f64 (log.f64 (/.f64 z y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (log.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 x (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 y z)) (*.f64 (log.f64 (/.f64 x z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x (*.f64 z z))) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 922× | *-commutative_binary64 |
| 896× | associate-/r/_binary64 |
| 624× | times-frac_binary64 |
| 514× | associate-/l/_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 360 |
| 1 | 16 | 360 |
| 2 | 34 | 360 |
| 3 | 75 | 360 |
| 4 | 211 | 360 |
| 5 | 786 | 360 |
| 6 | 3676 | 360 |
| 7 | 4499 | 360 |
| 8 | 4707 | 360 |
| 9 | 4926 | 360 |
| 10 | 5154 | 360 |
| 11 | 5479 | 360 |
| 12 | 6900 | 360 |
| 13 | 7878 | 360 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.9b | (/.f64 x (/.f64 z y)) | |
| 1.6b | (/.f64 (/.f64 x (/.f64 z y)) z) | |
| ✓ | 1.6b | (/.f64 (/.f64 x (/.f64 z y)) z) |
| 3.9b | (/.f64 x (/.f64 z y)) |
Compiled 21 to 6 computations (71.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 x (/.f64 z y)) z) |
| 0.0ms | y | @ | inf | (/.f64 (/.f64 x (/.f64 z y)) z) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 x (/.f64 z y)) z) |
| 0.0ms | z | @ | inf | (/.f64 (/.f64 x (/.f64 z y)) z) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 x (/.f64 z y)) z) |
| 1× | batch-egg-rewrite |
| 515× | log-prod_binary64 |
| 393× | exp-prod_binary64 |
| 334× | prod-exp_binary64 |
| 284× | pow-prod-down_binary64 |
| 223× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 158 | 10 |
| 2 | 2473 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 x (/.f64 z y)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 y z) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x z)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) (*.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) (cbrt.f64 (pow.f64 (/.f64 z (*.f64 y (/.f64 x z))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 z (*.f64 y (/.f64 x z))) -2)) (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (*.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) (neg.f64 y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (*.f64 y (/.f64 x z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1/2) (/.f64 (*.f64 y (/.f64 x z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 y z) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 y z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) 1) (/.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 y z) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (*.f64 y (/.f64 x z))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 y (/.f64 x z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z (*.f64 x y)) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z (/.f64 z y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (*.f64 y (/.f64 x z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (/.f64 x z)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (*.f64 y (/.f64 x z))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 y z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y (/.f64 x z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 y z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 z (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y (/.f64 x z))) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 (log.f64 (/.f64 z y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) 1) (neg.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 z)) (*.f64 (log.f64 (*.f64 y (/.f64 x z))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 y z)))))))) |
| 1× | egg-herbie |
| 922× | *-commutative_binary64 |
| 896× | associate-/r/_binary64 |
| 624× | times-frac_binary64 |
| 514× | associate-/l/_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 360 |
| 1 | 16 | 360 |
| 2 | 34 | 360 |
| 3 | 75 | 360 |
| 4 | 211 | 360 |
| 5 | 786 | 360 |
| 6 | 3676 | 360 |
| 7 | 4499 | 360 |
| 8 | 4707 | 360 |
| 9 | 4926 | 360 |
| 10 | 5154 | 360 |
| 11 | 5479 | 360 |
| 12 | 6900 | 360 |
| 13 | 7878 | 360 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
(/.f64 (*.f64 y x) (pow.f64 z 2)) |
(/.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 x (*.f64 z z))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.0b | (/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 (/.f64 z y) z)) | |
| 0.2b | (*.f64 (/.f64 z y) z) | |
| 0.1b | (/.f64 (-.f64 x (/.f64 x z)) z) | |
| 0.0b | (-.f64 x (/.f64 x z)) | |
| 0.0b | (-.f64 x (/.f64 x z)) | |
| ✓ | 0.1b | (/.f64 (-.f64 x (/.f64 x z)) z) |
| ✓ | 0.2b | (*.f64 (/.f64 z y) z) |
| ✓ | 2.0b | (/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 (/.f64 z y) z)) |
Compiled 42 to 9 computations (78.6% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 x (/.f64 x z)) z) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 x (/.f64 x z)) z) |
| 0.0ms | z | @ | -inf | (/.f64 (-.f64 x (/.f64 x z)) z) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 x (/.f64 x z)) z) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 z y) z) |
| 1× | batch-egg-rewrite |
| 870× | prod-diff_binary64 |
| 778× | log-prod_binary64 |
| 334× | log-div_binary64 |
| 279× | egg-rr |
| 259× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 237 | 33 |
| 2 | 3977 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 (/.f64 z y) z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 872× | div-sub_binary64 |
| 709× | associate-/r*_binary64 |
| 613× | associate-*l/_binary64 |
| 483× | associate-/r/_binary64 |
| 426× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 1117 |
| 1 | 101 | 1117 |
| 2 | 372 | 955 |
| 3 | 1680 | 955 |
| 4 | 7411 | 955 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) z)) |
(*.f64 -1 (/.f64 x (pow.f64 z 2))) |
(+.f64 (/.f64 x z) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) |
(+.f64 (/.f64 x z) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) |
(+.f64 (/.f64 x z) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) (*.f64 y x)) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 1 z) 1) x)) (pow.f64 z 3))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4))) |
(neg.f64 (/.f64 y (/.f64 (pow.f64 z 4) x))) |
(/.f64 (*.f64 (neg.f64 x) y) (pow.f64 z 4)) |
(/.f64 (*.f64 x (neg.f64 y)) (pow.f64 z 4)) |
(*.f64 x (/.f64 (neg.f64 y) (pow.f64 z 4))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) x)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y x) (pow.f64 z 3)) |
(/.f64 y (/.f64 (pow.f64 z 3) x)) |
(*.f64 (/.f64 y (pow.f64 z 3)) x) |
(*.f64 x (/.f64 y (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 z 3)) (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 4)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z 3)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 (pow.f64 z 3) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 z)) (pow.f64 z 3)) (*.f64 y x)) |
(*.f64 (-.f64 x (/.f64 x z)) (/.f64 y (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z 3))) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 z)) x) z) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 z) 1) x) z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(*.f64 -1 (/.f64 x (pow.f64 z 2))) |
(neg.f64 (/.f64 x (*.f64 z z))) |
(/.f64 (neg.f64 x) (*.f64 z z)) |
(/.f64 (/.f64 (neg.f64 x) z) z) |
(+.f64 (/.f64 x z) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(+.f64 (/.f64 x z) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(+.f64 (/.f64 x z) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(/.f64 x z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 x z)) |
(/.f64 (-.f64 1 (/.f64 1 z)) (/.f64 z x)) |
(/.f64 (-.f64 x (/.f64 x z)) z) |
Compiled 25905 to 8541 computations (67% saved)
31 alts after pruning (22 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 926 | 13 | 939 |
| Fresh | 7 | 9 | 16 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 9 | 10 |
| Total | 935 | 31 | 966 |
| Status | Error | Program |
|---|---|---|
| 24.2b | (*.f64 (/.f64 x (*.f64 z z)) y) | |
| 51.2b | (/.f64 (*.f64 y x) z) | |
| 22.1b | (*.f64 x (*.f64 (/.f64 y z) (/.f64 1 z))) | |
| 51.6b | (/.f64 (*.f64 y x) (neg.f64 z)) | |
| 1.6b | (/.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 z 1))) z) | |
| 50.9b | (/.f64 1 (/.f64 z (*.f64 y x))) | |
| ✓ | 21.2b | (/.f64 (/.f64 x (/.f64 z y)) z) |
| 47.9b | (/.f64 y (/.f64 z x)) | |
| 21.7b | (/.f64 x (*.f64 z (/.f64 z y))) | |
| 21.7b | (/.f64 x (/.f64 z (/.f64 y z))) | |
| 27.4b | (*.f64 (/.f64 y z) (/.f64 x (*.f64 z z))) | |
| 26.6b | (*.f64 (/.f64 y (*.f64 z z)) (/.f64 x z)) | |
| 25.0b | (*.f64 (/.f64 y z) (/.f64 (/.f64 x z) z)) | |
| 24.0b | (*.f64 (/.f64 (-.f64 x (/.f64 x z)) z) (/.f64 (/.f64 y z) z)) | |
| 24.0b | (/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)) | |
| ✓ | 14.5b | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| ✓ | 29.2b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 48.7b | (*.f64 y (/.f64 (neg.f64 x) z)) | |
| ✓ | 21.1b | (/.f64 (/.f64 x z) (/.f64 z y)) |
| 12.6b | (/.f64 (/.f64 (*.f64 y x) (+.f64 z 1)) (*.f64 z z)) | |
| ✓ | 23.1b | (*.f64 x (/.f64 y (*.f64 z z))) |
| 48.2b | (*.f64 x (/.f64 y z)) | |
| 21.8b | (/.f64 y (/.f64 z (/.f64 x z))) | |
| ✓ | 21.3b | (/.f64 (*.f64 x (/.f64 y z)) z) |
| 4.0b | (/.f64 (/.f64 y z) (*.f64 (/.f64 (+.f64 z 1) x) z)) | |
| 14.1b | (/.f64 y (*.f64 (*.f64 z z) (/.f64 (+.f64 z 1) x))) | |
| 48.2b | (*.f64 y (/.f64 x z)) | |
| ✓ | 29.2b | (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
| 21.9b | (*.f64 (*.f64 y (/.f64 x z)) (/.f64 1 z)) | |
| ✓ | 48.7b | (*.f64 (/.f64 y z) (neg.f64 x)) |
| ✓ | 48.0b | (/.f64 x (/.f64 z y)) |
Compiled 339 to 210 computations (38.1% saved)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 y (/.f64 z (/.f64 x z))) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 x z) (/.f64 z y)) |
(/.f64 x (/.f64 z (/.f64 y z))) |
(/.f64 x (*.f64 z (/.f64 z y))) |
(/.f64 (/.f64 x (/.f64 z y)) z) |
(/.f64 1 (/.f64 z (*.f64 y x))) |
(*.f64 (/.f64 x (*.f64 z z)) y) |
(*.f64 (*.f64 y (/.f64 x z)) (/.f64 1 z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)) |
(*.f64 (/.f64 y z) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 x (*.f64 z z))) |
(*.f64 x (*.f64 (/.f64 y z) (/.f64 1 z))) |
(/.f64 y (*.f64 (*.f64 z z) (/.f64 (+.f64 z 1) x))) |
(/.f64 (/.f64 y z) (*.f64 (/.f64 (+.f64 z 1) x) z)) |
(/.f64 (/.f64 (*.f64 y x) (+.f64 z 1)) (*.f64 z z)) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
(/.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 z 1))) z) |
(*.f64 (/.f64 (-.f64 x (/.f64 x z)) z) (/.f64 (/.f64 y z) z)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 z 1))) z) |
6 calls:
| 28.0ms | x |
| 15.0ms | z |
| 14.0ms | y |
| 12.0ms | (*.f64 x y) |
| 9.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 1 | x |
| 1.6b | 1 | y |
| 1.6b | 1 | z |
| 1.6b | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 1.6b | 1 | (*.f64 x y) |
| 1.6b | 1 | (*.f64 (*.f64 z z) (+.f64 z 1)) |
Compiled 291 to 110 computations (62.2% saved)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 y (/.f64 z (/.f64 x z))) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 x z) (/.f64 z y)) |
(/.f64 x (/.f64 z (/.f64 y z))) |
(/.f64 x (*.f64 z (/.f64 z y))) |
(/.f64 (/.f64 x (/.f64 z y)) z) |
(/.f64 1 (/.f64 z (*.f64 y x))) |
(*.f64 (/.f64 x (*.f64 z z)) y) |
(*.f64 (*.f64 y (/.f64 x z)) (/.f64 1 z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)) |
(*.f64 (/.f64 y z) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 x (*.f64 z z))) |
(*.f64 x (*.f64 (/.f64 y z) (/.f64 1 z))) |
(/.f64 y (*.f64 (*.f64 z z) (/.f64 (+.f64 z 1) x))) |
(/.f64 (/.f64 y z) (*.f64 (/.f64 (+.f64 z 1) x) z)) |
(/.f64 (/.f64 (*.f64 y x) (+.f64 z 1)) (*.f64 z z)) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| Outputs |
|---|
(/.f64 (/.f64 y z) (*.f64 (/.f64 (+.f64 z 1) x) z)) |
(/.f64 (/.f64 x (/.f64 z y)) z) |
(/.f64 (/.f64 y z) (*.f64 (/.f64 (+.f64 z 1) x) z)) |
(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)) |
6 calls:
| 106.0ms | y |
| 104.0ms | (*.f64 (*.f64 z z) (+.f64 z 1)) |
| 102.0ms | z |
| 36.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 31.0ms | (*.f64 x y) |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 1 | x |
| 1.9b | 4 | y |
| 2.7b | 3 | z |
| 2.4b | 3 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
| 1.9b | 3 | (*.f64 x y) |
| 2.8b | 3 | (*.f64 (*.f64 z z) (+.f64 z 1)) |
Compiled 267 to 101 computations (62.2% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.8545715199816192e+202 | 4.09208600559988e+204 |
| 19.0ms | 5.170845858513643e-255 | 2.6342466937077956e-222 |
| 20.0ms | -2.6325170996799713e-188 | -1.4894954434108403e-189 |
Compiled 48 to 32 computations (33.3% saved)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 y (/.f64 z (/.f64 x z))) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 x z) (/.f64 z y)) |
(/.f64 x (/.f64 z (/.f64 y z))) |
(/.f64 x (*.f64 z (/.f64 z y))) |
(/.f64 (/.f64 x (/.f64 z y)) z) |
(/.f64 1 (/.f64 z (*.f64 y x))) |
(*.f64 (/.f64 x (*.f64 z z)) y) |
(*.f64 (*.f64 y (/.f64 x z)) (/.f64 1 z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)) |
(*.f64 (/.f64 y z) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 x (*.f64 z z))) |
(*.f64 x (*.f64 (/.f64 y z) (/.f64 1 z))) |
(/.f64 y (*.f64 (*.f64 z z) (/.f64 (+.f64 z 1) x))) |
| Outputs |
|---|
(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)) |
(/.f64 (/.f64 x (/.f64 z y)) z) |
(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)) |
3 calls:
| 45.0ms | x |
| 45.0ms | y |
| 37.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 8.7b | 4 | x |
| 7.1b | 4 | y |
| 3.1b | 3 | z |
Compiled 204 to 67 computations (67.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.5055305302485786e-6 | 103.8933693520864 |
| 14.0ms | -6.869219928710647 | -3.932037743229025e-21 |
Compiled 68 to 44 computations (35.3% saved)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 y (/.f64 z (/.f64 x z))) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 x z) (/.f64 z y)) |
(/.f64 x (/.f64 z (/.f64 y z))) |
(/.f64 x (*.f64 z (/.f64 z y))) |
(/.f64 (/.f64 x (/.f64 z y)) z) |
(/.f64 1 (/.f64 z (*.f64 y x))) |
(*.f64 (/.f64 x (*.f64 z z)) y) |
(*.f64 (*.f64 y (/.f64 x z)) (/.f64 1 z)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 z z)) y) |
(/.f64 (/.f64 x (/.f64 z y)) z) |
(*.f64 (/.f64 x (*.f64 z z)) y) |
3 calls:
| 29.0ms | y |
| 27.0ms | z |
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 2 | x |
| 16.8b | 2 | y |
| 15.8b | 3 | z |
Compiled 148 to 52 computations (64.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 7.870928146439336e-41 | 9.155457012427404e-39 |
| 4.0ms | -2.1584457330201276e-135 | -3.2572486454130054e-136 |
Compiled 64 to 42 computations (34.4% saved)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 y (/.f64 z (/.f64 x z))) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 x z) (/.f64 z y)) |
(/.f64 x (/.f64 z (/.f64 y z))) |
(/.f64 x (*.f64 z (/.f64 z y))) |
(/.f64 (/.f64 x (/.f64 z y)) z) |
(/.f64 1 (/.f64 z (*.f64 y x))) |
| Outputs |
|---|
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 x (/.f64 z y)) z) |
(*.f64 x (/.f64 y (*.f64 z z))) |
3 calls:
| 24.0ms | z |
| 23.0ms | y |
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 2 | x |
| 16.8b | 2 | y |
| 16.0b | 3 | z |
Compiled 114 to 43 computations (62.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.424768877322111e-47 | 8.615095785148809e-46 |
| 7.0ms | -1.7688367257842769e-72 | -3.937941008608325e-75 |
Compiled 64 to 42 computations (34.4% saved)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 y (/.f64 z (/.f64 x z))) |
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (/.f64 x z) (/.f64 z y)) |
(/.f64 x (/.f64 z (/.f64 y z))) |
(/.f64 x (*.f64 z (/.f64 z y))) |
| Outputs |
|---|
(*.f64 x (/.f64 y (*.f64 z z))) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(*.f64 x (/.f64 y (*.f64 z z))) |
3 calls:
| 21.0ms | z |
| 20.0ms | y |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 2 | x |
| 16.8b | 2 | y |
| 16.1b | 3 | z |
Compiled 100 to 39 computations (61% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 3.424768877322111e-47 | 8.615095785148809e-46 |
| 6.0ms | -1.7688367257842769e-72 | -3.937941008608325e-75 |
Compiled 64 to 42 computations (34.4% saved)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 y (/.f64 z (/.f64 x z))) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 y (/.f64 z (/.f64 x z))) |
3 calls:
| 16.0ms | z |
| 11.0ms | x |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 19.3b | 2 | x |
| 18.5b | 2 | y |
| 18.5b | 3 | z |
Compiled 72 to 31 computations (56.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.287676829811656e+19 | 1.305400150944385e+20 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 y z)) z) |
3 calls:
| 6.0ms | z |
| 6.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 21.3b | 1 | x |
| 21.3b | 1 | y |
| 21.3b | 1 | z |
Compiled 65 to 29 computations (55.4% saved)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y (/.f64 z x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 y (/.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y x) (neg.f64 z)) |
| Outputs |
|---|
(/.f64 x (/.f64 z y)) |
(/.f64 y (/.f64 z x)) |
3 calls:
| 10.0ms | x |
| 10.0ms | y |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 44.8b | 2 | x |
| 44.8b | 2 | y |
| 47.9b | 1 | z |
Compiled 58 to 28 computations (51.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -166697891364.01862 | -4945648045.856892 |
Compiled 38 to 26 computations (31.6% saved)
Total -6.0b remaining (-13.4%)
Threshold costs -6.0b (-13.4%)
| Inputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
| Outputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 y (/.f64 x z)) |
3 calls:
| 6.0ms | x |
| 6.0ms | y |
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 45.1b | 2 | x |
| 45.1b | 2 | y |
| 48.0b | 1 | z |
Compiled 30 to 18 computations (40% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.5476024964154104e-67 | 3.262886122791641e-67 |
Compiled 20 to 14 computations (30% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 346 |
| 1 | 79 | 346 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 z 1))) z) |
(if (<=.f64 y -8253692214171061/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (/.f64 (/.f64 y z) (*.f64 (/.f64 (+.f64 z 1) x) z)) (if (<=.f64 y 5463459176796523/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (/.f64 (/.f64 x (/.f64 z y)) z) (if (<=.f64 y 999999999999999988769107875063294476509344598295499229975034848840292611823618668444426969460006898451859205345556422454814926130757381236415253871945426239147431949662390511778730879802164258646020587520) (/.f64 (/.f64 y z) (*.f64 (/.f64 (+.f64 z 1) x) z)) (/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))))) |
(if (<=.f64 z -1) (/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)) (if (<=.f64 z 1) (/.f64 (/.f64 x (/.f64 z y)) z) (/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)))) |
(if (<=.f64 z -1636695303948071/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (*.f64 (/.f64 x (*.f64 z z)) y) (if (<=.f64 z 1225996432692711/12259964326927110866866776217202473468949912977468817408) (/.f64 (/.f64 x (/.f64 z y)) z) (*.f64 (/.f64 x (*.f64 z z)) y))) |
(if (<=.f64 z -5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 x (/.f64 y (*.f64 z z))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (/.f64 x (/.f64 z y)) z) (*.f64 x (/.f64 y (*.f64 z z))))) |
(if (<=.f64 z -5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 x (/.f64 y (*.f64 z z))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (*.f64 x (/.f64 y z)) z) (*.f64 x (/.f64 y (*.f64 z z))))) |
(if (<=.f64 y 100000000000000000000) (/.f64 (*.f64 x (/.f64 y z)) z) (/.f64 y (/.f64 z (/.f64 x z)))) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(if (<=.f64 x -100000000000) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))) |
(if (<=.f64 y 2348811896341483/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z))) |
(/.f64 x (/.f64 z y)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 z 1))) z) |
(if (<=.f64 y -8253692214171061/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (/.f64 (/.f64 y z) (*.f64 (/.f64 (+.f64 z 1) x) z)) (if (<=.f64 y 5463459176796523/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (/.f64 (/.f64 x (/.f64 z y)) z) (if (<=.f64 y 999999999999999988769107875063294476509344598295499229975034848840292611823618668444426969460006898451859205345556422454814926130757381236415253871945426239147431949662390511778730879802164258646020587520) (/.f64 (/.f64 y z) (*.f64 (/.f64 (+.f64 z 1) x) z)) (/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))))) |
(if (<=.f64 y -8253692214171061/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (/.f64 (/.f64 y z) (*.f64 z (/.f64 (+.f64 z 1) x))) (if (<=.f64 y 5463459176796523/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672) (/.f64 (/.f64 x (/.f64 z y)) z) (if (<=.f64 y 999999999999999988769107875063294476509344598295499229975034848840292611823618668444426969460006898451859205345556422454814926130757381236415253871945426239147431949662390511778730879802164258646020587520) (/.f64 (/.f64 y z) (*.f64 z (/.f64 (+.f64 z 1) x))) (/.f64 (/.f64 x z) (*.f64 z (/.f64 z y)))))) |
(if (<=.f64 z -1) (/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)) (if (<=.f64 z 1) (/.f64 (/.f64 x (/.f64 z y)) z) (/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z)))) |
(if (<=.f64 z -1) (/.f64 (/.f64 x z) (*.f64 z (/.f64 z y))) (if (<=.f64 z 1) (/.f64 (/.f64 x (/.f64 z y)) z) (/.f64 (/.f64 x z) (*.f64 z (/.f64 z y))))) |
(if (<=.f64 z -1636695303948071/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (*.f64 (/.f64 x (*.f64 z z)) y) (if (<=.f64 z 1225996432692711/12259964326927110866866776217202473468949912977468817408) (/.f64 (/.f64 x (/.f64 z y)) z) (*.f64 (/.f64 x (*.f64 z z)) y))) |
(if (<=.f64 z -1636695303948071/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (*.f64 y (/.f64 x (*.f64 z z))) (if (<=.f64 z 1225996432692711/12259964326927110866866776217202473468949912977468817408) (/.f64 (/.f64 x (/.f64 z y)) z) (*.f64 y (/.f64 x (*.f64 z z))))) |
(if (<=.f64 z -5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 x (/.f64 y (*.f64 z z))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (/.f64 x (/.f64 z y)) z) (*.f64 x (/.f64 y (*.f64 z z))))) |
(if (<=.f64 z -5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 x (/.f64 y (*.f64 z z))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (*.f64 x (/.f64 y z)) z) (*.f64 x (/.f64 y (*.f64 z z))))) |
(if (<=.f64 z -5092589940836215/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (*.f64 x (/.f64 y (*.f64 z z))) (if (<=.f64 z 5142201741628769/51422017416287688817342786954917203280710495801049370729644032) (/.f64 (*.f64 (/.f64 y z) x) z) (*.f64 x (/.f64 y (*.f64 z z))))) |
(if (<=.f64 y 100000000000000000000) (/.f64 (*.f64 x (/.f64 y z)) z) (/.f64 y (/.f64 z (/.f64 x z)))) |
(if (<=.f64 y 100000000000000000000) (/.f64 (*.f64 (/.f64 y z) x) z) (/.f64 y (/.f64 z (/.f64 x z)))) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 (*.f64 (/.f64 y z) x) z) |
(if (<=.f64 x -100000000000) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))) |
(if (<=.f64 y 2348811896341483/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z))) |
(/.f64 x (/.f64 z y)) |
| 1× | fuel |
Compiled 542 to 238 computations (56.1% saved)
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