Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 74.9% | 0.1% | 0% | 25% | 0% | 6 |
| 8.3% | 6.2% | 68.6% | 0.1% | 0% | 25% | 0% | 7 |
| 12.5% | 9.4% | 65.5% | 0.1% | 0% | 25% | 0% | 8 |
| 28.1% | 14% | 35.9% | 0.1% | 12.5% | 37.4% | 0% | 9 |
| 42.2% | 21.1% | 28.9% | 0.1% | 12.5% | 37.4% | 0% | 10 |
| 49.2% | 24.6% | 25.4% | 0.1% | 12.5% | 37.4% | 0% | 11 |
| 57.4% | 28.7% | 21.3% | 0.1% | 12.5% | 37.4% | 0% | 12 |
Compiled 16 to 11 computations (31.3% saved)
| 2.0s | 8255× | body | 256 | valid |
| 35.0ms | 35× | body | 256 | infinite |
| 1.0ms | 1× | body | 1024 | valid |
| 2× | egg-herbie |
| 777× | sub-neg_binary64 |
| 518× | neg-sub0_binary64 |
| 375× | +-commutative_binary64 |
| 365× | fma-def_binary64 |
| 351× | distribute-neg-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 72 |
| 1 | 75 | 72 |
| 2 | 242 | 64 |
| 3 | 1069 | 64 |
| 4 | 3186 | 64 |
| 5 | 4936 | 64 |
| 6 | 6454 | 64 |
| 7 | 7487 | 64 |
| 8 | 7748 | 64 |
| 9 | 7960 | 64 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z) |
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z)) |
(+.f64 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 x (-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (-.f64 y z)) |
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z) |
(+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) (-.f64 x z)) |
(+.f64 x (-.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) z)) |
(+.f64 x (-.f64 (fma.f64 (log.f64 x) (-.f64 -1/2 x) y) z)) |
(+.f64 x (fma.f64 (log.f64 x) (-.f64 -1/2 x) (-.f64 y z))) |
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x) |
(+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y x)) |
(+.f64 y (-.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) x)) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) z) x)) |
(-.f64 z (fma.f64 (-.f64 y -1/2) (log.f64 y) (-.f64 x y))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y) |
(+.f64 (-.f64 x (*.f64 (+.f64 1/2 z) (log.f64 z))) (-.f64 z y)) |
(+.f64 x (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 z y))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 782× | fma-neg_binary64 |
| 608× | unsub-neg_binary64 |
| 579× | distribute-rgt-in_binary64 |
| 435× | sub-neg_binary64 |
| 406× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 25 | 18 |
| 2 | 77 | 16 |
| 3 | 313 | 16 |
| 4 | 983 | 16 |
| 5 | 2897 | 16 |
| 6 | 4515 | 16 |
| 7 | 5009 | 16 |
| 8 | 5174 | 16 |
| 9 | 5201 | 16 |
| 10 | 5218 | 16 |
| 11 | 5528 | 16 |
| 12 | 6396 | 16 |
| 13 | 7994 | 16 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) y)) z) |
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))) |
(+.f64 x (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) |
(+.f64 x (-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))) |
Compiled 26 to 15 computations (42.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
Compiled 15 to 10 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) |
| ✓ | 0.1b | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
| ✓ | 0.2b | (*.f64 (+.f64 y 1/2) (log.f64 y)) |
Compiled 48 to 25 computations (47.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | 0 | (*.f64 (+.f64 y 1/2) (log.f64 y)) |
| 7.0ms | y | @ | -inf | (*.f64 (+.f64 y 1/2) (log.f64 y)) |
| 7.0ms | x | @ | 0 | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
| 3.0ms | y | @ | inf | (*.f64 (+.f64 y 1/2) (log.f64 y)) |
| 1.0ms | y | @ | -inf | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
| 1× | batch-egg-rewrite |
| 556× | fma-def_binary64 |
| 514× | log-prod_binary64 |
| 379× | pow-prod-down_binary64 |
| 302× | fma-neg_binary64 |
| 292× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 212 | 36 |
| 2 | 3192 | 36 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 y 1/2) (log.f64 y)) |
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 y (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 y)) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 y)) (log.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) 1/2) (*.f64 (log.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y (+.f64 y 1/2)))) (log.f64 (sqrt.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (+.f64 1/8 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (log.f64 y) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) y (*.f64 (log.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) 1/2 (*.f64 (log.f64 y) y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y))) (/.f64 (*.f64 y y) (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y x) (log.f64 (pow.f64 y (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 2) (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (sqrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (*.f64 y y)) (/.f64 1 (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2)) (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y)) (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3)) (fma.f64 y y (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (*.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (*.f64 y y)) (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3))) (neg.f64 (fma.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (*.f64 y y))) (neg.f64 (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) 3)) (fma.f64 x x (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) 2) (*.f64 x (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) 2)) (+.f64 x (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 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(log.f64 y)) x))))) |
| 1× | egg-herbie |
| 683× | sub-neg_binary64 |
| 399× | +-commutative_binary64 |
| 366× | neg-sub0_binary64 |
| 324× | distribute-rgt-in_binary64 |
| 323× | neg-mul-1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 698 |
| 1 | 187 | 664 |
| 2 | 517 | 584 |
| 3 | 1285 | 584 |
| 4 | 3701 | 584 |
| 5 | 5733 | 584 |
| 6 | 6888 | 584 |
| 7 | 7658 | 584 |
| 8 | 7995 | 584 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (log.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y))) |
(*.f64 y (log.f64 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
| Outputs |
|---|
(*.f64 1/2 (log.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 y -1/2)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 y -1/2)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 y -1/2)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 y -1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 y -1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 y -1/2)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 y -1/2)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 y -1/2)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 y -1/2)) |
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) -1/2 x) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(neg.f64 (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(*.f64 (neg.f64 (log.f64 y)) (+.f64 1/2 y)) |
(*.f64 (log.f64 y) (-.f64 -1/2 y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) -1/2 x) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y))) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y))) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y))) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(*.f64 y (log.f64 (/.f64 1 y))) |
(*.f64 y (neg.f64 (log.f64 y))) |
(*.f64 (log.f64 y) (neg.f64 y)) |
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(*.f64 y (neg.f64 (log.f64 y))) |
(*.f64 (log.f64 y) (neg.f64 y)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x) |
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x) |
Compiled 4739 to 2957 computations (37.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 211 | 13 | 224 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 212 | 13 | 225 |
| Status | Error | Program |
|---|---|---|
| 32.8b | (-.f64 (-.f64 (+.f64 y x) (log.f64 (pow.f64 y (+.f64 y 1/2)))) z) | |
| ▶ | 0.1b | (-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z) |
| 23.5b | (-.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) z) | |
| 19.9b | (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) | |
| ▶ | 27.2b | (-.f64 x z) |
| 23.5b | (-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z) | |
| ▶ | 0.1b | (-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
| 16.5b | (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) | |
| 16.5b | (-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) | |
| ▶ | 21.8b | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))) y) z) |
| 31.5b | (-.f64 (+.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x) y) z) | |
| ▶ | 7.8b | (-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z) |
| 0.5b | (-.f64 (+.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x) y) z) |
Compiled 396 to 266 computations (32.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (log.f64 y)) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
| ✓ | 0.3b | (*.f64 (-.f64 1 (log.f64 y)) y) |
Compiled 60 to 32 computations (46.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | y | @ | 0 | (*.f64 (-.f64 1 (log.f64 y)) y) |
| 9.0ms | y | @ | -inf | (*.f64 (-.f64 1 (log.f64 y)) y) |
| 9.0ms | y | @ | inf | (*.f64 (-.f64 1 (log.f64 y)) y) |
| 9.0ms | y | @ | -inf | (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
| 1.0ms | y | @ | inf | (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
| 1× | batch-egg-rewrite |
| 651× | fma-def_binary64 |
| 580× | log-prod_binary64 |
| 323× | pow2_binary64 |
| 302× | fma-neg_binary64 |
| 220× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 248 | 42 |
| 2 | 3541 | 41 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 (log.f64 y)) y) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(-.f64 1 (log.f64 y)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (E.f64) y)) 2)) (log.f64 (cbrt.f64 (/.f64 (E.f64) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (E.f64) y))) (log.f64 (sqrt.f64 (/.f64 (E.f64) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2)) (cbrt.f64 (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log.f64 y))) (sqrt.f64 (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 y) 3)) (/.f64 1 (fma.f64 (log.f64 y) (+.f64 1 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 1 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 y) (+.f64 1 (log.f64 y)) 1) (-.f64 1 (pow.f64 (log.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 y) 3)) (fma.f64 (log.f64 y) (+.f64 1 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 y) 3))) (neg.f64 (fma.f64 (log.f64 y) (+.f64 1 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 y) 2))) (neg.f64 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 1 (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 y) (+.f64 1 (log.f64 y)) 1) (-.f64 1 (pow.f64 (log.f64 y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 (E.f64) y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (E.f64) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (neg.f64 (cbrt.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (neg.f64 (sqrt.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 y))) 2) (cbrt.f64 (neg.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (log.f64 y))) (sqrt.f64 (neg.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) 1))))) |
| 1× | egg-herbie |
| 798× | sub-neg_binary64 |
| 681× | unsub-neg_binary64 |
| 402× | fma-neg_binary64 |
| 355× | +-commutative_binary64 |
| 324× | associate--r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 508 |
| 1 | 90 | 362 |
| 2 | 225 | 348 |
| 3 | 561 | 347 |
| 4 | 1859 | 339 |
| 5 | 4493 | 339 |
| 6 | 6378 | 339 |
| 7 | 7217 | 339 |
| 8 | 7571 | 339 |
| 9 | 7731 | 339 |
| 10 | 7815 | 339 |
| 11 | 7837 | 339 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y))) |
x |
x |
x |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) |
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) |
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) |
(*.f64 (-.f64 1 (log.f64 y)) y) |
x |
x |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
| Outputs |
|---|
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(+.f64 x (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) -1/2)) |
(fma.f64 (log.f64 y) -1/2 x) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) (*.f64 1/2 (neg.f64 (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) (*.f64 1/2 (neg.f64 (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) (*.f64 1/2 (neg.f64 (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) (*.f64 1/2 (neg.f64 (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) (*.f64 1/2 (neg.f64 (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) (*.f64 1/2 (neg.f64 (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y))) |
(+.f64 (*.f64 y (-.f64 1 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2)) |
(+.f64 y (*.f64 (neg.f64 (log.f64 y)) (-.f64 y -1/2))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
x |
x |
x |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) |
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) |
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) |
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
x |
x |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 y)) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 y)) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 y)) |
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 y)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 y)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 y)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 y)) |
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(-.f64 1 (log.f64 y)) |
Compiled 8 to 4 computations (50% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 y (log.f64 y))) |
| ✓ | 0.1b | (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) |
| ✓ | 0.3b | (*.f64 y (log.f64 y)) |
Compiled 36 to 8 computations (77.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 y (log.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 y (log.f64 y)) |
| 1.0ms | x | @ | 0 | (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) |
| 1.0ms | y | @ | inf | (*.f64 y (log.f64 y)) |
| 1.0ms | y | @ | -inf | (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) |
| 1× | batch-egg-rewrite |
| 994× | pow1_binary64 |
| 926× | add-log-exp_binary64 |
| 926× | log1p-expm1-u_binary64 |
| 926× | expm1-log1p-u_binary64 |
| 89× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 1 | 162 | 27 |
| 2 | 2522 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (log.f64 y)) |
(+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) |
(-.f64 x (*.f64 y (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (log.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 y (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y))) (/.f64 (*.f64 y y) (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y x) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 2) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y y)) (/.f64 1 (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 y (log.f64 y)))))) (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y)) (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y y)) (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y y))) (neg.f64 (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 y (log.f64 y)) y) 3)) (+.f64 (*.f64 x x) (+.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) y) (-.f64 (*.f64 y (log.f64 y)) y)) (*.f64 x (-.f64 (*.f64 y (log.f64 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 y (log.f64 y)) y) (-.f64 (*.f64 y (log.f64 y)) y))) (+.f64 x (-.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2)) (-.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 (exp.f64 x) (pow.f64 y y)) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (-.f64 x (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (-.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 y (log.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (-.f64 x (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (-.f64 x (*.f64 y (log.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (neg.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 (log.f64 y)) y (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (*.f64 y (neg.f64 (log.f64 y))) 1 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) (sqrt.f64 (*.f64 y (log.f64 y))) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 (log.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (+.f64 (*.f64 y (log.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 y (log.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (+.f64 (*.f64 y (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (neg.f64 (+.f64 (*.f64 y (log.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 (log.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 (log.f64 y))) (*.f64 y (neg.f64 (log.f64 y)))) (*.f64 x (*.f64 y (neg.f64 (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 (log.f64 y))) (*.f64 y (neg.f64 (log.f64 y))))) (-.f64 x (*.f64 y (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 (log.f64 y)))))))) |
| 1× | egg-herbie |
| 3310× | fma-neg_binary64 |
| 630× | fma-def_binary64 |
| 592× | unsub-neg_binary64 |
| 334× | sub-neg_binary64 |
| 308× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 533 |
| 1 | 113 | 447 |
| 2 | 242 | 447 |
| 3 | 565 | 447 |
| 4 | 1291 | 447 |
| 5 | 3215 | 447 |
| 6 | 4169 | 447 |
| 7 | 4660 | 447 |
| 8 | 4837 | 447 |
| 9 | 4899 | 447 |
| 10 | 4916 | 447 |
| 11 | 5629 | 447 |
| 12 | 6011 | 447 |
| 13 | 6235 | 447 |
| 14 | 6427 | 447 |
| 15 | 6491 | 447 |
| 16 | 6491 | 447 |
| 17 | 6555 | 447 |
| 18 | 6555 | 447 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
x |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(*.f64 -1 (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(*.f64 y (log.f64 (/.f64 1 y))) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(*.f64 -1 (*.f64 y (log.f64 y))) |
(neg.f64 (*.f64 y (log.f64 y))) |
(*.f64 y (neg.f64 (log.f64 y))) |
(*.f64 (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
x |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(*.f64 y (log.f64 (/.f64 1 y))) |
(neg.f64 (*.f64 y (log.f64 y))) |
(*.f64 y (neg.f64 (log.f64 y))) |
(*.f64 (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(neg.f64 (*.f64 y (log.f64 y))) |
(*.f64 y (neg.f64 (log.f64 y))) |
(*.f64 (log.f64 y) (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) |
(fma.f64 -1 (*.f64 y (log.f64 y)) x) |
(-.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
| ✓ | 0.2b | (*.f64 (+.f64 1/2 y) (log.f64 y)) |
Compiled 43 to 20 computations (53.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (+.f64 1/2 y) (log.f64 y)) |
| 0.0ms | y | @ | -inf | (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
| 0.0ms | y | @ | -inf | (*.f64 (+.f64 1/2 y) (log.f64 y)) |
| 0.0ms | y | @ | inf | (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 1/2 y) (log.f64 y)) |
| 1× | batch-egg-rewrite |
| 515× | log-prod_binary64 |
| 511× | fma-def_binary64 |
| 395× | pow-prod-down_binary64 |
| 292× | pow2_binary64 |
| 238× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 212 | 24 |
| 2 | 3214 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1/2 y) (log.f64 y)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
| Outputs |
|---|
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y)))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) (log.f64 y))) 2) (*.f64 (+.f64 1/2 y) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (cbrt.f64 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) 1) (log.f64 y) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (+.f64 y x)))))) |
| 1× | egg-herbie |
| 772× | unsub-neg_binary64 |
| 750× | fma-neg_binary64 |
| 618× | fma-def_binary64 |
| 498× | sub-neg_binary64 |
| 439× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 318 |
| 1 | 135 | 302 |
| 2 | 360 | 253 |
| 3 | 1014 | 253 |
| 4 | 2932 | 253 |
| 5 | 5699 | 253 |
| 6 | 7876 | 253 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (log.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) |
x |
x |
| Outputs |
|---|
(*.f64 1/2 (log.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(+.f64 x (*.f64 -1/2 (log.f64 y))) |
(fma.f64 (log.f64 y) -1/2 x) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
x |
x |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)) |
| ✓ | 0.1b | (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) |
| ✓ | 0.1b | (+.f64 (-.f64 x (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))) y) |
| ✓ | 20.3b | (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2))) |
Compiled 123 to 78 computations (36.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (-.f64 x (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))) y) |
| 1.0ms | x | @ | -inf | (+.f64 (-.f64 x (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))) y) |
| 1.0ms | y | @ | -inf | (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2))) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2))) |
| 1× | batch-egg-rewrite |
| 769× | fma-def_binary64 |
| 427× | fma-neg_binary64 |
| 340× | expm1-udef_binary64 |
| 340× | log1p-udef_binary64 |
| 198× | add-sqr-sqrt_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 79 |
| 1 | 394 | 79 |
| 2 | 5626 | 73 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2))) |
(+.f64 (-.f64 x (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))) y) |
(*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) |
(-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 1 (/.f64 (fma.f64 y -1/2 (fma.f64 y y 1/4)) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 y 3)) (*.f64 (log.f64 y) (/.f64 1 (fma.f64 y -1/2 (fma.f64 y y 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (*.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 1 (fma.f64 y -1/2 (fma.f64 y y 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (/.f64 1 (fma.f64 y -1/2 (fma.f64 y y 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y))) (/.f64 1 (fma.f64 y -1/2 (fma.f64 y y 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) (sqrt.f64 (*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y))) (*.f64 (sqrt.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y))) (/.f64 1 (fma.f64 y -1/2 (fma.f64 y y 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (neg.f64 (log.f64 y))) (/.f64 1 (neg.f64 (fma.f64 y -1/2 (fma.f64 y y 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y -1/2 (fma.f64 y y 1/4))) (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) 1) (/.f64 (log.f64 y) (fma.f64 y -1/2 (fma.f64 y y 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 y) 1) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 y 1/2))) (-.f64 (sqrt.f64 (fma.f64 y y 1/4)) (sqrt.f64 (*.f64 y 1/2))) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y y 1/4)) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (fma.f64 y y 1/4)) (sqrt.f64 (*.f64 y 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (cbrt.f64 (*.f64 1/4 (*.f64 y y))) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (*.f64 y y)))) (cbrt.f64 (*.f64 y 1/2)) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 1/4 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 1/4 (*.f64 y -1/2))))))) |
| 1× | egg-herbie |
| 769× | associate-+l+_binary64 |
| 740× | fma-neg_binary64 |
| 606× | associate-+r+_binary64 |
| 564× | times-frac_binary64 |
| 325× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 1058 |
| 1 | 481 | 905 |
| 2 | 1858 | 905 |
| 3 | 6440 | 897 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (log.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2))))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)))))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) (pow.f64 y 2))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))))) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)))))) |
(-.f64 y (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
x |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
x |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x)) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 3))) x))) (*.f64 1/2 (log.f64 y))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)))) |
(+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x))))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)))) |
(*.f64 1/8 (log.f64 y)) |
(+.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (*.f64 1/8 (log.f64 y))) |
(+.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (*.f64 1/8 (log.f64 y))) |
(+.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (*.f64 1/8 (log.f64 y))) |
(*.f64 -1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))) (*.f64 -1/8 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))) (*.f64 -1/8 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))) (*.f64 -1/8 (log.f64 (/.f64 1 y)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3)) |
(+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))) |
(+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))) |
(+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))) |
1/4 |
(+.f64 (*.f64 -1/2 y) 1/4) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(pow.f64 y 2) |
(+.f64 (*.f64 -1/2 y) (pow.f64 y 2)) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(pow.f64 y 2) |
(+.f64 (*.f64 -1/2 y) (pow.f64 y 2)) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
| Outputs |
|---|
(*.f64 1/2 (log.f64 y)) |
(log.f64 (sqrt.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) (pow.f64 y 2))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))))) |
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)))))) |
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 1/2 y)) |
(-.f64 y (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 y (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(-.f64 y (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
(+.f64 y (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) |
(+.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) |
(+.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) |
(+.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) |
(+.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) |
(+.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) |
(+.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) |
(+.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) |
(+.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (+.f64 1/4 (pow.f64 y 2)) (*.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) (log.f64 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y)))) |
(+.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y -1/2 (fma.f64 y y 1/4))) (log.f64 y))) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(+.f64 x (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) -1/2)) |
(-.f64 x (log.f64 (sqrt.f64 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) |
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (log.f64 (sqrt.f64 y))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x)) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) |
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (log.f64 (sqrt.f64 y))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 3))) x))) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) |
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (log.f64 (sqrt.f64 y))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) |
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (log.f64 (sqrt.f64 y))) |
(+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) |
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (log.f64 (sqrt.f64 y))) |
(+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x))))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) |
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (log.f64 (sqrt.f64 y))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(+.f64 y (*.f64 y (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x)) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x)) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))) |
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x)) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x)) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)))) |
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x)) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x)) |
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x)) |
(*.f64 1/8 (log.f64 y)) |
(*.f64 (log.f64 y) 1/8) |
(+.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (*.f64 1/8 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) |
(+.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (*.f64 1/8 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) |
(+.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (*.f64 1/8 (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) |
(*.f64 -1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 (pow.f64 y 3) (neg.f64 (log.f64 y)))) |
(*.f64 (log.f64 y) (pow.f64 y 3)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))) (*.f64 -1/8 (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))) (*.f64 -1/8 (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))) (*.f64 -1/8 (log.f64 (/.f64 1 y)))) |
(*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3)) |
(*.f64 (pow.f64 y 3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(*.f64 (pow.f64 y 3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))) |
(fma.f64 1/8 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 (pow.f64 y 3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 (pow.f64 y 3) 1/8)) |
(+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))) |
(fma.f64 1/8 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 (pow.f64 y 3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 (pow.f64 y 3) 1/8)) |
(+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))) |
(fma.f64 1/8 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 (pow.f64 y 3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 (pow.f64 y 3) 1/8)) |
1/4 |
(+.f64 (*.f64 -1/2 y) 1/4) |
(fma.f64 -1/2 y 1/4) |
(fma.f64 y -1/2 1/4) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) |
(fma.f64 y -1/2 (fma.f64 y y 1/4)) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) |
(fma.f64 y -1/2 (fma.f64 y y 1/4)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 -1/2 y) (pow.f64 y 2)) |
(fma.f64 -1/2 y (*.f64 y y)) |
(*.f64 y (-.f64 y 1/2)) |
(*.f64 y (+.f64 y -1/2)) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) |
(fma.f64 y -1/2 (fma.f64 y y 1/4)) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) |
(fma.f64 y -1/2 (fma.f64 y y 1/4)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 -1/2 y) (pow.f64 y 2)) |
(fma.f64 -1/2 y (*.f64 y y)) |
(*.f64 y (-.f64 y 1/2)) |
(*.f64 y (+.f64 y -1/2)) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) |
(fma.f64 y -1/2 (fma.f64 y y 1/4)) |
(+.f64 (*.f64 -1/2 y) (+.f64 1/4 (pow.f64 y 2))) |
(+.f64 (fma.f64 -1/2 y 1/4) (*.f64 y y)) |
(fma.f64 y -1/2 (fma.f64 y y 1/4)) |
Compiled 21400 to 11843 computations (44.7% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 864 | 14 | 878 |
| Fresh | 6 | 2 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 873 | 18 | 891 |
| Status | Error | Program |
|---|---|---|
| 7.7b | (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) | |
| 32.8b | (-.f64 (-.f64 (+.f64 y x) (log.f64 (pow.f64 y (+.f64 y 1/2)))) z) | |
| ▶ | 31.6b | (-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)) y) z) |
| ▶ | 19.9b | (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
| 8.3b | (-.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3) z) | |
| 1.2b | (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 3)) y) (fma.f64 (log.f64 y) (+.f64 1 (log.f64 y)) 1)) x) (*.f64 1/2 (log.f64 y))) z) | |
| ✓ | 27.2b | (-.f64 x z) |
| ▶ | 0.2b | (-.f64 (-.f64 (fma.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (sqrt.f64 y) x) (*.f64 1/2 (log.f64 y))) z) |
| ✓ | 0.1b | (-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
| 8.3b | (-.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) 3) y) z) | |
| 23.5b | (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) | |
| 46.4b | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (*.f64 y y))) y) z) | |
| 31.5b | (-.f64 (+.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x) y) z) | |
| 0.4b | (-.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) 3) y) x) (*.f64 1/2 (log.f64 y))) z) | |
| ▶ | 16.6b | (-.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))) z) |
| ▶ | 0.6b | (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 1 (log.f64 y))) x) (*.f64 1/2 (log.f64 y))) z) |
| 16.5b | (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) | |
| 16.5b | (-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
Compiled 583 to 390 computations (33.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 1 (log.f64 y)) | |
| ✓ | 0.0b | (-.f64 (fma.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (sqrt.f64 y) x) (*.f64 1/2 (log.f64 y))) |
| ✓ | 0.2b | (fma.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (sqrt.f64 y) x) |
| ✓ | 0.3b | (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) |
Compiled 72 to 33 computations (54.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (fma.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (sqrt.f64 y) x) |
| 3.0ms | y | @ | inf | (fma.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (sqrt.f64 y) x) |
| 3.0ms | y | @ | inf | (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) |
| 2.0ms | y | @ | -inf | (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) |
| 2.0ms | x | @ | 0 | (fma.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (sqrt.f64 y) x) |
| 1× | batch-egg-rewrite |
| 855× | prod-diff_binary64 |
| 580× | log-prod_binary64 |
| 357× | fma-def_binary64 |
| 318× | pow2_binary64 |
| 220× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 1 | 255 | 42 |
| 2 | 3285 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) |
(fma.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (sqrt.f64 y) x) |
(-.f64 (fma.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (sqrt.f64 y) x) (*.f64 1/2 (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 y) (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (E.f64) y) (sqrt.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (E.f64) y) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (E.f64) y) (sqrt.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (E.f64) y) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 3)) (sqrt.f64 y)) (fma.f64 (log.f64 y) (+.f64 1 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (sqrt.f64 y)) (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 y) (-.f64 1 (pow.f64 (log.f64 y) 3))) (fma.f64 (log.f64 y) (+.f64 1 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 y) (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 y 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3/2) (pow.f64 (-.f64 1 (log.f64 y)) 3)) 1/3)))) 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y)) 2)) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) 2) (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) 2) (*.f64 (*.f64 (log.f64 y) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) 2) (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) 2) (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (*.f64 (*.f64 (log.f64 y) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (pow.f64 (-.f64 1 (log.f64 y)) 2))) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y))) (sqrt.f64 y)) (-.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 (log.f64 (sqrt.f64 y)))) (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) -1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))) (sqrt.f64 (fma.f64 (log.f64 y) -1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))) (fma.f64 (*.f64 (log.f64 y) -1/2) 1 (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) -1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))) (sqrt.f64 (fma.f64 (log.f64 y) -1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))) (fma.f64 -1/2 (log.f64 y) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) -1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))) (sqrt.f64 (fma.f64 (log.f64 y) -1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (*.f64 (*.f64 (log.f64 y) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y))) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y))) (sqrt.f64 y)) (-.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 y)) (fma.f64 (log.f64 y) 1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (pow.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) 2))) (fma.f64 (*.f64 (log.f64 y) -1/2) 1 (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 y)) (fma.f64 (log.f64 y) 1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (pow.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) 2))) (fma.f64 -1/2 (log.f64 y) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 y)) (fma.f64 (log.f64 y) 1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (pow.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (log.f64 y)) 1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) 2) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (/.f64 1 (fma.f64 (log.f64 y) 1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))) (fma.f64 (*.f64 (log.f64 y) -1/2) 1 (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) 2) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (/.f64 1 (fma.f64 (log.f64 y) 1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))) (fma.f64 -1/2 (log.f64 y) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) 2) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (/.f64 1 (fma.f64 (log.f64 y) 1/2 (fma.f64 (-.f64 1 (log.f64 y)) y x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (log.f64 y) (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) 2) (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) (-.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) -1/2)) 2) (cbrt.f64 (*.f64 (log.f64 y) -1/2)) (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) (-.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 y) -1/2)) (sqrt.f64 (*.f64 (log.f64 y) -1/2)) (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sqrt.f64 y)))) (sqrt.f64 (log.f64 (sqrt.f64 y))) (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log.f64 (sqrt.f64 y)) (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (sqrt.f64 (log.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (sqrt.f64 (log.f64 (sqrt.f64 y)))) (fma.f64 (*.f64 (log.f64 y) -1/2) 1 (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (sqrt.f64 (log.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (sqrt.f64 (log.f64 (sqrt.f64 y)))) (fma.f64 -1/2 (log.f64 y) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (sqrt.f64 (log.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x)) (sqrt.f64 (log.f64 (sqrt.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y))) (pow.f64 y 1/4)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y))) (pow.f64 y 1/4)) (-.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 2))) (cbrt.f64 (log.f64 (sqrt.f64 y))) (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (fma.f64 (-.f64 1 (log.f64 y)) y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) (-.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (pow.f64 y 1/4)) (pow.f64 y 1/4) (-.f64 x (log.f64 (sqrt.f64 y)))))))) |
| 1× | egg-herbie |
| 732× | fma-def_binary64 |
| 636× | fma-neg_binary64 |
| 537× | unsub-neg_binary64 |
| 371× | distribute-rgt-in_binary64 |
| 357× | distribute-neg-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 292 |
| 1 | 33 | 290 |
| 2 | 62 | 270 |
| 3 | 140 | 269 |
| 4 | 330 | 248 |
| 5 | 834 | 238 |
| 6 | 1503 | 238 |
| 7 | 2339 | 238 |
| 8 | 2769 | 238 |
| 9 | 5268 | 238 |
| 10 | 6172 | 238 |
| 11 | 6534 | 238 |
| 12 | 6680 | 238 |
| 13 | 6756 | 238 |
| 14 | 6758 | 238 |
| 15 | 6990 | 238 |
| 16 | 7313 | 238 |
| 17 | 7405 | 238 |
| 18 | 7495 | 238 |
| 19 | 7583 | 238 |
| 20 | 7665 | 238 |
| 21 | 7749 | 238 |
| 22 | 7841 | 238 |
| 23 | 7931 | 238 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 (-.f64 1 (log.f64 y)) y) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
x |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
x |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
x |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
x |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
| Outputs |
|---|
x |
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(-.f64 y (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(+.f64 x (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) -1/2)) |
(fma.f64 (log.f64 y) -1/2 x) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y))) |
(+.f64 (*.f64 y (-.f64 1 (log.f64 y))) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2)) |
(+.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2))) |
(fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(fma.f64 (log.f64 y) -1/2 (fma.f64 y (-.f64 1 (log.f64 y)) x)) |
(+.f64 x (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(fma.f64 (log.f64 y) -1/2 (fma.f64 y (-.f64 1 (log.f64 y)) x)) |
(+.f64 x (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(fma.f64 (log.f64 y) -1/2 (fma.f64 y (-.f64 1 (log.f64 y)) x)) |
(+.f64 x (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(fma.f64 (log.f64 y) -1/2 (fma.f64 y (-.f64 1 (log.f64 y)) x)) |
(+.f64 x (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(fma.f64 (log.f64 y) -1/2 (fma.f64 y (-.f64 1 (log.f64 y)) x)) |
(+.f64 x (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(fma.f64 (log.f64 y) -1/2 (fma.f64 y (-.f64 1 (log.f64 y)) x)) |
(+.f64 x (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(fma.f64 (log.f64 y) -1/2 (fma.f64 y (-.f64 1 (log.f64 y)) x)) |
(+.f64 x (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(fma.f64 (log.f64 y) -1/2 (fma.f64 y (-.f64 1 (log.f64 y)) x)) |
(+.f64 x (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(fma.f64 (log.f64 y) -1/2 (fma.f64 y (-.f64 1 (log.f64 y)) x)) |
(+.f64 x (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 1/2 (log.f64 y))) |
Compiled 27 to 14 computations (48.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 x (*.f64 1/2 (log.f64 y))) |
| 1.0ms | y | @ | inf | (-.f64 x (*.f64 1/2 (log.f64 y))) |
| 1.0ms | y | @ | -inf | (-.f64 x (*.f64 1/2 (log.f64 y))) |
| 1.0ms | y | @ | 0 | (-.f64 x (*.f64 1/2 (log.f64 y))) |
| 1.0ms | x | @ | inf | (-.f64 x (*.f64 1/2 (log.f64 y))) |
| 1× | batch-egg-rewrite |
| 769× | pow1_binary64 |
| 716× | add-log-exp_binary64 |
| 716× | log1p-expm1-u_binary64 |
| 716× | expm1-log1p-u_binary64 |
| 702× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 152 | 8 |
| 2 | 1991 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 1/2 (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (log.f64 y) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 (neg.f64 (log.f64 y)) 1/2 (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 -1/2 (log.f64 y) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 (*.f64 (log.f64 y) -1/2) 1 (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sqrt.f64 y)))) (sqrt.f64 (log.f64 (sqrt.f64 y))) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) 2) (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) (sqrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 (sqrt.f64 y)) (+.f64 x (log.f64 (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (/.f64 1 (+.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (log.f64 (sqrt.f64 y)) (+.f64 x (log.f64 (sqrt.f64 y))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (fma.f64 x x (*.f64 (log.f64 (sqrt.f64 y)) (+.f64 x (log.f64 (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (+.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 (sqrt.f64 y)) (+.f64 x (log.f64 (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2))) (neg.f64 (+.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) -1/2) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (log.f64 y) -1/2)) (*.f64 x (*.f64 (log.f64 y) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (log.f64 y) -1/2))) (-.f64 x (*.f64 (log.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (log.f64 y) -1/2)))))) |
| 1× | egg-herbie |
| 1205× | distribute-rgt-in_binary64 |
| 608× | fma-def_binary64 |
| 462× | unsub-neg_binary64 |
| 460× | fma-neg_binary64 |
| 376× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 127 |
| 1 | 52 | 127 |
| 2 | 113 | 127 |
| 3 | 247 | 127 |
| 4 | 549 | 127 |
| 5 | 1223 | 127 |
| 6 | 3480 | 127 |
| 7 | 4904 | 127 |
| 8 | 5613 | 127 |
| 9 | 5886 | 127 |
| 10 | 5992 | 127 |
| 11 | 6029 | 127 |
| 12 | 6033 | 127 |
| 13 | 6124 | 127 |
| 14 | 6262 | 127 |
| 15 | 6382 | 127 |
| 16 | 6426 | 127 |
| 17 | 6450 | 127 |
| 18 | 6468 | 127 |
| 19 | 6476 | 127 |
| 20 | 6476 | 127 |
| 21 | 6476 | 127 |
| 22 | 6821 | 127 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (log.f64 y)) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
x |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
x |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
| Outputs |
|---|
(*.f64 -1/2 (log.f64 y)) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(fma.f64 -1/2 (log.f64 y) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(fma.f64 -1/2 (log.f64 y) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(fma.f64 -1/2 (log.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(fma.f64 -1/2 (log.f64 y) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(fma.f64 -1/2 (log.f64 y) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(fma.f64 -1/2 (log.f64 y) x) |
x |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(fma.f64 -1/2 (log.f64 y) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(fma.f64 -1/2 (log.f64 y) x) |
(+.f64 (*.f64 -1/2 (log.f64 y)) x) |
(fma.f64 -1/2 (log.f64 y) x) |
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1/2 (log.f64 y) x) |
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1/2 (log.f64 y) x) |
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1/2 (log.f64 y) x) |
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1/2 (log.f64 y) x) |
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 -1/2 (log.f64 y) x) |
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 -1/2 (log.f64 y) x) |
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 -1/2 (log.f64 y) x) |
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 -1/2 (log.f64 y) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) |
| ✓ | 0.1b | (-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))) |
| ✓ | 15.3b | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y)) |
Compiled 78 to 36 computations (53.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) |
| 2.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y)) |
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y)) |
| 2.0ms | x | @ | 0 | (-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y)) |
| 1× | batch-egg-rewrite |
| 764× | log-prod_binary64 |
| 651× | fma-def_binary64 |
| 321× | fma-neg_binary64 |
| 280× | expm1-udef_binary64 |
| 280× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 54 |
| 1 | 309 | 36 |
| 2 | 4789 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y)) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))) |
(*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (log.f64 y)) (*.f64 (*.f64 y (neg.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) 1/4) (*.f64 (log.f64 y) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (pow.f64 y (-.f64 1/4 (*.f64 y y)))))) (log.f64 (cbrt.f64 (pow.f64 y (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y (-.f64 1/4 (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 y (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) (log.f64 y)) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) (log.f64 y)) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (-.f64 1/4 (*.f64 y y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (-.f64 1/4 (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (-.f64 1/4 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (log.f64 y) (*.f64 (*.f64 y (neg.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) 1/4 (*.f64 (log.f64 y) (*.f64 y (neg.f64 y)))))))) |
| 1× | egg-herbie |
| 735× | times-frac_binary64 |
| 656× | unsub-neg_binary64 |
| 493× | div-sub_binary64 |
| 315× | sub-neg_binary64 |
| 250× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 742 |
| 1 | 210 | 663 |
| 2 | 601 | 623 |
| 3 | 1808 | 613 |
| 4 | 4990 | 613 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (log.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(-.f64 y (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
x |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
x |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(*.f64 1/4 (log.f64 y)) |
(+.f64 (*.f64 1/4 (log.f64 y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 y)))) |
(+.f64 (*.f64 1/4 (log.f64 y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 y)))) |
(+.f64 (*.f64 1/4 (log.f64 y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 y)))) |
(*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
| Outputs |
|---|
(*.f64 1/2 (log.f64 y)) |
(log.f64 (sqrt.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 1/2 y)) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(+.f64 x (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) -1/2)) |
(fma.f64 (log.f64 y) -1/2 x) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x)) |
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(-.f64 y (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(-.f64 y (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))) |
(-.f64 y (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y))) |
(+.f64 y (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y))) |
(+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(+.f64 y (-.f64 x (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y)))) |
(+.f64 y (+.f64 x (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y)))) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(+.f64 y (-.f64 x (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y)))) |
(+.f64 y (+.f64 x (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y)))) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(+.f64 y (-.f64 x (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y)))) |
(+.f64 y (+.f64 x (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y)))) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))) |
x |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(+.f64 y (-.f64 x (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y)))) |
(+.f64 y (+.f64 x (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y)))) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(+.f64 y (-.f64 x (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y)))) |
(+.f64 y (+.f64 x (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y)))) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(+.f64 y (-.f64 x (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y)))) |
(+.f64 y (+.f64 x (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y)))) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))) |
x |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(+.f64 y (-.f64 x (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y)))) |
(+.f64 y (+.f64 x (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y)))) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(+.f64 y (-.f64 x (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y)))) |
(+.f64 y (+.f64 x (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y)))) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))) |
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (log.f64 y)) (-.f64 1/2 y))) |
(+.f64 y (-.f64 x (/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))) |
(+.f64 y (-.f64 x (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)) (log.f64 y)))) |
(+.f64 y (+.f64 x (/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (-.f64 1/2 y)))) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))) |
(*.f64 1/4 (log.f64 y)) |
(*.f64 (log.f64 y) 1/4) |
(+.f64 (*.f64 1/4 (log.f64 y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 y)))) |
(fma.f64 1/4 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) (*.f64 y y)))) |
(*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) |
(+.f64 (*.f64 1/4 (log.f64 y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 y)))) |
(fma.f64 1/4 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) (*.f64 y y)))) |
(*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) |
(+.f64 (*.f64 1/4 (log.f64 y)) (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 y)))) |
(fma.f64 1/4 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) (*.f64 y y)))) |
(*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) |
(*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))) |
(*.f64 (neg.f64 (log.f64 y)) (*.f64 y y)) |
(*.f64 (log.f64 y) (*.f64 y (neg.f64 y))) |
(*.f64 y (*.f64 y (neg.f64 (log.f64 y)))) |
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) |
(fma.f64 1/4 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) (*.f64 y y)))) |
(*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) |
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) |
(fma.f64 1/4 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) (*.f64 y y)))) |
(*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) |
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) |
(fma.f64 1/4 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) (*.f64 y y)))) |
(*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) |
(*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(*.f64 (neg.f64 (log.f64 y)) (*.f64 y y)) |
(*.f64 (log.f64 y) (*.f64 y (neg.f64 y))) |
(*.f64 y (*.f64 y (neg.f64 (log.f64 y)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 1/4 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) (*.f64 y y)))) |
(*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 1/4 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) (*.f64 y y)))) |
(*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(fma.f64 1/4 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) (*.f64 y y)))) |
(*.f64 (log.f64 y) (-.f64 1/4 (*.f64 y y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (*.f64 y (log.f64 y))) |
| ✓ | 0.1b | (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)) y) |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2) |
| 0.3b | (*.f64 y (log.f64 y)) |
Compiled 58 to 21 computations (63.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2) |
| 2.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2) |
| 2.0ms | y | @ | inf | (sqrt.f64 (*.f64 y (log.f64 y))) |
| 2.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2) |
| 2.0ms | y | @ | -inf | (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)) y) |
| 1× | batch-egg-rewrite |
| 538× | fma-def_binary64 |
| 480× | log-prod_binary64 |
| 358× | pow-prod-down_binary64 |
| 269× | fma-neg_binary64 |
| 262× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 227 | 26 |
| 2 | 2903 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2) |
(+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)) y) |
(sqrt.f64 (*.f64 y (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (*.f64 (cbrt.f64 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (log.f64 y)) 1/4) (pow.f64 (*.f64 y (log.f64 y)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 (*.f64 (log.f64 y) (*.f64 y (log.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (log.f64 y)) 3/4) (pow.f64 (*.f64 y (log.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (log.f64 y)) 5/6) (pow.f64 (*.f64 y (log.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 y (log.f64 y)) y) 1/2) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 y (log.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (log.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (log.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 y (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (-.f64 x (fma.f64 y (log.f64 y) y))) (/.f64 (*.f64 y y) (-.f64 x (fma.f64 y (log.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y x) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 2) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (-.f64 y (-.f64 x (*.f64 y (log.f64 y)))) (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2)) (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (fma.f64 y (log.f64 y) y)) (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (/.f64 (exp.f64 x) (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (/.f64 (pow.f64 y y) (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (/.f64 (exp.f64 x) (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (-.f64 x (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2)) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y (neg.f64 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (-.f64 x (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) x) (*.f64 x x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (fma.f64 y (log.f64 y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))) y))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (log.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (log.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (log.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (log.f64 y)) 1/6) (cbrt.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (pow.f64 (*.f64 y (log.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (log.f64 y)) 1/4) (pow.f64 (*.f64 y (log.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (log.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 y (log.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (log.f64 y)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 y (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) 1) 1)))))) |
| 1× | egg-herbie |
| 1649× | fma-neg_binary64 |
| 813× | distribute-rgt-in_binary64 |
| 718× | distribute-lft-in_binary64 |
| 673× | fma-def_binary64 |
| 428× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 126 |
| 1 | 19 | 126 |
| 2 | 38 | 126 |
| 3 | 73 | 117 |
| 4 | 127 | 108 |
| 5 | 224 | 108 |
| 6 | 406 | 108 |
| 7 | 686 | 108 |
| 8 | 974 | 108 |
| 9 | 1902 | 108 |
| 10 | 3757 | 108 |
| 11 | 4209 | 108 |
| 12 | 4443 | 108 |
| 13 | 4499 | 108 |
| 14 | 4519 | 108 |
| 15 | 4899 | 108 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
x |
(+.f64 y x) |
y |
y |
| Outputs |
|---|
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) y) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) (+.f64 y x)) |
(fma.f64 (fma.f64 -1 (log.f64 y) 1) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) (+.f64 y x)) |
(fma.f64 (fma.f64 -1 (log.f64 y) 1) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) (+.f64 y x)) |
(fma.f64 (fma.f64 -1 (log.f64 y) 1) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) (+.f64 y x)) |
(fma.f64 (fma.f64 -1 (log.f64 y) 1) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) (+.f64 y x)) |
(fma.f64 (fma.f64 -1 (log.f64 y) 1) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) (+.f64 y x)) |
(fma.f64 (fma.f64 -1 (log.f64 y) 1) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) (+.f64 y x)) |
(fma.f64 (fma.f64 -1 (log.f64 y) 1) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) (+.f64 y x)) |
(fma.f64 (fma.f64 -1 (log.f64 y) 1) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) (neg.f64 y) (+.f64 y x)) |
(fma.f64 (fma.f64 -1 (log.f64 y) 1) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(+.f64 y x) |
y |
y |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (log.f64 y)) |
| ✓ | 0.2b | (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) |
| ✓ | 0.6b | (pow.f64 (log.f64 y) 2) |
| ✓ | 0.7b | (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 1 (log.f64 y))) |
Compiled 107 to 64 computations (40.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 1 (log.f64 y))) |
| 8.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 1 (log.f64 y))) |
| 3.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 1 (log.f64 y))) |
| 2.0ms | y | @ | 0 | (+.f64 1 (log.f64 y)) |
| 1.0ms | y | @ | -inf | (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) |
| 1× | batch-egg-rewrite |
| 512× | log-prod_binary64 |
| 389× | prod-diff_binary64 |
| 333× | pow-prod-down_binary64 |
| 267× | pow2_binary64 |
| 248× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 219 | 33 |
| 2 | 2981 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 1 (log.f64 y))) |
(pow.f64 (log.f64 y) 2) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) |
(+.f64 1 (log.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 (log.f64 y)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 (log.f64 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 (log.f64 y)) y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 (log.f64 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (log.f64 y)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (+.f64 1 (log.f64 y)) y)) (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (+.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 1 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 1 (/.f64 (+.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 y (/.f64 1 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (/.f64 1 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 2) (*.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) (/.f64 1 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) 2) (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) (*.f64 (sqrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) (/.f64 1 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (neg.f64 y)) (/.f64 1 (+.f64 (neg.f64 (log.f64 y)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) 1) (/.f64 y (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 1) (/.f64 (sqrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) -2) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2)) (/.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (cbrt.f64 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2)) (/.f64 y (cbrt.f64 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2)) (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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| 1× | egg-herbie |
| 354× | associate-/l*_binary64 |
| 332× | fma-neg_binary64 |
| 317× | times-frac_binary64 |
| 316× | cancel-sign-sub-inv_binary64 |
| 289× | div-sub_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 528 |
| 1 | 74 | 480 |
| 2 | 159 | 480 |
| 3 | 490 | 480 |
| 4 | 2668 | 480 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
| Outputs |
|---|
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) |
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2)))) |
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y)))) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
(pow.f64 (log.f64 y) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
(pow.f64 (log.f64 y) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
(pow.f64 (log.f64 y) 2) |
(pow.f64 (log.f64 (/.f64 1 y)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
(pow.f64 (log.f64 y) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
(pow.f64 (log.f64 y) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
(pow.f64 (log.f64 y) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
(pow.f64 (log.f64 y) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) |
(pow.f64 (neg.f64 (log.f64 y)) 2) |
(pow.f64 (log.f64 y) 2) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) |
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) |
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2))) |
(fma.f64 y (neg.f64 (pow.f64 (log.f64 y) 2)) y) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 1 (log.f64 y)) |
Compiled 20609 to 10681 computations (48.2% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 880 | 14 | 894 |
| Fresh | 7 | 4 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 889 | 23 | 912 |
| Status | Error | Program |
|---|---|---|
| 7.7b | (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) | |
| ✓ | 31.6b | (-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)) y) z) |
| ▶ | 42.8b | (-.f64 y z) |
| ✓ | 19.9b | (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
| ▶ | 8.3b | (-.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3) z) |
| ✓ | 27.2b | (-.f64 x z) |
| 35.5b | (-.f64 (*.f64 -1/2 (log.f64 y)) z) | |
| 31.3b | (-.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 1/2 y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) (*.f64 (-.f64 y x) (-.f64 1/2 y))) z) | |
| ▶ | 16.5b | (-.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) z) |
| 16.6b | (-.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 1 (-.f64 1/2 y)) (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) z) | |
| 23.5b | (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) | |
| 8.3b | (-.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) 3) y) z) | |
| 8.0b | (-.f64 (+.f64 (-.f64 x (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)))) y) z) | |
| ▶ | 23.5b | (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
| 31.7b | (-.f64 (+.f64 (-.f64 x (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y)) 2)) y) z) | |
| 16.5b | (-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) | |
| 8.0b | (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) y) z) | |
| ✓ | 16.6b | (-.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))) z) |
| 16.5b | (-.f64 (fma.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 (log.f64 y))) (/.f64 1 (-.f64 1/2 y)) (+.f64 y x)) z) | |
| ▶ | 0.1b | (-.f64 (-.f64 (+.f64 y x) (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1)) z) |
| 27.6b | (-.f64 (+.f64 y x) z) | |
| ✓ | 0.1b | (-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
| 7.8b | (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y))) y) z) |
Compiled 677 to 449 computations (33.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (+.f64 y x) (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1)) |
| 0.2b | (*.f64 (+.f64 y 1/2) (log.f64 y)) | |
| ✓ | 0.2b | (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1) |
| ✓ | 0.2b | (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) |
Compiled 71 to 42 computations (40.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | y | @ | -inf | (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) |
| 1.0ms | y | @ | -inf | (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 y x) (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1)) |
| 1.0ms | y | @ | inf | (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) |
| 1.0ms | y | @ | 0 | (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) |
| 1× | batch-egg-rewrite |
| 587× | log-prod_binary64 |
| 511× | fma-def_binary64 |
| 349× | pow2_binary64 |
| 271× | fma-neg_binary64 |
| 239× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 1 | 291 | 36 |
| 2 | 4090 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) |
(pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1) |
(-.f64 (+.f64 y x) (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1)) |
| Outputs |
|---|
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|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y x) (*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y x) (*.f64 (*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2)) (+.f64 y x)) (fma.f64 (*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y))) 1 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2)) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 2) (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change 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(+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (fma.f64 (*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y))) 1 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 2) (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 (*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y))) (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 2)) (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) (+.f64 y x)))))) |
| 1× | egg-herbie |
| 932× | fma-neg_binary64 |
| 498× | +-commutative_binary64 |
| 364× | associate-/r*_binary64 |
| 339× | times-frac_binary64 |
| 285× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 1241 |
| 1 | 671 | 1104 |
| 2 | 2658 | 958 |
| 3 | 7120 | 952 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (log.f64 y)) |
(+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (*.f64 -4 (/.f64 y (log.f64 y)))) |
(+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (+.f64 (*.f64 -4 (/.f64 y (log.f64 y))) (*.f64 8 (/.f64 (pow.f64 y 2) (log.f64 y))))) |
(+.f64 (*.f64 -16 (/.f64 (pow.f64 y 3) (log.f64 y))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (+.f64 (*.f64 -4 (/.f64 y (log.f64 y))) (*.f64 8 (/.f64 (pow.f64 y 2) (log.f64 y)))))) |
(/.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y))))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 y 4) (log.f64 (/.f64 1 y)))))) (+.f64 (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y))))))) |
(/.f64 1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 4)))))) |
(*.f64 1/2 (log.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (log.f64 y)) (+.f64 (*.f64 -4 (log.f64 y)) (*.f64 2 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y)))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)))))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y))))) (*.f64 -1/8 (log.f64 (/.f64 1 y))))) (pow.f64 y 2))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))))) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)))))) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x)) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 4 (log.f64 y)) (+.f64 (*.f64 -4 (log.f64 y)) (*.f64 2 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y)))))) (pow.f64 y 3)) x))) (*.f64 1/2 (log.f64 y))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)))) |
(+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) (pow.f64 y 2))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 -1/8 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 y 2)))))))))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))) |
(+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (+.f64 (*.f64 -1/8 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))) x)))))) |
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
| Outputs |
|---|
(/.f64 2 (log.f64 y)) |
(+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (*.f64 -4 (/.f64 y (log.f64 y)))) |
(+.f64 (/.f64 2 (log.f64 y)) (*.f64 -4 (/.f64 y (log.f64 y)))) |
(fma.f64 -4 (/.f64 y (log.f64 y)) (/.f64 2 (log.f64 y))) |
(+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (+.f64 (*.f64 -4 (/.f64 y (log.f64 y))) (*.f64 8 (/.f64 (pow.f64 y 2) (log.f64 y))))) |
(+.f64 (/.f64 2 (log.f64 y)) (fma.f64 -4 (/.f64 y (log.f64 y)) (*.f64 8 (/.f64 (*.f64 y y) (log.f64 y))))) |
(+.f64 (/.f64 2 (log.f64 y)) (fma.f64 -4 (/.f64 y (log.f64 y)) (*.f64 8 (/.f64 y (/.f64 (log.f64 y) y))))) |
(+.f64 (*.f64 -16 (/.f64 (pow.f64 y 3) (log.f64 y))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (+.f64 (*.f64 -4 (/.f64 y (log.f64 y))) (*.f64 8 (/.f64 (pow.f64 y 2) (log.f64 y)))))) |
(fma.f64 -16 (/.f64 (pow.f64 y 3) (log.f64 y)) (+.f64 (/.f64 2 (log.f64 y)) (fma.f64 -4 (/.f64 y (log.f64 y)) (*.f64 8 (/.f64 (*.f64 y y) (log.f64 y)))))) |
(+.f64 (fma.f64 -4 (/.f64 y (log.f64 y)) (*.f64 8 (/.f64 (*.f64 y y) (log.f64 y)))) (fma.f64 -16 (/.f64 (pow.f64 y 3) (log.f64 y)) (/.f64 2 (log.f64 y)))) |
(+.f64 (fma.f64 -4 (/.f64 y (log.f64 y)) (*.f64 8 (/.f64 y (/.f64 (log.f64 y) y)))) (fma.f64 -16 (/.f64 (pow.f64 y 3) (log.f64 y)) (/.f64 2 (log.f64 y)))) |
(/.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(/.f64 -1 (*.f64 y (neg.f64 (log.f64 y)))) |
(/.f64 -1 (*.f64 (log.f64 y) (neg.f64 y))) |
(/.f64 1 (*.f64 y (log.f64 y))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (neg.f64 (log.f64 y)))) (/.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) |
(+.f64 (/.f64 1/2 (*.f64 y (*.f64 (log.f64 y) (neg.f64 y)))) (/.f64 -1 (*.f64 (log.f64 y) (neg.f64 y)))) |
(+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (log.f64 y)))) (/.f64 1 (*.f64 y (log.f64 y)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y))))))) |
(-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (neg.f64 (log.f64 y)))) (+.f64 (/.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (/.f64 1/4 (*.f64 (pow.f64 y 3) (neg.f64 (log.f64 y)))))) |
(-.f64 (-.f64 (/.f64 1/2 (*.f64 y (*.f64 (log.f64 y) (neg.f64 y)))) (/.f64 1/4 (*.f64 (pow.f64 y 3) (neg.f64 (log.f64 y))))) (/.f64 1 (*.f64 (log.f64 y) (neg.f64 y)))) |
(+.f64 (/.f64 1 (*.f64 y (log.f64 y))) (-.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (log.f64 y)))) (/.f64 -1/4 (*.f64 (log.f64 y) (pow.f64 y 3))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 y 4) (log.f64 (/.f64 1 y)))))) (+.f64 (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y))))))) |
(+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (neg.f64 (log.f64 y)))) (-.f64 (/.f64 1/8 (*.f64 (neg.f64 (log.f64 y)) (pow.f64 y 4))) (+.f64 (/.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (/.f64 1/4 (*.f64 (pow.f64 y 3) (neg.f64 (log.f64 y))))))) |
(+.f64 (/.f64 1/8 (neg.f64 (*.f64 (pow.f64 y 4) (log.f64 y)))) (-.f64 (-.f64 (/.f64 1/2 (*.f64 y (*.f64 (log.f64 y) (neg.f64 y)))) (/.f64 1/4 (*.f64 (pow.f64 y 3) (neg.f64 (log.f64 y))))) (/.f64 1 (*.f64 (log.f64 y) (neg.f64 y))))) |
(+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (log.f64 y)))) (-.f64 (/.f64 -1/8 (*.f64 (log.f64 y) (pow.f64 y 4))) (+.f64 (/.f64 -1 (*.f64 y (log.f64 y))) (/.f64 -1/4 (*.f64 (log.f64 y) (pow.f64 y 3)))))) |
(/.f64 1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(/.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(-.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))))) |
(-.f64 (/.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 1/2 (*.f64 (*.f64 y y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) |
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 -1/2 (*.f64 (*.f64 y y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))) |
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 -1/2 (*.f64 y y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))))) |
(+.f64 (/.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (-.f64 (/.f64 1/4 (*.f64 (pow.f64 y 3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) (/.f64 1/2 (*.f64 (*.f64 y y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (-.f64 (/.f64 (/.f64 1/4 (pow.f64 y 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 1/2 (*.f64 (*.f64 y y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))) |
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (/.f64 (/.f64 1/4 (pow.f64 y 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 -1/2 (*.f64 y y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 4)))))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 1/4 (*.f64 (pow.f64 y 3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 y 4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))))) |
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (-.f64 (/.f64 (/.f64 1/4 (pow.f64 y 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) (/.f64 1/8 (*.f64 (pow.f64 y 4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))))) |
(+.f64 (/.f64 (/.f64 -1/2 (*.f64 y y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (-.f64 (/.f64 (/.f64 1/4 (pow.f64 y 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 1/8 (pow.f64 y 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))) |
(*.f64 1/2 (log.f64 y)) |
(*.f64 (log.f64 y) 1/2) |
(log.f64 (sqrt.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2))))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (log.f64 y)) (+.f64 (*.f64 -4 (log.f64 y)) (*.f64 2 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y)))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)))))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y))))) (*.f64 -1/8 (log.f64 (/.f64 1 y))))) (pow.f64 y 2))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2)) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))))) |
(fma.f64 1/4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y) (fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y (*.f64 -1/4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y))))) |
(fma.f64 1/4 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) y) (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2)) (*.f64 -1/4 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) y)))) |
(+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2)) 0) |
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2) 0) |
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)))))) |
(fma.f64 1/4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y) (fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y (*.f64 -1/4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y))))) |
(fma.f64 1/4 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) y) (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2)) (*.f64 -1/4 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) y)))) |
(+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2)) 0) |
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2) 0) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(+.f64 x (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) -1/2)) |
(-.f64 x (log.f64 (sqrt.f64 y))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x)) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 4 (log.f64 y)) (+.f64 (*.f64 -4 (log.f64 y)) (*.f64 2 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y)))))) (pow.f64 y 3)) x))) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y))))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) (pow.f64 y 2))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 -1/8 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 y 2)))))))))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(*.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) |
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x)) |
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x)) |
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))) |
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x)) |
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x)) |
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x)) |
(+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (+.f64 (*.f64 -1/8 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))) x)))))) |
(fma.f64 1/8 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y y)) (fma.f64 -1 (/.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) 0) y) (fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 -1/2 (/.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) 0) (*.f64 y y)) (fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) (fma.f64 -1/8 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y y)) x)))))) |
(+.f64 (+.f64 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (fma.f64 -1/8 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 y y)) x)) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (/.f64 (/.f64 0 y) y))) (fma.f64 1/8 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 y y)) (/.f64 0 y))) |
(fma.f64 1/8 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 y y)) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (fma.f64 -1/8 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 y y)) x)))) |
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y))) |
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2)) |
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) |
Compiled 8 to 4 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 y (*.f64 y (log.f64 y))) |
| 0.3b | (*.f64 y (log.f64 y)) |
Compiled 25 to 7 computations (72% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (-.f64 y (*.f64 y (log.f64 y))) |
| 0.0ms | y | @ | inf | (-.f64 y (*.f64 y (log.f64 y))) |
| 0.0ms | y | @ | -inf | (-.f64 y (*.f64 y (log.f64 y))) |
| 1× | batch-egg-rewrite |
| 630× | pow1_binary64 |
| 587× | add-log-exp_binary64 |
| 587× | log1p-expm1-u_binary64 |
| 587× | expm1-log1p-u_binary64 |
| 575× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 111 | 9 |
| 2 | 1614 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 y (*.f64 y (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (log.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 (log.f64 y) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 (log.f64 y)) y (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y (log.f64 y))) (fma.f64 (*.f64 (log.f64 y) (neg.f64 y)) 1 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) (sqrt.f64 (*.f64 y (log.f64 y))) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (neg.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) 2) (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) (sqrt.f64 (-.f64 y (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y (log.f64 y)) (+.f64 y (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (+.f64 y (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y (log.f64 y)) (+.f64 y (*.f64 y (log.f64 y))))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 y (log.f64 y))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 y y (*.f64 (*.f64 y (log.f64 y)) (+.f64 y (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) 2)) (+.f64 y (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (log.f64 y)) (+.f64 y (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) 2))) (neg.f64 (+.f64 y (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (log.f64 y) (neg.f64 y)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (log.f64 y) (neg.f64 y)) (*.f64 (log.f64 y) (neg.f64 y))) (*.f64 y (*.f64 (log.f64 y) (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (log.f64 y) (neg.f64 y)) (*.f64 (log.f64 y) (neg.f64 y)))) (-.f64 y (*.f64 (log.f64 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 y) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (log.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (log.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (log.f64 y) (neg.f64 y))))))) |
| 1× | egg-herbie |
| 776× | fma-def_binary64 |
| 743× | unsub-neg_binary64 |
| 727× | distribute-rgt-in_binary64 |
| 572× | distribute-lft-in_binary64 |
| 532× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 108 |
| 1 | 56 | 108 |
| 2 | 126 | 108 |
| 3 | 365 | 108 |
| 4 | 756 | 108 |
| 5 | 1781 | 108 |
| 6 | 4678 | 108 |
| 7 | 6101 | 108 |
| 8 | 6433 | 108 |
| 9 | 6532 | 108 |
| 10 | 6573 | 108 |
| 11 | 6580 | 108 |
| 12 | 7772 | 108 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
| Outputs |
|---|
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 (-.f64 1 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) | |
| ✓ | 0.1b | (-.f64 (+.f64 y x) (*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) |
| ✓ | 0.2b | (*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2)) |
| ✓ | 16.1b | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) |
Compiled 110 to 51 computations (53.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) |
| 0.0ms | y | @ | -inf | (-.f64 (+.f64 y x) (*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2)) |
| 1× | batch-egg-rewrite |
| 724× | fma-def_binary64 |
| 404× | fma-neg_binary64 |
| 308× | expm1-udef_binary64 |
| 308× | log1p-udef_binary64 |
| 180× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 81 |
| 1 | 341 | 81 |
| 2 | 5501 | 81 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2)) |
(-.f64 (+.f64 y x) (*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) |
| Outputs |
|---|
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y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (-.f64 x (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2))))) (sqrt.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y 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(2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2))))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2))))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2))) 2)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2))))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2))) 2))) (cbrt.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y))) 1) (+.f64 y 1/2) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y))) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y))) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)) (+.f64 y x)))))) |
| 1× | egg-herbie |
| 780× | fma-neg_binary64 |
| 706× | fma-def_binary64 |
| 613× | unsub-neg_binary64 |
| 511× | sub-neg_binary64 |
| 383× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 516 |
| 1 | 142 | 500 |
| 2 | 382 | 406 |
| 3 | 1095 | 406 |
| 4 | 3187 | 406 |
| 5 | 5660 | 406 |
| 6 | 7496 | 406 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 y) |
(log.f64 y) |
(log.f64 y) |
(log.f64 y) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(*.f64 1/2 (log.f64 y)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
| Outputs |
|---|
(log.f64 y) |
(log.f64 y) |
(log.f64 y) |
(log.f64 y) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(log.f64 y) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(log.f64 y) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(log.f64 y) |
(*.f64 -1 (log.f64 (/.f64 1 y))) |
(log.f64 y) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(log.f64 y) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(log.f64 y) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(log.f64 y) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) |
(log.f64 y) |
(*.f64 1/2 (log.f64 y)) |
(*.f64 (log.f64 y) 1/2) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) |
(*.f64 (log.f64 y) (+.f64 y 1/2)) |
(-.f64 x (*.f64 1/2 (log.f64 y))) |
(+.f64 x (*.f64 -1/2 (log.f64 y))) |
(+.f64 x (*.f64 (log.f64 y) -1/2)) |
(fma.f64 (log.f64 y) -1/2 x) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 y (-.f64 1 (log.f64 y))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(fma.f64 y (neg.f64 (log.f64 y)) y) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) |
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
x |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) |
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y))) |
(fma.f64 y (-.f64 1 (log.f64 y)) (+.f64 x (*.f64 (log.f64 y) -1/2))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) |
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
| 0.3b | (*.f64 y (log.f64 y)) | |
| ✓ | 0.6b | (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3) |
Compiled 60 to 14 computations (76.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3) |
| 4.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3) |
| 2.0ms | x | @ | -inf | (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) |
| 1.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3) |
| 1× | batch-egg-rewrite |
| 495× | log-prod_binary64 |
| 428× | fma-def_binary64 |
| 368× | pow-prod-down_binary64 |
| 269× | pow2_binary64 |
| 210× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 229 | 38 |
| 2 | 2979 | 38 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3) |
(cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) |
(+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 (log.f64 y) (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y x) (*.f64 (log.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 y x)) (pow.f64 y y))) 2)) (log.f64 (cbrt.f64 (/.f64 (exp.f64 (+.f64 y x)) (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 (+.f64 y x)) (pow.f64 y y)))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 (+.f64 y x)) (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 y (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y x) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))) (/.f64 (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 2) (-.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))) (cbrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 2)) (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)))) (cbrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 1/6) (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))) (sqrt.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 2)) (/.f64 1 (-.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 5/6) (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 2)) 1) (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))) (cbrt.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) y))) (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) (-.f64 (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 3)) (fma.f64 y y (*.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 3)) (+.f64 (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 2) (-.f64 (*.f64 y y) (*.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 2)) (-.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 3))) (neg.f64 (fma.f64 y y (*.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 2))) (neg.f64 (-.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 y x) 2) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 (+.f64 y x) (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (+.f64 (+.f64 y x) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) 2) (*.f64 y y)) (-.f64 (fma.f64 (log.f64 y) (neg.f64 y) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 y x)) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 y x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))))) 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (neg.f64 y) x))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 (exp.f64 x) (pow.f64 y y)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (neg.f64 y) x))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 y x)) (pow.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (fma.f64 (log.f64 y) (neg.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 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(*.f64 (log.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))) y))))) |
| 1× | egg-herbie |
| 811× | times-frac_binary64 |
| 606× | distribute-rgt-in_binary64 |
| 601× | distribute-lft-in_binary64 |
| 492× | associate-+l+_binary64 |
| 473× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 2189 |
| 1 | 666 | 1820 |
| 2 | 2438 | 1760 |
| 3 | 7397 | 1760 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9)))) y)) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 x) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 x) 1/9)))))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9)))) y))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 x) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 x) 1/9)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) (pow.f64 1 1/3))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) x))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))))) (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9)))) y)))) |
(*.f64 (pow.f64 1 1/3) (-.f64 y (*.f64 y (log.f64 y)))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 y (*.f64 y (log.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9))) x)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 y (*.f64 y (log.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9))) x) (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/9)) (*.f64 (pow.f64 (*.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)))))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 y (*.f64 y (log.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/9)) (*.f64 (pow.f64 (*.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (pow.f64 1 1/3))) (*.f64 (pow.f64 (*.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/3) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))))) (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/3)))))))) (pow.f64 x 3))))) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) |
(+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))))) |
(pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 1/3) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/9) x)) (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 1/3)) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/9) x)) (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 1/3))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/9) x)) (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 1/3)))) |
x |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) x) |
x |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9)))) y)) |
(+.f64 x (*.f64 y (*.f64 (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) 1))) |
(fma.f64 y (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) x) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 x) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 x) 1/9)))))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9)))) y))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (fma.f64 (cbrt.f64 x) (fma.f64 -2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) (*.f64 (*.f64 1/9 (pow.f64 (-.f64 1 (log.f64 y)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) 2/9))) (*.f64 y (*.f64 (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) 1)))) |
(+.f64 x (fma.f64 y (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) (*.f64 (*.f64 y y) (fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (fma.f64 (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) 2/9))))))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) (*.f64 y (+.f64 (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) -1/9)) (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) 1/9)))))) |
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 x) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 x) 1/9)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) (pow.f64 1 1/3))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) x))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))))) (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1 (log.f64 y)) (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9)))) y)))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (fma.f64 (cbrt.f64 x) (fma.f64 -2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) (*.f64 (*.f64 1/9 (pow.f64 (-.f64 1 (log.f64 y)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) 2/9))) (fma.f64 (fma.f64 -1/3 (*.f64 1 (fma.f64 1/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (*.f64 -2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x))))))) (fma.f64 -2/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (*.f64 1 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (fma.f64 (cbrt.f64 x) (fma.f64 -2/3 (*.f64 (fma.f64 1/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (*.f64 -2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))))) (cbrt.f64 (/.f64 1 x))) (*.f64 -2/27 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) x))) (*.f64 1/3 (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (fma.f64 -2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) (*.f64 (*.f64 1/9 (pow.f64 (-.f64 1 (log.f64 y)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))))))) (pow.f64 y 3) (*.f64 y (*.f64 (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) 1))))) |
(+.f64 x (fma.f64 (*.f64 y y) (fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (fma.f64 (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) 2/9)))) (fma.f64 y (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) (*.f64 (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) -5/27) (fma.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) -2/27 (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))) -1/9) (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) (*.f64 (cbrt.f64 x) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) -5/27) (*.f64 -2/27 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) x))))))) (pow.f64 y 3))))) |
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(*.f64 (pow.f64 1 1/3) (-.f64 y (*.f64 y (log.f64 y)))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 y (*.f64 y (log.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9))) x)) |
(+.f64 (-.f64 y (*.f64 y (log.f64 y))) (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18)) 1))) |
(fma.f64 x (*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18)) (-.f64 y (*.f64 y (log.f64 y)))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 y (*.f64 y (log.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9))) x) (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/9)) (*.f64 (pow.f64 (*.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)))))) (pow.f64 x 2)))) |
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(+.f64 (-.f64 y (*.f64 y (log.f64 y))) (*.f64 x (+.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18)) (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 y) (-.f64 1 (log.f64 y))) 1/18) (pow.f64 (/.f64 (/.f64 1 y) (-.f64 1 (log.f64 y))) 1/18)) 1/9)) x)))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 y (*.f64 y (log.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/9)) (*.f64 (pow.f64 (*.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (pow.f64 1 1/3))) (*.f64 (pow.f64 (*.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/3) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))))) (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/3)))))))) (pow.f64 x 3))))) |
(+.f64 (-.f64 y (*.f64 y (log.f64 y))) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18)) 1) x (fma.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/18)) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/18)) (*.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18)) -1/9)))) (*.f64 x x) (*.f64 (+.f64 (*.f64 -2/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18)) -1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18))) (fma.f64 -1/3 (*.f64 1 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)))) (*.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)))))) (*.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) (fma.f64 -2/27 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)))) (*.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))))) (cbrt.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))))))))))) (pow.f64 x 3))))) |
(+.f64 (-.f64 y (*.f64 y (log.f64 y))) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18)) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))) 1/18)) 1/9)) (*.f64 (fma.f64 -2/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) -5/27) (*.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) -5/27) (cbrt.f64 (/.f64 1 (-.f64 y (*.f64 y (log.f64 y)))))) (/.f64 -2/27 (-.f64 y (*.f64 y (log.f64 y))))))))) (pow.f64 x 3))))) |
(+.f64 (fma.f64 x (*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4) 1/18)) (-.f64 y (*.f64 y (log.f64 y)))) (*.f64 (*.f64 x x) (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 y) (-.f64 1 (log.f64 y))) 1/18) (pow.f64 (/.f64 (/.f64 1 y) (-.f64 1 (log.f64 y))) 1/18)) 1/9)) (*.f64 (fma.f64 -2/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 4)) 1/18)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18)))) (fma.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) -5/27) (cbrt.f64 (/.f64 (/.f64 1 y) (-.f64 1 (log.f64 y))))) (/.f64 -2/27 (-.f64 y (*.f64 y (log.f64 y))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) -5/27))))) x)))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) |
(+.f64 (cbrt.f64 x) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 y (-.f64 1 (log.f64 y)))))) |
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (-.f64 y (*.f64 y (log.f64 y))))) (cbrt.f64 x)) |
(fma.f64 1/3 (*.f64 y (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) (cbrt.f64 x)) |
(+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))))) |
(fma.f64 -1/9 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (-.f64 1 (log.f64 y)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (+.f64 (cbrt.f64 x) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 y (-.f64 1 (log.f64 y))))))) |
(fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (-.f64 y (*.f64 y (log.f64 y))))) (cbrt.f64 x))) |
(fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (fma.f64 1/3 (*.f64 y (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) (cbrt.f64 x))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))) (+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (fma.f64 1/27 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (*.f64 -2/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))))) (pow.f64 y 3))) (fma.f64 -1/9 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (-.f64 1 (log.f64 y)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (+.f64 (cbrt.f64 x) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 y (-.f64 1 (log.f64 y)))))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) -5/27) (pow.f64 y 3))) (fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (-.f64 y (*.f64 y (log.f64 y))))) (cbrt.f64 x)))) |
(fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) -5/27) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 y 3))) (fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (fma.f64 1/3 (*.f64 y (*.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) (cbrt.f64 x)))) |
(pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 1/3) |
(cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/9) x)) (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 1/3)) |
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18))) (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/9) x)) (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 1/3))) |
(fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/18))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18))) (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))))) |
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/9) x)) (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 1/3)))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) (*.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)))) (*.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))))) (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/18))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18))) (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y))))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) -5/27) (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/18))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18))) (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y))))))) |
(fma.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) -5/27) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2))) (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 7)) 1/18))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 y (log.f64 y))) 2)) 1/18))) (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y))))))) |
x |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 y (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(*.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) |
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(-.f64 y (*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x) |
(fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x) |
(fma.f64 y (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 y))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x) |
(fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x) |
(fma.f64 y (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 y))) x) |
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) |
(fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x) |
(fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x) |
(fma.f64 y (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 y))) x) |
(-.f64 y (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
x |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) |
(fma.f64 (-.f64 1 (log.f64 y)) y x) |
(fma.f64 y (-.f64 1 (log.f64 y)) x) |
Compiled 25587 to 13327 computations (47.9% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 864 | 8 | 872 |
| Fresh | 5 | 8 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 6 | 9 |
| Total | 873 | 22 | 895 |
| Status | Error | Program |
|---|---|---|
| 7.7b | (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) | |
| 23.8b | (-.f64 (-.f64 y (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)) z) | |
| ✓ | 42.8b | (-.f64 y z) |
| 0.2b | (-.f64 (-.f64 (+.f64 y x) (/.f64 (+.f64 y 1/2) (/.f64 1 (log.f64 y)))) z) | |
| ✓ | 19.9b | (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
| ✓ | 27.2b | (-.f64 x z) |
| 23.5b | (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) | |
| 35.5b | (-.f64 (*.f64 -1/2 (log.f64 y)) z) | |
| 23.8b | (-.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) 3) z) | |
| 0.1b | (-.f64 (-.f64 (+.f64 y x) (/.f64 1 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))))) z) | |
| 31.7b | (-.f64 (+.f64 (-.f64 x (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y)) 2)) y) z) | |
| 16.5b | (-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) | |
| 24.2b | (-.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (*.f64 y (*.f64 y (neg.f64 (log.f64 y)))) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) z) | |
| 8.0b | (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) y) z) | |
| ✓ | 16.6b | (-.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))) z) |
| 16.5b | (-.f64 (fma.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 (log.f64 y))) (/.f64 1 (-.f64 1/2 y)) (+.f64 y x)) z) | |
| 16.6b | (-.f64 (-.f64 (+.f64 y x) (*.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) (+.f64 y 1/2))) z) | |
| 27.6b | (-.f64 (+.f64 y x) z) | |
| ✓ | 0.1b | (-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
| ✓ | 23.5b | (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
| 0.1b | (-.f64 (-.f64 (+.f64 y x) (*.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 y 1/2))) z) | |
| 7.8b | (-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y))) y) z) |
Compiled 338 to 231 computations (31.7% saved)
| Inputs |
|---|
(-.f64 y z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) |
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) |
(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z) |
(-.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
(-.f64 (-.f64 (+.f64 y x) (/.f64 (+.f64 y 1/2) (/.f64 1 (log.f64 y)))) z) |
(-.f64 (-.f64 (+.f64 y x) (/.f64 1 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 y 1/2))) z) |
(-.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 1 (-.f64 1/2 y)) (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (*.f64 y (*.f64 y (neg.f64 (log.f64 y)))) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) (+.f64 y 1/2))) z) |
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 1/2 y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) (*.f64 (-.f64 y x) (-.f64 1/2 y))) z) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) |
(-.f64 (-.f64 (+.f64 y x) (log.f64 (pow.f64 y (+.f64 y 1/2)))) z) |
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (-.f64 (+.f64 y x) (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1)) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (*.f64 y y))) y) z) |
(-.f64 (fma.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 (log.f64 y))) (/.f64 1 (-.f64 1/2 y)) (+.f64 y x)) z) |
(-.f64 (-.f64 y (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)) z) |
(-.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) 3) z) |
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)) y) z) |
(-.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 3) z) |
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) 3) y) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y))) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))) y) z) |
(-.f64 (+.f64 (-.f64 x (pow.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 y)) 2)) y) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)))) y) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) y) z) |
(-.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) 3) y) x) (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 1 (log.f64 y))) x) (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x) y) z) |
(-.f64 (-.f64 (fma.f64 (*.f64 (-.f64 1 (log.f64 y)) (sqrt.f64 y)) (sqrt.f64 y) x) (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x) y) z) |
(-.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 3)) y) (fma.f64 (log.f64 y) (+.f64 1 (log.f64 y)) 1)) x) (*.f64 1/2 (log.f64 y))) z) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z) |
5 calls:
| 39.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
| 38.0ms | z |
| 25.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| 24.0ms | y |
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| 0.1b | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
Compiled 747 to 374 computations (49.9% saved)
| Inputs |
|---|
(-.f64 y z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) |
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) |
(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z) |
(-.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
(-.f64 (-.f64 (+.f64 y x) (/.f64 (+.f64 y 1/2) (/.f64 1 (log.f64 y)))) z) |
(-.f64 (-.f64 (+.f64 y x) (/.f64 1 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 y 1/2))) z) |
(-.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 1 (-.f64 1/2 y)) (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (*.f64 y (*.f64 y (neg.f64 (log.f64 y)))) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) (+.f64 y 1/2))) z) |
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 1/2 y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)))) (*.f64 (-.f64 y x) (-.f64 1/2 y))) z) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) |
(-.f64 (-.f64 (+.f64 y x) (log.f64 (pow.f64 y (+.f64 y 1/2)))) z) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 y x) (*.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 y 1/2))) z) |
5 calls:
| 67.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
| 21.0ms | z |
| 17.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| 15.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| 0.1b | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
Compiled 414 to 210 computations (49.3% saved)
| Inputs |
|---|
(-.f64 y z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) |
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) |
(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z) |
(-.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
(-.f64 (-.f64 (+.f64 y x) (/.f64 (+.f64 y 1/2) (/.f64 1 (log.f64 y)))) z) |
(-.f64 (-.f64 (+.f64 y x) (/.f64 1 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))))) z) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
5 calls:
| 48.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| 34.0ms | z |
| 20.0ms | x |
| 17.0ms | y |
| 12.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z) |
| 0.1b | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) |
Compiled 223 to 116 computations (48% saved)
| Inputs |
|---|
(-.f64 y z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) |
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) |
(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z) |
(-.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) z) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) |
(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) |
3 calls:
| 54.0ms | z |
| 46.0ms | x |
| 37.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
| 0.9b | 2 | y |
| 6.7b | 3 | z |
Compiled 141 to 70 computations (50.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 1015.7974610846379 | 2306402.47631479 |
| 44.0ms | -1131705068282.932 | -0.016456969911215636 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
(-.f64 y z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) |
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) |
| Outputs |
|---|
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) |
3 calls:
| 66.0ms | x |
| 27.0ms | y |
| 15.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 5.6b | 5 | x |
| 0.9b | 2 | y |
| 7.7b | 1 | z |
Compiled 99 to 48 computations (51.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 0.23800974187491078 | 1139.9247504884218 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
(-.f64 y z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) |
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z) |
| Outputs |
|---|
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) |
3 calls:
| 102.0ms | x |
| 50.0ms | z |
| 26.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 12.1b | 7 | x |
| 4.7b | 2 | y |
| 15.8b | 4 | z |
Compiled 89 to 43 computations (51.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 1.746122648781234e+39 | 1.9215104139513078e+40 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
(-.f64 y z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) |
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) |
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) |
| Outputs |
|---|
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) |
3 calls:
| 58.0ms | z |
| 43.0ms | x |
| 41.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 12.2b | 7 | x |
| 10.4b | 4 | y |
| 19.1b | 6 | z |
Compiled 56 to 31 computations (44.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.746122648781234e+39 | 1.9215104139513078e+40 |
| 25.0ms | 2.630260577389093e-111 | 8.048607786012818e-110 |
| 25.0ms | 6.158328201631551e-200 | 7.920556423847338e-198 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
(-.f64 y z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
| Outputs |
|---|
(-.f64 x z) |
(-.f64 (*.f64 -1/2 (log.f64 y)) z) |
(-.f64 x z) |
3 calls:
| 12.0ms | x |
| 12.0ms | z |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.4b | 3 | x |
| 25.8b | 3 | y |
| 26.1b | 3 | z |
Compiled 32 to 20 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2306402.47631479 | 8141486.0835299725 |
| 26.0ms | -1131705068282.932 | -0.016456969911215636 |
Compiled 21 to 15 computations (28.6% saved)
Total -15.8b remaining (-58%)
Threshold costs -15.8b (-58%)
| Inputs |
|---|
(-.f64 y z) |
(-.f64 x z) |
(-.f64 (+.f64 y x) z) |
| Outputs |
|---|
(-.f64 x z) |
3 calls:
| 5.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 27.2b | 1 | x |
| 27.2b | 1 | y |
| 27.2b | 1 | z |
Compiled 26 to 16 computations (38.5% saved)
| 1× | egg-herbie |
| 59× | cancel-sign-sub-inv_binary64 |
| 45× | distribute-rgt-neg-in_binary64 |
| 41× | +-commutative_binary64 |
| 37× | sub-neg_binary64 |
| 35× | neg-sub0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 274 |
| 1 | 108 | 272 |
| 2 | 165 | 272 |
| 3 | 204 | 272 |
| 4 | 238 | 272 |
| 5 | 265 | 272 |
| 6 | 311 | 272 |
| 7 | 370 | 272 |
| 8 | 416 | 272 |
| 9 | 469 | 272 |
| 10 | 503 | 272 |
| 11 | 507 | 272 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 y 1/2))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(if (<=.f64 x -4635463959686889/4096) (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) (if (<=.f64 x 4467524479711593/4398046511104) (-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z))) |
(if (<=.f64 y 8575204678547169/36028797018963968) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z)) |
(if (<=.f64 y 1746122648781233887895100755286079569920) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)) |
(if (<=.f64 y 5307374512852165/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (-.f64 (+.f64 y x) z) (if (<=.f64 y 3560958882113015/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.f64 (*.f64 -1/2 (log.f64 y)) z) (if (<=.f64 y 1746122648781233887895100755286079569920) (-.f64 (+.f64 y x) z) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)))) |
(if (<=.f64 x -4635463959686889/4096) (-.f64 x z) (if (<=.f64 x 4952961603592719/2147483648) (-.f64 (*.f64 -1/2 (log.f64 y)) z) (-.f64 x z))) |
(-.f64 x z) |
(-.f64 y z) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z) |
(-.f64 (+.f64 (+.f64 (*.f64 y (-.f64 1 (log.f64 y))) x) (*.f64 (log.f64 y) -1/2)) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 y 1/2))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (neg.f64 (log.f64 (/.f64 1 y))) (+.f64 y 1/2))) z) |
(-.f64 (+.f64 (+.f64 y x) (*.f64 (log.f64 (/.f64 1 y)) (+.f64 y 1/2))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) z) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) z) |
(-.f64 (+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) z) |
(if (<=.f64 x -4635463959686889/4096) (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z) (if (<=.f64 x 4467524479711593/4398046511104) (-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z) (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z))) |
(if (<=.f64 x -4635463959686889/4096) (-.f64 (+.f64 (*.f64 y (-.f64 1 (log.f64 y))) x) z) (if (<=.f64 x 4467524479711593/4398046511104) (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z) (-.f64 (+.f64 (*.f64 y (-.f64 1 (log.f64 y))) x) z))) |
(if (<=.f64 x -4635463959686889/4096) (-.f64 (+.f64 (*.f64 y (-.f64 1 (log.f64 y))) x) z) (if (<=.f64 x 4467524479711593/4398046511104) (-.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))) z) (-.f64 (+.f64 (*.f64 y (-.f64 1 (log.f64 y))) x) z))) |
(if (<=.f64 y 8575204678547169/36028797018963968) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) z)) |
(if (<=.f64 y 8575204678547169/36028797018963968) (-.f64 (+.f64 x (*.f64 (log.f64 y) -1/2)) z) (-.f64 (+.f64 (*.f64 y (-.f64 1 (log.f64 y))) x) z)) |
(if (<=.f64 y 1746122648781233887895100755286079569920) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)) |
(if (<=.f64 y 1746122648781233887895100755286079569920) (-.f64 (+.f64 x (*.f64 (log.f64 y) -1/2)) z) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)) |
(if (<=.f64 y 5307374512852165/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (-.f64 (+.f64 y x) z) (if (<=.f64 y 3560958882113015/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.f64 (*.f64 -1/2 (log.f64 y)) z) (if (<=.f64 y 1746122648781233887895100755286079569920) (-.f64 (+.f64 y x) z) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)))) |
(if (<=.f64 y 5307374512852165/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (-.f64 (+.f64 y x) z) (if (<=.f64 y 3560958882113015/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.f64 (*.f64 (log.f64 y) -1/2) z) (if (<=.f64 y 1746122648781233887895100755286079569920) (-.f64 (+.f64 y x) z) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)))) |
(if (<=.f64 x -4635463959686889/4096) (-.f64 x z) (if (<=.f64 x 4952961603592719/2147483648) (-.f64 (*.f64 -1/2 (log.f64 y)) z) (-.f64 x z))) |
(if (<=.f64 x -4635463959686889/4096) (-.f64 x z) (if (<=.f64 x 4952961603592719/2147483648) (-.f64 (*.f64 (log.f64 y) -1/2) z) (-.f64 x z))) |
(-.f64 x z) |
(-.f64 y z) |
Compiled 213 to 134 computations (37.1% saved)
Compiled 186 to 98 computations (47.3% saved)
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