Time bar (total: 8.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 87.3% | 12.7% | 4 |
| 0% | 87.3% | 12.7% | 5 |
| 0% | 81.1% | 18.9% | 6 |
| 0% | 31.2% | 68.8% | 7 |
| 0% | 31.2% | 68.8% | 8 |
| 0% | 31.2% | 68.8% | 9 |
| 0% | 28.1% | 71.9% | 10 |
| 2.3% | 24.2% | 73.5% | 11 |
| 3.5% | 23% | 73.5% | 12 |
Compiled 18 to 13 computations (27.8% saved)
| 1.3s | 6622× | body | 256 | valid |
| 446.0ms | 665× | body | 1024 | valid |
| 389.0ms | 953× | body | 512 | valid |
| 103.0ms | 542× | body | 256 | invalid |
| 15.0ms | 16× | body | 2048 | valid |
| 2× | egg-herbie |
| 833× | distribute-rgt-in_binary64 |
| 717× | sub-neg_binary64 |
| 620× | associate--r+_binary64 |
| 535× | fma-neg_binary64 |
| 519× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 126 |
| 1 | 101 | 119 |
| 2 | 216 | 119 |
| 3 | 382 | 119 |
| 4 | 662 | 119 |
| 5 | 1095 | 119 |
| 6 | 2181 | 119 |
| 7 | 3682 | 119 |
| 8 | 4434 | 119 |
| 9 | 4693 | 119 |
| 10 | 5061 | 119 |
| 11 | 5740 | 119 |
| 12 | 6622 | 119 |
| 13 | 6622 | 119 |
| 14 | 6622 | 119 |
| 15 | 6622 | 119 |
| 16 | 6940 | 119 |
| 17 | 6968 | 119 |
| 18 | 6976 | 119 |
| 19 | 7208 | 119 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
2 |
3 |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 y (log.f64 x)) (*.f64 z (log.f64 (-.f64 1 x)))) t) |
(-.f64 (+.f64 (*.f64 z (log.f64 y)) (*.f64 x (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 t (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) x) |
(-.f64 (+.f64 (*.f64 x (log.f64 z)) (*.f64 y (log.f64 (-.f64 1 z)))) t) |
(-.f64 (+.f64 (*.f64 x (log.f64 t)) (*.f64 z (log.f64 (-.f64 1 t)))) y) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 t (log.f64 (-.f64 1 y)))) z) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 x (log.f64 y) (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)) |
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (+.f64 (*.f64 y (log.f64 x)) (*.f64 z (log.f64 (-.f64 1 x)))) t) |
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log.f64 (-.f64 1 x)))) t) |
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log1p.f64 (neg.f64 x)))) t) |
(fma.f64 y (log.f64 x) (fma.f64 z (log1p.f64 (neg.f64 x)) (neg.f64 t))) |
(fma.f64 z (log1p.f64 (neg.f64 x)) (-.f64 (*.f64 y (log.f64 x)) t)) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 x)) (*.f64 y (log.f64 x))) t) |
(-.f64 (+.f64 (*.f64 z (log.f64 y)) (*.f64 x (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log.f64 y) (*.f64 x (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 x (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) z)) t) |
(fma.f64 x (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) z (neg.f64 t))) |
(fma.f64 (log.f64 y) z (fma.f64 x (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (+.f64 (*.f64 t (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) x) |
(-.f64 (fma.f64 t (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) x) |
(-.f64 (fma.f64 (log.f64 y) t (*.f64 z (log1p.f64 (neg.f64 y)))) x) |
(-.f64 (+.f64 (*.f64 x (log.f64 z)) (*.f64 y (log.f64 (-.f64 1 z)))) t) |
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log.f64 (-.f64 1 z)))) t) |
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log1p.f64 (neg.f64 z)))) t) |
(-.f64 (fma.f64 y (log1p.f64 (neg.f64 z)) (*.f64 x (log.f64 z))) t) |
(-.f64 (+.f64 (*.f64 x (log.f64 t)) (*.f64 z (log.f64 (-.f64 1 t)))) y) |
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log.f64 (-.f64 1 t)))) y) |
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log1p.f64 (neg.f64 t)))) y) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 t)) (*.f64 x (log.f64 t))) y) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 t (log.f64 (-.f64 1 y)))) z) |
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) t)) z) |
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) t)) z) |
(fma.f64 x (log.f64 y) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) t) z)) |
(fma.f64 x (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) t (neg.f64 z))) |
Compiled 21 to 16 computations (23.8% saved)
| 1× | egg-herbie |
| 821× | fma-neg_binary64 |
| 312× | fma-def_binary64 |
| 173× | distribute-rgt-in_binary64 |
| 132× | unsub-neg_binary64 |
| 123× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 18 |
| 1 | 25 | 17 |
| 2 | 46 | 17 |
| 3 | 75 | 17 |
| 4 | 123 | 17 |
| 5 | 201 | 17 |
| 6 | 379 | 17 |
| 7 | 721 | 17 |
| 8 | 1279 | 17 |
| 9 | 2012 | 17 |
| 10 | 2697 | 17 |
| 11 | 2973 | 17 |
| 12 | 2989 | 17 |
| 13 | 2989 | 17 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
Compiled 28 to 17 computations (39.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 7.6b | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
| ▶ | 0.1b | (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
Compiled 32 to 22 computations (31.3% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) | |
| 0.0b | (*.f64 z (log1p.f64 (neg.f64 y))) | |
| 0.0b | (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) | |
| ✓ | 0.0b | (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
| ✓ | 0.0b | (*.f64 z (log1p.f64 (neg.f64 y))) |
| ✓ | 0.2b | (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) |
Compiled 40 to 10 computations (75% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | 0 | (*.f64 z (log1p.f64 (neg.f64 y))) |
| 9.0ms | x | @ | 0 | (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) |
| 3.0ms | t | @ | 0 | (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
| 3.0ms | z | @ | 0 | (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) |
| 2.0ms | y | @ | inf | (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) |
| 1× | batch-egg-rewrite |
| 714× | prod-diff_binary64 |
| 517× | log-prod_binary64 |
| 332× | pow-prod-down_binary64 |
| 280× | pow2_binary64 |
| 274× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 227 | 33 |
| 2 | 2953 | 33 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 y)) 1) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z (log1p.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (pow.f64 (*.f64 z (log1p.f64 y)) 2)) (-.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (+.f64 y 1) z) (exp.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (log1p.f64 y)))) (exp.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (log.f64 y))) (+.f64 1 (expm1.f64 (*.f64 z (log1p.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y 1) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (+.f64 y 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 y 1) z))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 y 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (log1p.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (log1p.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 y 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (log1p.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (log1p.f64 y)))))))) |
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t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 t t)) (/.f64 1 (fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t))) (+.f64 (neg.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 (*.f64 x (log.f64 y))) (-.f64 (*.f64 z (log1p.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 t)) 2) (cbrt.f64 (neg.f64 t)) (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))) (-.f64 (*.f64 z (log1p.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 (neg.f64 t)) (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t) (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 t)) (fma.f64 (neg.f64 t) 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 t)) (fma.f64 (neg.f64 (cbrt.f64 t)) (cbrt.f64 (*.f64 t t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (sqrt.f64 t)) (+.f64 (neg.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 t t))) (cbrt.f64 t) (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))))))) |
| 1× | egg-herbie |
| 785× | fma-def_binary64 |
| 509× | associate-+l+_binary64 |
| 483× | associate--r+_binary64 |
| 450× | sub-neg_binary64 |
| 404× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 2074 |
| 1 | 306 | 1875 |
| 2 | 953 | 1810 |
| 3 | 4080 | 1735 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (log.f64 (-.f64 1 y))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) |
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(*.f64 (log.f64 y) x) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(*.f64 (log.f64 y) x) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))) t) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))) t) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
| Outputs |
|---|
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) |
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(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t)) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t)) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t)) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t)) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t)) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t)) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t)) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t)) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) x) t)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.6b | (log.f64 (-.f64 1 y)) | |
| 0.2b | (*.f64 x (log.f64 y)) | |
| 0.0b | (*.f64 z (log.f64 (-.f64 1 y))) | |
| 0.0b | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
| ✓ | 0.0b | (*.f64 z (log.f64 (-.f64 1 y))) |
| ✓ | 0.2b | (*.f64 x (log.f64 y)) |
| ✓ | 6.6b | (log.f64 (-.f64 1 y)) |
Compiled 52 to 27 computations (48.1% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | y | @ | -inf | (*.f64 x (log.f64 y)) |
| 15.0ms | x | @ | 0 | (*.f64 x (log.f64 y)) |
| 11.0ms | y | @ | 0 | (*.f64 x (log.f64 y)) |
| 10.0ms | z | @ | 0 | (*.f64 z (log.f64 (-.f64 1 y))) |
| 6.0ms | y | @ | inf | (*.f64 x (log.f64 y)) |
| 1× | batch-egg-rewrite |
| 718× | fma-def_binary64 |
| 685× | log-prod_binary64 |
| 349× | fma-neg_binary64 |
| 255× | pow1/3_binary64 |
| 253× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 39 |
| 1 | 278 | 36 |
| 2 | 3900 | 36 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (-.f64 1 y)) |
(*.f64 x (log.f64 y)) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log1p.f64 (neg.f64 y))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (neg.f64 y))) (*.f64 1/2 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 (*.f64 y y))) (log.f64 (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 (pow.f64 y 3))) (log.f64 (/.f64 1 (+.f64 1 (fma.f64 y y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 1 (fma.f64 y y y)) (-.f64 1 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 1 y) (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 (*.f64 y y))) (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 (pow.f64 y 3))) (log1p.f64 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 y 3)))) (log.f64 (neg.f64 (+.f64 1 (fma.f64 y y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 (*.f64 y y)))) (log.f64 (neg.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (neg.f64 y) 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 (neg.f64 y) (neg.f64 y)))) (log.f64 (-.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) 2) (cbrt.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (neg.f64 y))) (sqrt.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 1 (fma.f64 y y y)) (-.f64 1 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 1 y) (-.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (neg.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y x)) (cbrt.f64 (pow.f64 y x)))) (log.f64 (cbrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log1p.f64 (neg.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) z)) (cbrt.f64 (pow.f64 (-.f64 1 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (-.f64 1 y) z))) (log.f64 (sqrt.f64 (pow.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 (neg.f64 y)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 1 y) z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (-.f64 1 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 (neg.f64 y)) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (*.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) (fma.f64 x (log.f64 y) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 x (log.f64 y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 x (log.f64 y))) (*.f64 (neg.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 x (log.f64 y) (neg.f64 t))) (fma.f64 (neg.f64 t) 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 x (log.f64 y) (neg.f64 t))) (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 x (log.f64 y) (neg.f64 t))) (+.f64 (neg.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 x (log.f64 y) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 t) (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 y x) (pow.f64 (-.f64 1 y) z)) (exp.f64 t))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 y x) (pow.f64 (-.f64 1 y) z)) (exp.f64 t))))) (log.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 y x) (pow.f64 (-.f64 1 y) z)) (exp.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 y x) (pow.f64 (-.f64 1 y) z)) (exp.f64 t)))) (log.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 y x) (pow.f64 (-.f64 1 y) z)) (exp.f64 t)))))))) (#(struct:change 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| 1× | egg-herbie |
| 880× | fma-def_binary64 |
| 620× | sub-neg_binary64 |
| 554× | associate-+l+_binary64 |
| 472× | associate-*l*_binary64 |
| 439× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 1637 |
| 1 | 380 | 1494 |
| 2 | 1201 | 1447 |
| 3 | 4918 | 1411 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 y) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(*.f64 -1 (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) |
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(*.f64 (log.f64 y) x) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(*.f64 (log.f64 y) x) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))) t) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))) t) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
| Outputs |
|---|
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) |
(fma.f64 -1/2 (*.f64 y y) (neg.f64 y)) |
(-.f64 (*.f64 -1/2 (*.f64 y y)) y) |
(-.f64 (*.f64 y (*.f64 y -1/2)) y) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))) |
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y))) |
(fma.f64 -1/2 (*.f64 y y) (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y)) |
(-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y) |
(-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/4 (pow.f64 y 4) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y)))) |
(fma.f64 -1/2 (*.f64 y y) (-.f64 (fma.f64 -1/4 (pow.f64 y 4) (*.f64 -1/3 (pow.f64 y 3))) y)) |
(fma.f64 -1/4 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)) |
(-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y (+.f64 -1/3 (*.f64 -1/4 y))))) y) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 (log.f64 -1) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y)) |
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 y))) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 y) (/.f64 1 y))) |
(-.f64 (log.f64 y) (-.f64 (/.f64 1 y) (log.f64 -1))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 1 y)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))) |
(+.f64 (log.f64 y) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 y) (/.f64 (/.f64 1/2 y) y)))) |
(+.f64 (log.f64 y) (+.f64 (log.f64 -1) (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1/2 y) y)))) |
(+.f64 (+.f64 (log.f64 -1) (log.f64 y)) (-.f64 (/.f64 (/.f64 -1/2 y) y) (/.f64 1 y))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (log.f64 -1) (-.f64 (-.f64 (log.f64 y) (+.f64 (/.f64 1 y) (/.f64 (/.f64 1/2 y) y))) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (+.f64 (log.f64 -1) (log.f64 y)) (+.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1/2 y) y)) (/.f64 -1/3 (pow.f64 y 3)))) |
(+.f64 (+.f64 (log.f64 y) (-.f64 (/.f64 (/.f64 -1/2 y) y) (/.f64 1 y))) (+.f64 (log.f64 -1) (/.f64 -1/3 (pow.f64 y 3)))) |
(*.f64 -1 (log.f64 (/.f64 -1 y))) |
(neg.f64 (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (/.f64 (/.f64 1/2 y) y)) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y))) |
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 (/.f64 -1/2 y) y) (log.f64 (/.f64 -1 y)))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1/3 (pow.f64 y 3)))) |
(+.f64 (/.f64 -1 y) (-.f64 (+.f64 (/.f64 (/.f64 -1/2 y) y) (/.f64 -1/3 (pow.f64 y 3))) (log.f64 (/.f64 -1 y)))) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z)) |
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y)) |
(*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y)) |
(*.f64 y (*.f64 (+.f64 (*.f64 y -1/2) -1) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 z (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y))) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/4 (*.f64 (pow.f64 y 4) z) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(+.f64 (*.f64 z (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y)) (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/4 (pow.f64 y 4))))) |
(*.f64 z (fma.f64 -1/4 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y (+.f64 -1/3 (*.f64 -1/4 y))))) y)) |
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z) |
(*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z) |
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(fma.f64 -1 (/.f64 z y) (*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z)) |
(fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (/.f64 (neg.f64 z) y)) |
(*.f64 z (-.f64 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 1 y))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (/.f64 (neg.f64 z) y))) |
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(fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)))) |
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(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t) |
Compiled 10854 to 3833 computations (64.7% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 527 | 15 | 542 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 529 | 15 | 544 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) t) |
| 8.0b | (-.f64 (*.f64 (log.f64 y) x) t) | |
| ▶ | 8.6b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) |
| 0.4b | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) | |
| ▶ | 26.3b | (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
| 8.6b | (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) | |
| 30.4b | (-.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 34.7b | (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) | |
| ▶ | 8.1b | (-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
| 54.9b | (*.f64 z (log1p.f64 (neg.f64 y))) | |
| 42.0b | (*.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 t t)) (/.f64 1 (fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t)))) | |
| 48.9b | (fma.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) 3)) (/.f64 1 (fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) (log.f64 (/.f64 (pow.f64 (-.f64 1 y) z) (pow.f64 y x))) (pow.f64 (*.f64 x (log.f64 y)) 2))) (neg.f64 t)) | |
| ▶ | 34.0b | (neg.f64 t) |
| 0.5b | (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t)) | |
| 37.1b | (-.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
Compiled 572 to 382 computations (33.2% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 3 (log1p.f64 (neg.f64 y))) | |
| 0.0b | (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y))))) | |
| 0.0b | (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) | |
| 0.0b | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) t) | |
| ✓ | 0.0b | (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y))))) |
| ✓ | 0.0b | (*.f64 3 (log1p.f64 (neg.f64 y))) |
| 0.2b | (*.f64 x (log.f64 y)) | |
| ✓ | 0.3b | (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))) |
Compiled 72 to 34 computations (52.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y))))) |
| 0.0ms | y | @ | inf | (*.f64 3 (log1p.f64 (neg.f64 y))) |
| 0.0ms | y | @ | 0 | (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))) |
| 0.0ms | y | @ | -inf | (*.f64 3 (log1p.f64 (neg.f64 y))) |
| 0.0ms | y | @ | 0 | (*.f64 3 (log1p.f64 (neg.f64 y))) |
| 1× | batch-egg-rewrite |
| 739× | pow1_binary64 |
| 684× | add-log-exp_binary64 |
| 683× | expm1-log1p-u_binary64 |
| 682× | log1p-expm1-u_binary64 |
| 672× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 207 | 15 |
| 2 | 2144 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))) |
(*.f64 3 (log1p.f64 (neg.f64 y))) |
(*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (log1p.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (log1p.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (log1p.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (log1p.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log1p.f64 y) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 y 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (log1p.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (log1p.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log1p.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log1p.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 y 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log1p.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (log1p.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log1p.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 y) z))))))) |
| 1× | egg-herbie |
| 855× | fma-neg_binary64 |
| 582× | fma-def_binary64 |
| 579× | associate-*l*_binary64 |
| 418× | sub-neg_binary64 |
| 358× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 867 |
| 1 | 328 | 768 |
| 2 | 1017 | 736 |
| 3 | 3350 | 730 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 y) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(*.f64 -1 (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(*.f64 -3 y) |
(+.f64 (*.f64 -3 y) (*.f64 -3/2 (pow.f64 y 2))) |
(+.f64 (*.f64 -3 y) (+.f64 (*.f64 -3/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))) |
(+.f64 (*.f64 -3/4 (pow.f64 y 4)) (+.f64 (*.f64 -3 y) (+.f64 (*.f64 -3/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3))))) |
(*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 (*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 3 (/.f64 1 y))) |
(-.f64 (*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 y 2))) (*.f64 3 (/.f64 1 y)))) |
(-.f64 (*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 y 2))) (*.f64 3 (/.f64 1 y))))) |
(*.f64 -3 (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -3 (log.f64 (/.f64 -1 y))) (*.f64 3 (/.f64 1 y))) |
(-.f64 (*.f64 -3 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 y 2))) (*.f64 3 (/.f64 1 y)))) |
(-.f64 (*.f64 -3 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 y 2))) (*.f64 3 (/.f64 1 y))))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) |
| Outputs |
|---|
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) |
(fma.f64 -1/2 (*.f64 y y) (neg.f64 y)) |
(-.f64 (*.f64 y (*.f64 y -1/2)) y) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))) |
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y))) |
(-.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/3 (pow.f64 y 3))) y) |
(-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y) |
(-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y) |
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/4 (pow.f64 y 4) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y)))) |
(fma.f64 -1/2 (*.f64 y y) (-.f64 (fma.f64 -1/4 (pow.f64 y 4) (*.f64 -1/3 (pow.f64 y 3))) y)) |
(fma.f64 -1/4 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)) |
(-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y (+.f64 -1/3 (*.f64 -1/4 y))))) y) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 (log.f64 -1) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y)) |
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 y))) |
(+.f64 (log.f64 y) (-.f64 (log.f64 -1) (/.f64 1 y))) |
(+.f64 (log.f64 -1) (+.f64 (log.f64 y) (/.f64 -1 y))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))) |
(+.f64 (+.f64 (log.f64 -1) (log.f64 y)) (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y)))) |
(+.f64 (log.f64 -1) (+.f64 (log.f64 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1 y)))) |
(+.f64 (log.f64 -1) (+.f64 (+.f64 (log.f64 y) (/.f64 -1 y)) (/.f64 -1/2 (*.f64 y y)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3))))) |
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 y) (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))) |
(+.f64 (log.f64 y) (+.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1 y))) (/.f64 -1/3 (pow.f64 y 3)))) |
(+.f64 (+.f64 (log.f64 -1) (log.f64 y)) (-.f64 (/.f64 -1/3 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 -1/2 (*.f64 y y))))) |
(*.f64 -1 (log.f64 (/.f64 -1 y))) |
(neg.f64 (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (/.f64 1 y)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y))) |
(-.f64 (-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1 y)) (log.f64 (/.f64 -1 y))) |
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1/3 (pow.f64 y 3)))) |
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (-.f64 (/.f64 -1/3 (pow.f64 y 3)) (log.f64 (/.f64 -1 y)))) |
(*.f64 -3 y) |
(*.f64 y -3) |
(+.f64 (*.f64 -3 y) (*.f64 -3/2 (pow.f64 y 2))) |
(fma.f64 -3 y (*.f64 (*.f64 y y) -3/2)) |
(fma.f64 y -3 (*.f64 (*.f64 y y) -3/2)) |
(*.f64 y (+.f64 (*.f64 y -3/2) -3)) |
(*.f64 y (+.f64 -3 (*.f64 y -3/2))) |
(+.f64 (*.f64 -3 y) (+.f64 (*.f64 -3/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3)))) |
(fma.f64 -3 y (fma.f64 -3/2 (*.f64 y y) (neg.f64 (pow.f64 y 3)))) |
(-.f64 (fma.f64 y -3 (*.f64 (*.f64 y y) -3/2)) (pow.f64 y 3)) |
(fma.f64 y -3 (*.f64 (*.f64 y y) (-.f64 -3/2 y))) |
(*.f64 y (+.f64 -3 (*.f64 y (-.f64 -3/2 y)))) |
(+.f64 (*.f64 -3/4 (pow.f64 y 4)) (+.f64 (*.f64 -3 y) (+.f64 (*.f64 -3/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 3))))) |
(fma.f64 -3/4 (pow.f64 y 4) (fma.f64 -3 y (fma.f64 -3/2 (*.f64 y y) (neg.f64 (pow.f64 y 3))))) |
(fma.f64 (pow.f64 y 4) -3/4 (-.f64 (fma.f64 y -3 (*.f64 (*.f64 y y) -3/2)) (pow.f64 y 3))) |
(fma.f64 y -3 (fma.f64 (pow.f64 y 4) -3/4 (*.f64 (*.f64 y y) (-.f64 -3/2 y)))) |
(fma.f64 (pow.f64 y 4) -3/4 (*.f64 y (+.f64 -3 (*.f64 y (-.f64 -3/2 y))))) |
(*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 3 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 3 (+.f64 (log.f64 -1) (log.f64 y))) |
(-.f64 (*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 3 (/.f64 1 y))) |
(fma.f64 3 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (neg.f64 (/.f64 3 y))) |
(fma.f64 3 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 -3 y)) |
(-.f64 (*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 y 2))) (*.f64 3 (/.f64 1 y)))) |
(fma.f64 3 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (neg.f64 (+.f64 (/.f64 3 y) (/.f64 3/2 (*.f64 y y))))) |
(-.f64 (fma.f64 3 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 -3 y)) (/.f64 3/2 (*.f64 y y))) |
(+.f64 (/.f64 -3 y) (fma.f64 3 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 -3/2 (*.f64 y y)))) |
(-.f64 (*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 y 2))) (*.f64 3 (/.f64 1 y))))) |
(-.f64 (*.f64 3 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 3 y) (/.f64 3/2 (*.f64 y y))))) |
(-.f64 (-.f64 (fma.f64 3 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 -3 y)) (/.f64 3/2 (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) |
(-.f64 (fma.f64 3 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 -3 y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 3/2 (*.f64 y y)))) |
(+.f64 (-.f64 (/.f64 -3/2 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (fma.f64 3 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 -3 y))) |
(*.f64 -3 (log.f64 (/.f64 -1 y))) |
(*.f64 (log.f64 (/.f64 -1 y)) -3) |
(-.f64 (*.f64 -3 (log.f64 (/.f64 -1 y))) (*.f64 3 (/.f64 1 y))) |
(-.f64 (*.f64 (log.f64 (/.f64 -1 y)) -3) (/.f64 3 y)) |
(fma.f64 (log.f64 (/.f64 -1 y)) -3 (/.f64 -3 y)) |
(-.f64 (*.f64 -3 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 y 2))) (*.f64 3 (/.f64 1 y)))) |
(-.f64 (*.f64 (log.f64 (/.f64 -1 y)) -3) (+.f64 (/.f64 3 y) (/.f64 3/2 (*.f64 y y)))) |
(-.f64 (fma.f64 (log.f64 (/.f64 -1 y)) -3 (/.f64 -3 y)) (/.f64 3/2 (*.f64 y y))) |
(+.f64 (/.f64 -3 y) (fma.f64 (log.f64 (/.f64 -1 y)) -3 (/.f64 -3/2 (*.f64 y y)))) |
(-.f64 (*.f64 -3 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 y 2))) (*.f64 3 (/.f64 1 y))))) |
(-.f64 (*.f64 (log.f64 (/.f64 -1 y)) -3) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 3 y) (/.f64 3/2 (*.f64 y y))))) |
(-.f64 (-.f64 (fma.f64 (log.f64 (/.f64 -1 y)) -3 (/.f64 -3 y)) (/.f64 3/2 (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -3 y) (/.f64 -3/2 (*.f64 y y))) (fma.f64 (log.f64 (/.f64 -1 y)) -3 (/.f64 -1 (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 -3/2 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (fma.f64 (log.f64 (/.f64 -1 y)) -3 (/.f64 -3 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z)) |
(*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y)) |
(*.f64 y (*.f64 (+.f64 (*.f64 y -1/2) -1) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 z (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y))) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/4 (*.f64 (pow.f64 y 4) z) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(+.f64 (*.f64 z (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y)) (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/4 (pow.f64 y 4))))) |
(*.f64 z (fma.f64 -1/4 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y (+.f64 -1/3 (*.f64 -1/4 y))))) y)) |
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z) |
(*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z) |
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(fma.f64 -1 (/.f64 z y) (*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z)) |
(fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (/.f64 (neg.f64 z) y)) |
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z) (/.f64 z y)) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (/.f64 (neg.f64 z) y))) |
(fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z)))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (-.f64 (fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (/.f64 (*.f64 -1/3 z) (pow.f64 y 3))) (/.f64 z y))) |
(+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z) (-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (/.f64 z y))) |
(fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) |
(*.f64 (neg.f64 (log.f64 (/.f64 -1 y))) z) |
(*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))) |
(fma.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z) (neg.f64 (/.f64 z y))) |
(neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z) (neg.f64 (/.f64 z y)))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))) |
(-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (*.f64 (log.f64 (/.f64 -1 y)) z)) |
(-.f64 (*.f64 z (-.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 (/.f64 -1 y)))) (/.f64 z y)) |
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z) (fma.f64 -1 (/.f64 z y) (/.f64 (*.f64 -1/3 z) (pow.f64 y 3))))) |
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (/.f64 (*.f64 -1/3 z) (pow.f64 y 3)))) |
(fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2))) |
(-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))) |
Compiled 7 to 5 computations (28.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 z (log1p.f64 (neg.f64 y))) | |
| 0.0b | (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) | |
| ✓ | 0.0b | (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
| 0.0b | (*.f64 z (log1p.f64 (neg.f64 y))) |
Compiled 24 to 8 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | inf | (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
| 1.0ms | y | @ | -inf | (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
| 0.0ms | z | @ | 0 | (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
| 0.0ms | y | @ | 0 | (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
| 0.0ms | z | @ | inf | (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
| 1× | batch-egg-rewrite |
| 819× | pow1_binary64 |
| 757× | add-log-exp_binary64 |
| 756× | expm1-log1p-u_binary64 |
| 755× | log1p-expm1-u_binary64 |
| 740× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 171 | 9 |
| 2 | 2293 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (*.f64 (neg.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) (fma.f64 (neg.f64 t) 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) (fma.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 t) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 z (log1p.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)) 2) (cbrt.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)) (sqrt.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 t 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 t (fma.f64 z (log1p.f64 y) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 t t)) (/.f64 1 (fma.f64 z (log1p.f64 y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 t (fma.f64 z (log1p.f64 y) t))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (log1p.f64 y) t) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 t (fma.f64 z (log1p.f64 y) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 t t)) (fma.f64 z (log1p.f64 y) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 t 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 t (fma.f64 z (log1p.f64 y) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 t t))) (neg.f64 (fma.f64 z (log1p.f64 y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (neg.f64 t) 3)) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (-.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 (*.f64 z (log1p.f64 y)) (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (neg.f64 t) (neg.f64 t))) (-.f64 (*.f64 z (log1p.f64 y)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (log1p.f64 y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 y) z (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (log1p.f64 y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 2) (cbrt.f64 (*.f64 z (log1p.f64 y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) (sqrt.f64 (*.f64 z (log1p.f64 y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 z (log1p.f64 y)) t))))))) |
| 1× | egg-herbie |
| 646× | fma-neg_binary64 |
| 533× | times-frac_binary64 |
| 519× | associate-+l-_binary64 |
| 421× | distribute-neg-in_binary64 |
| 335× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 565 |
| 1 | 194 | 493 |
| 2 | 582 | 474 |
| 3 | 1946 | 466 |
| 4 | 6437 | 466 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 t) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(-.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) t) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) t) |
(-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
| Outputs |
|---|
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(fma.f64 -1 t (neg.f64 (*.f64 z y))) |
(-.f64 (neg.f64 t) (*.f64 z y)) |
(neg.f64 (fma.f64 z y t)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z)))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 t (neg.f64 (*.f64 z y)))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (-.f64 (neg.f64 t) (*.f64 z y))) |
(-.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) (fma.f64 z y t)) |
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 t) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 t (fma.f64 -1 (*.f64 z y) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (-.f64 (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (neg.f64 y))) t)) |
(-.f64 (*.f64 z (+.f64 (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y) (*.f64 y (*.f64 y -1/2)))) t) |
(-.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) t) |
(-.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) t) |
(-.f64 (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))) t) |
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (neg.f64 t)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t) |
(-.f64 (fma.f64 -1 (/.f64 z y) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))) t) |
(-.f64 (-.f64 (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (/.f64 z y)) t) |
(-.f64 (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (+.f64 (/.f64 z y) t)) |
(-.f64 (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (+.f64 t (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) t) |
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))) t) |
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (-.f64 (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (/.f64 z y))) t) |
(-.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)))) t) |
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) t)) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) t) |
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))))) t) |
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (-.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))) (/.f64 z y))) t) |
(+.f64 (-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (/.f64 z y)) (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (neg.f64 t))) |
(-.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))) t) |
(-.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) t) |
(-.f64 (neg.f64 (*.f64 z (log.f64 (/.f64 -1 y)))) t) |
(-.f64 (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z)) t) |
(neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) t)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))) t) |
(-.f64 (*.f64 -1 (+.f64 (*.f64 z (log.f64 (/.f64 -1 y))) (/.f64 z y))) t) |
(-.f64 (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))) t) |
(-.f64 (neg.f64 t) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) t) |
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (*.f64 -1 (+.f64 (*.f64 z (log.f64 (/.f64 -1 y))) (/.f64 z y)))) t) |
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))) t) |
(+.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) t))) |
(-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (fma.f64 z (log.f64 (/.f64 -1 y)) t)) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t) |
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t) |
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))) t) |
(-.f64 (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2))) t) |
(-.f64 (-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))) t) |
(-.f64 (-.f64 (*.f64 (/.f64 z y) (/.f64 (+.f64 -1/2 (/.f64 -1/3 y)) y)) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))) t) |
(*.f64 z (log.f64 (-.f64 1 y))) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
(+.f64 (*.f64 -1 t) (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y)))) |
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)) |
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (cbrt.f64 (*.f64 x (log.f64 y))) | |
| 0.2b | (*.f64 x (log.f64 y)) | |
| 0.0b | (*.f64 z (log.f64 (-.f64 1 y))) | |
| 0.0b | (-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 0.2b | (*.f64 x (log.f64 y)) | |
| ✓ | 0.6b | (cbrt.f64 (*.f64 x (log.f64 y))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) |
| 6.6b | (log.f64 (-.f64 1 y)) |
Compiled 71 to 35 computations (50.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) |
| 2.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) |
| 2.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) |
| 2.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) |
| 1× | batch-egg-rewrite |
| 611× | pow1_binary64 |
| 571× | add-log-exp_binary64 |
| 571× | log1p-expm1-u_binary64 |
| 571× | expm1-log1p-u_binary64 |
| 557× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 164 | 14 |
| 2 | 1624 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) |
(cbrt.f64 (*.f64 x (log.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (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 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (pow.f64 (*.f64 x (log.f64 y)) 1/6)) (pow.f64 (*.f64 x (log.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (pow.f64 (*.f64 x (log.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 y))))))))) |
| 1× | egg-herbie |
| 934× | fma-neg_binary64 |
| 843× | fma-def_binary64 |
| 418× | unswap-sqr_binary64 |
| 370× | associate--r-_binary64 |
| 352× | sqr-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 232 |
| 1 | 75 | 196 |
| 2 | 147 | 196 |
| 3 | 297 | 196 |
| 4 | 541 | 196 |
| 5 | 1169 | 196 |
| 6 | 2745 | 196 |
| 7 | 4298 | 196 |
| 8 | 4884 | 196 |
| 9 | 5090 | 196 |
| 10 | 5328 | 196 |
| 11 | 5665 | 196 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (cbrt.f64 -1)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (cbrt.f64 x) (log.f64 y)) | |
| 0.1b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) | |
| 0.0b | (*.f64 z (log1p.f64 y)) | |
| 0.0b | (-.f64 (*.f64 z (log1p.f64 y)) t) | |
| ✓ | 0.1b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) |
| ✓ | 0.3b | (*.f64 (cbrt.f64 x) (log.f64 y)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.6b | (cbrt.f64 x) |
Compiled 50 to 16 computations (68% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) |
| 3.0ms | t | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) |
| 2.0ms | y | @ | 0 | (*.f64 (cbrt.f64 x) (log.f64 y)) |
| 2.0ms | x | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) |
| 2.0ms | x | @ | -inf | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) |
| 1× | batch-egg-rewrite |
| 768× | prod-diff_binary64 |
| 659× | log-prod_binary64 |
| 356× | pow2_binary64 |
| 317× | fma-def_binary64 |
| 249× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 42 |
| 1 | 287 | 34 |
| 2 | 3486 | 32 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 2) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 y (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y (cbrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 y (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (log.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 y) 3) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (cbrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 y)) 1) (-.f64 (*.f64 z (log1p.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 2) (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (-.f64 (pow.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) 2) (*.f64 (*.f64 x (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (pow.f64 (-.f64 (*.f64 z (log1p.f64 y)) t) 2)) (-.f64 (*.f64 x (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)) (exp.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 z (log1p.f64 y)) t))) (exp.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (log.f64 y))) (+.f64 1 (expm1.f64 (-.f64 (*.f64 z (log1p.f64 y)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t))))))) |
| 1× | egg-herbie |
| 618× | fma-neg_binary64 |
| 480× | associate--l+_binary64 |
| 468× | fma-def_binary64 |
| 415× | times-frac_binary64 |
| 399× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 878 |
| 1 | 283 | 772 |
| 2 | 875 | 693 |
| 3 | 3415 | 687 |
| 4 | 7389 | 687 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(-.f64 (*.f64 (log.f64 (+.f64 1 y)) z) t) |
(-.f64 (*.f64 (log.f64 (+.f64 1 y)) z) t) |
(-.f64 (*.f64 (log.f64 (+.f64 1 y)) z) t) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 y z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) t) |
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) z)) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))))) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))) t) |
(-.f64 (+.f64 (/.f64 z y) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (/.f64 z y) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (/.f64 z y) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) z)) (+.f64 (*.f64 1/3 (/.f64 z (pow.f64 y 3))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))))))) t) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) t) |
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (+.f64 (/.f64 z y) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (+.f64 (/.f64 z y) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)))) t) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (+.f64 (/.f64 z y) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z) (*.f64 1/3 (/.f64 z (pow.f64 y 3))))))) t) |
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(*.f64 (log.f64 (+.f64 1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(*.f64 (log.f64 (+.f64 1 y)) z) |
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t) |
(+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 y)) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (log.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) |
(*.f64 (cbrt.f64 x) (log.f64 y)) |
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(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log1p.f64 y) z)) t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(-.f64 (fma.f64 (log1p.f64 y) z (*.f64 1 (*.f64 x (log.f64 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t) |
(fma.f64 x (log.f64 y) (fma.f64 (log1p.f64 y) z (neg.f64 t))) |
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log1p.f64 y) z)) t) |
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 (+.f64 1 y)) z) (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)))) |
(-.f64 (fma.f64 (log1p.f64 y) z (*.f64 1 (*.f64 x (log.f64 y)))) t) |
(-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t) |
(fma.f64 x (log.f64 y) (fma.f64 (log1p.f64 y) z (neg.f64 t))) |
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log1p.f64 y) z)) t) |
Compiled 10062 to 4786 computations (52.4% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 16 | 531 |
| Fresh | 5 | 5 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 523 | 23 | 546 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) t) |
| 0.8b | (-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) (*.f64 z (neg.f64 y))) t) | |
| 42.0b | (*.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 2) (*.f64 t t)) (/.f64 1 (fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 y) t)))) | |
| 25.5b | (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) | |
| ▶ | 34.7b | (-.f64 (+.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
| 8.0b | (-.f64 (*.f64 x (log.f64 y)) t) | |
| ▶ | 8.2b | (-.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
| 30.4b | (-.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 26.5b | (-.f64 (*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) t) | |
| 8.0b | (-.f64 (+.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 26.5b | (-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) | |
| ▶ | 26.6b | (-.f64 (*.f64 y (neg.f64 z)) t) |
| 62.3b | (*.f64 (log1p.f64 y) z) | |
| 8.1b | (-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| ▶ | 54.9b | (*.f64 z (log1p.f64 (neg.f64 y))) |
| 8.1b | (-.f64 (+.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 9.1b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) x)) (-.f64 (*.f64 z (log1p.f64 y)) t)) | |
| ▶ | 0.4b | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) |
| 16.3b | (fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) | |
| ✓ | 34.0b | (neg.f64 t) |
| 26.6b | (neg.f64 (fma.f64 z y t)) | |
| 37.1b | (-.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 8.0b | (-.f64 (+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
Compiled 794 to 554 computations (30.2% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (log.f64 y) x) | |
| 0.0b | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) | |
| 0.0b | (+.f64 (*.f64 y z) t) | |
| ✓ | 0.0b | (+.f64 (*.f64 y z) t) |
| ✓ | 0.0b | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) |
| ✓ | 0.2b | (*.f64 (log.f64 y) x) |
Compiled 32 to 9 computations (71.9% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) |
| 1.0ms | y | @ | inf | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) |
| 1.0ms | y | @ | -inf | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) |
| 0.0ms | z | @ | inf | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) |
| 0.0ms | z | @ | -inf | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) |
| 1× | batch-egg-rewrite |
| 652× | fma-def_binary64 |
| 570× | log-prod_binary64 |
| 426× | pow-prod-down_binary64 |
| 308× | fma-neg_binary64 |
| 303× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 219 | 24 |
| 2 | 3187 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 y z) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y x)) 2)) (log.f64 (cbrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (neg.f64 (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (*.f64 (neg.f64 (fma.f64 y z t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t)) (fma.f64 (neg.f64 (fma.f64 y z t)) 1 (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y z t))) (cbrt.f64 (pow.f64 (fma.f64 y z t) 2)) (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t)) (+.f64 (neg.f64 (fma.f64 y z t)) (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 y z t)) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) (*.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) (*.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y x) (exp.f64 (fma.f64 y z t)))) 2)) (log.f64 (cbrt.f64 (/.f64 (pow.f64 y x) (exp.f64 (fma.f64 y z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 y x) (exp.f64 (fma.f64 y z t))))) (log.f64 (sqrt.f64 (/.f64 (pow.f64 y x) (exp.f64 (fma.f64 y z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))) 2) (cbrt.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))) (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 (fma.f64 y z t) 3)) (/.f64 1 (fma.f64 (fma.f64 y z t) (fma.f64 (log.f64 y) x (fma.f64 y z t)) (pow.f64 (*.f64 (log.f64 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (fma.f64 y z t) 2)) (/.f64 1 (fma.f64 (log.f64 y) x (fma.f64 y z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 y) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 y) x (fma.f64 y z t)) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (fma.f64 y z t) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 y x) (exp.f64 (fma.f64 y z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 y z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)) (exp.f64 (fma.f64 y z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 y x) (+.f64 1 (expm1.f64 (fma.f64 y z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)) (+.f64 1 (expm1.f64 (fma.f64 y z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z)))) (+.f64 1 (expm1.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y z t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 y z) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z t)) (cbrt.f64 (pow.f64 (fma.f64 y z t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 y z t) 2)) (cbrt.f64 (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z t)) (sqrt.f64 (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3)) (/.f64 1 (fma.f64 t (-.f64 t (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t t)) (/.f64 1 (-.f64 (*.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 t (-.f64 t (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y z) t) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t (-.f64 t (*.f64 y z)) (pow.f64 (*.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 z (*.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t t)) (-.f64 (*.f64 y z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3))) (neg.f64 (fma.f64 t (-.f64 t (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t t))) (neg.f64 (-.f64 (*.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 y z) 2)) (-.f64 t (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z t) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y z t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (-.f64 t (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y z) t) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (exp.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (+.f64 1 (expm1.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 t)) (pow.f64 (exp.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 t) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 t)) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) 1 t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) 2) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (sqrt.f64 t) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) t)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y z t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z t))))))) |
| 1× | egg-herbie |
| 3801× | fma-def_binary64 |
| 690× | distribute-rgt-in_binary64 |
| 604× | unsub-neg_binary64 |
| 542× | distribute-lft-in_binary64 |
| 528× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 731 |
| 1 | 102 | 659 |
| 2 | 213 | 619 |
| 3 | 549 | 619 |
| 4 | 1196 | 619 |
| 5 | 2437 | 619 |
| 6 | 4124 | 619 |
| 7 | 4716 | 619 |
| 8 | 4965 | 619 |
| 9 | 5043 | 619 |
| 10 | 5062 | 619 |
| 11 | 5065 | 619 |
| 12 | 5253 | 619 |
| 13 | 6401 | 619 |
| 14 | 6735 | 619 |
| 15 | 6823 | 619 |
| 16 | 6865 | 619 |
| 17 | 6885 | 619 |
| 18 | 7123 | 619 |
| 19 | 7239 | 619 |
| 20 | 7275 | 619 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) t) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))) t) |
(*.f64 -1 (+.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(*.f64 (log.f64 y) x) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(*.f64 -1 (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (*.f64 (log.f64 y) x) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(*.f64 -1 t) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(*.f64 -1 t) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
t |
(*.f64 y z) |
(*.f64 y z) |
t |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
t |
t |
| Outputs |
|---|
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (*.f64 x (log.f64 y)) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(*.f64 -1 (+.f64 (*.f64 y z) t)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(*.f64 (log.f64 y) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(*.f64 (log.f64 y) x) |
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x)) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x)) |
(*.f64 x (log.f64 y)) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (+.f64 (*.f64 y z) t))) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (*.f64 x (log.f64 y)) t) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1 (*.f64 y z))) t) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (*.f64 (log.f64 y) x) (*.f64 y z)) |
(fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) |
(fma.f64 x (log.f64 y) (*.f64 y (neg.f64 z))) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(*.f64 -1 t) |
(neg.f64 t) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(*.f64 -1 t) |
(neg.f64 t) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
(-.f64 (+.f64 (*.f64 -1 t) (*.f64 (log.f64 y) x)) (*.f64 y z)) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t) |
(-.f64 (*.f64 x (log.f64 y)) (fma.f64 y z t)) |
(fma.f64 x (log.f64 y) (neg.f64 (fma.f64 y z t))) |
t |
(*.f64 y z) |
(*.f64 y z) |
t |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
t |
t |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 y (neg.f64 z)) t) | |
| ✓ | 0.0b | (-.f64 (*.f64 y (neg.f64 z)) t) |
Compiled 19 to 7 computations (63.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (-.f64 (*.f64 y (neg.f64 z)) t) |
| 0.0ms | z | @ | 0 | (-.f64 (*.f64 y (neg.f64 z)) t) |
| 0.0ms | t | @ | 0 | (-.f64 (*.f64 y (neg.f64 z)) t) |
| 0.0ms | y | @ | -inf | (-.f64 (*.f64 y (neg.f64 z)) t) |
| 0.0ms | y | @ | inf | (-.f64 (*.f64 y (neg.f64 z)) t) |
| 1× | batch-egg-rewrite |
| 749× | pow1_binary64 |
| 694× | add-log-exp_binary64 |
| 693× | log1p-expm1-u_binary64 |
| 693× | expm1-log1p-u_binary64 |
| 679× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 155 | 7 |
| 2 | 2185 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 y (neg.f64 z)) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 (neg.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y z) t) (fma.f64 (neg.f64 t) 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y z) t) (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y z) t) (fma.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 t) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y z) t)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y z) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y z) t)) 2) (cbrt.f64 (-.f64 (*.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y z) t)) (sqrt.f64 (-.f64 (*.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t (fma.f64 y z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t t)) (/.f64 1 (fma.f64 y z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 t)) (-.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t (fma.f64 y z t))) (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y z t) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t (fma.f64 y z t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t t)) (fma.f64 y z t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t (fma.f64 y z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 t t))) (-.f64 (*.f64 y z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (neg.f64 t) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 (*.f64 y z) (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (neg.f64 t) (neg.f64 t))) (-.f64 (*.f64 y z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y z) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y z) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y z) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 y z t))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y z) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y z) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y z) t))))))) |
| 1× | egg-herbie |
| 51× | fma-neg_binary64 |
| 37× | fma-def_binary64 |
| 24× | cancel-sign-sub-inv_binary64 |
| 18× | sub-neg_binary64 |
| 17× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 312 |
| 1 | 20 | 285 |
| 2 | 45 | 231 |
| 3 | 66 | 231 |
| 4 | 118 | 231 |
| 5 | 188 | 231 |
| 6 | 283 | 231 |
| 7 | 314 | 231 |
| 8 | 320 | 231 |
| 9 | 321 | 231 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
| Outputs |
|---|
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 y z)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(*.f64 -1 t) |
(neg.f64 t) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
(+.f64 (*.f64 -1 t) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (+.f64 t (*.f64 y z))) |
(-.f64 (neg.f64 t) (*.f64 y z)) |
(neg.f64 (fma.f64 y z t)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 z (log1p.f64 (neg.f64 y))) | |
| 0.0b | (*.f64 z (log1p.f64 (neg.f64 y))) |
Compiled 16 to 7 computations (56.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y))) | |
| 0.2b | (*.f64 (sqrt.f64 x) (log.f64 y)) | |
| 0.0b | (*.f64 z (log.f64 (-.f64 1 y))) | |
| 0.0b | (-.f64 (+.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 0.0b | (*.f64 z (log.f64 (-.f64 1 y))) | |
| ✓ | 0.2b | (*.f64 (sqrt.f64 x) (log.f64 y)) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y))) |
| 6.6b | (log.f64 (-.f64 1 y)) |
Compiled 71 to 29 computations (59.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y))) |
| 1.0ms | x | @ | 0 | (*.f64 (sqrt.f64 x) (log.f64 y)) |
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 x) (log.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 (sqrt.f64 x) (log.f64 y)) |
| 1.0ms | x | @ | inf | (*.f64 (sqrt.f64 x) (log.f64 y)) |
| 1× | batch-egg-rewrite |
| 614× | pow1_binary64 |
| 563× | add-log-exp_binary64 |
| 563× | log1p-expm1-u_binary64 |
| 563× | expm1-log1p-u_binary64 |
| 549× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 136 | 14 |
| 2 | 1596 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y))) |
(*.f64 (sqrt.f64 x) (log.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (log.f64 y)))))))) |
| 1× | egg-herbie |
| 557× | unsub-neg_binary64 |
| 461× | fma-def_binary64 |
| 363× | fma-neg_binary64 |
| 334× | distribute-neg-in_binary64 |
| 313× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 240 |
| 1 | 61 | 240 |
| 2 | 144 | 240 |
| 3 | 342 | 240 |
| 4 | 1098 | 240 |
| 5 | 3375 | 240 |
| 6 | 5910 | 240 |
| 7 | 7234 | 240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x))) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x))) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x))) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x))) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x))) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x))) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x))) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x))) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x))) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x)) |
(*.f64 (log.f64 y) (sqrt.f64 x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (cbrt.f64 (*.f64 x (log.f64 y))) | |
| 0.2b | (*.f64 x (log.f64 y)) | |
| 0.0b | (*.f64 z (log.f64 (-.f64 1 y))) | |
| 0.0b | (-.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| ✓ | 0.6b | (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) |
| 0.7b | (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) | |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) |
| 6.6b | (log.f64 (-.f64 1 y)) |
Compiled 95 to 49 computations (48.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) |
| 2.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) |
| 2.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) |
| 1× | batch-egg-rewrite |
| 613× | pow1_binary64 |
| 573× | add-log-exp_binary64 |
| 573× | log1p-expm1-u_binary64 |
| 573× | expm1-log1p-u_binary64 |
| 559× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 207 | 14 |
| 2 | 1667 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) |
(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (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 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (pow.f64 (*.f64 x (log.f64 y)) 1/6)) (pow.f64 (*.f64 x (log.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (pow.f64 (*.f64 x (log.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 y))))))))) |
| 1× | egg-herbie |
| 934× | fma-neg_binary64 |
| 843× | fma-def_binary64 |
| 418× | unswap-sqr_binary64 |
| 370× | associate--r-_binary64 |
| 352× | sqr-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 232 |
| 1 | 75 | 196 |
| 2 | 147 | 196 |
| 3 | 297 | 196 |
| 4 | 541 | 196 |
| 5 | 1169 | 196 |
| 6 | 2745 | 196 |
| 7 | 4298 | 196 |
| 8 | 4884 | 196 |
| 9 | 5090 | 196 |
| 10 | 5328 | 196 |
| 11 | 5665 | 196 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(*.f64 1 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (log.f64 y) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (*.f64 (log.f64 y) (neg.f64 x))) (cbrt.f64 -1)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3) |
(cbrt.f64 (*.f64 (log.f64 y) x)) |
Compiled 11648 to 4741 computations (59.3% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 584 | 16 | 600 |
| Fresh | 10 | 6 | 16 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 597 | 26 | 623 |
| Status | Error | Program |
|---|---|---|
| ▶ | 33.6b | (-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 y z) t)) |
| ▶ | 36.7b | (*.f64 (log.f64 y) x) |
| 36.9b | (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (fma.f64 y z t) 2)) (/.f64 1 (fma.f64 (log.f64 y) x (fma.f64 y z t)))) | |
| ▶ | 8.1b | (-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
| 16.3b | (fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) | |
| ▶ | 55.2b | (*.f64 y (neg.f64 z)) |
| 8.0b | (-.f64 (+.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 26.5b | (-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) | |
| ✓ | 26.6b | (-.f64 (*.f64 y (neg.f64 z)) t) |
| 8.0b | (-.f64 (+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 55.1b | (*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y)) | |
| ✓ | 54.9b | (*.f64 z (log1p.f64 (neg.f64 y))) |
| 23.5b | (-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) (+.f64 (*.f64 y z) t)) | |
| 8.1b | (-.f64 (+.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 9.1b | (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) x)) (-.f64 (*.f64 z (log1p.f64 y)) t)) | |
| 30.9b | (-.f64 (+.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y))) (*.f64 z (neg.f64 y))) t) | |
| 55.1b | (*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) | |
| 8.0b | (-.f64 (*.f64 (log.f64 y) x) t) | |
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) t) |
| 29.3b | (-.f64 (*.f64 (log.f64 y) x) (*.f64 y z)) | |
| 25.5b | (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (*.f64 z (log1p.f64 y)) t)) | |
| 0.8b | (-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) (+.f64 (*.f64 y z) t)) | |
| 0.9b | (-.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) (*.f64 z (neg.f64 y))) t) | |
| 34.1b | (+.f64 (*.f64 y z) (neg.f64 t)) | |
| ✓ | 34.0b | (neg.f64 t) |
| ▶ | 0.6b | (fma.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (*.f64 (cbrt.f64 (log.f64 y)) x) (neg.f64 (fma.f64 y z t))) |
Compiled 825 to 570 computations (30.9% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (pow.f64 (log.f64 y) 2) | |
| 0.5b | (cbrt.f64 (log.f64 y)) | |
| 0.2b | (*.f64 (cbrt.f64 (log.f64 y)) x) | |
| 0.2b | (fma.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (*.f64 (cbrt.f64 (log.f64 y)) x) (neg.f64 (fma.f64 y z t))) | |
| ✓ | 0.2b | (*.f64 (cbrt.f64 (log.f64 y)) x) |
| ✓ | 0.5b | (cbrt.f64 (log.f64 y)) |
| ✓ | 0.5b | (pow.f64 (log.f64 y) 2) |
| ✓ | 0.6b | (cbrt.f64 (pow.f64 (log.f64 y) 2)) |
Compiled 53 to 19 computations (64.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | (cbrt.f64 (log.f64 y)) |
| 2.0ms | y | @ | -inf | (cbrt.f64 (pow.f64 (log.f64 y) 2)) |
| 2.0ms | y | @ | 0 | (cbrt.f64 (pow.f64 (log.f64 y) 2)) |
| 2.0ms | y | @ | inf | (*.f64 (cbrt.f64 (log.f64 y)) x) |
| 2.0ms | x | @ | 0 | (*.f64 (cbrt.f64 (log.f64 y)) x) |
| 1× | batch-egg-rewrite |
| 686× | pow1_binary64 |
| 631× | add-log-exp_binary64 |
| 631× | log1p-expm1-u_binary64 |
| 631× | expm1-log1p-u_binary64 |
| 614× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 174 | 27 |
| 2 | 1853 | 27 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (log.f64 y) 2) |
(cbrt.f64 (log.f64 y)) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (*.f64 (pow.f64 (log.f64 y) 1/6) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.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 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 y) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 1/3) (pow.f64 (sqrt.f64 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 (log.f64 y)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (log.f64 y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (log.f64 y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (log.f64 y) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (log.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (log.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (log.f64 y)) x))))))) |
| 1× | egg-herbie |
| 723× | unsub-neg_binary64 |
| 481× | fma-def_binary64 |
| 382× | unswap-sqr_binary64 |
| 349× | sub-neg_binary64 |
| 340× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 468 |
| 1 | 94 | 452 |
| 2 | 175 | 452 |
| 3 | 441 | 452 |
| 4 | 1515 | 452 |
| 5 | 3634 | 452 |
| 6 | 7040 | 452 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(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) |
(pow.f64 (log.f64 y) 1/3) |
(pow.f64 (log.f64 y) 1/3) |
(pow.f64 (log.f64 y) 1/3) |
(pow.f64 (log.f64 y) 1/3) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
| Outputs |
|---|
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 y) 2)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3) |
(cbrt.f64 (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 (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) |
(pow.f64 (log.f64 y) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (log.f64 y) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (log.f64 y) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (log.f64 y) 1/3) |
(cbrt.f64 (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 y)) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3) |
(cbrt.f64 (log.f64 y)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) x)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) x)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) x)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) x)) |
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) x)) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) x) |
(*.f64 (cbrt.f64 (log.f64 y)) x) |
Compiled 12 to 6 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (log.f64 y) x) | |
| 0.2b | (*.f64 (log.f64 y) x) |
Compiled 12 to 6 computations (50% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) | |
| 0.0b | (sqrt.f64 (*.f64 (log.f64 y) x)) | |
| 0.0b | (+.f64 (*.f64 y z) t) | |
| 0.0b | (-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 y z) t)) | |
| 0.0b | (+.f64 (*.f64 y z) t) | |
| ✓ | 0.0b | (sqrt.f64 (*.f64 (log.f64 y) x)) |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) |
| 0.2b | (*.f64 (log.f64 y) x) |
Compiled 48 to 15 computations (68.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) |
| 1.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) |
| 1.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) |
| 1.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) |
| 1× | batch-egg-rewrite |
| 586× | pow1_binary64 |
| 540× | add-log-exp_binary64 |
| 540× | log1p-expm1-u_binary64 |
| 540× | expm1-log1p-u_binary64 |
| 527× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 161 | 14 |
| 2 | 1545 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 y) x))) (sqrt.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) (sqrt.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (pow.f64 (*.f64 (log.f64 y) x) 1/4)) (pow.f64 (*.f64 (log.f64 y) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (cbrt.f64 (*.f64 (log.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (log.f64 y))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) (pow.f64 (*.f64 (log.f64 y) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 y) x)))))))) |
| 1× | egg-herbie |
| 712× | unswap-sqr_binary64 |
| 326× | unsub-neg_binary64 |
| 317× | fma-neg_binary64 |
| 315× | distribute-rgt-neg-in_binary64 |
| 315× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 200 |
| 1 | 44 | 196 |
| 2 | 82 | 196 |
| 3 | 208 | 164 |
| 4 | 725 | 164 |
| 5 | 2619 | 164 |
| 6 | 5173 | 164 |
| 7 | 6434 | 164 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x)))) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(sqrt.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(sqrt.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(sqrt.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) |
(sqrt.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(sqrt.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(sqrt.f64 (*.f64 (log.f64 y) x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) | |
| 0.4b | (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) | |
| 0.0b | (*.f64 z (log.f64 (-.f64 1 y))) | |
| 0.0b | (-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| ✓ | 0.4b | (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
| 0.5b | (pow.f64 (cbrt.f64 x) 2) | |
| 0.6b | (cbrt.f64 x) | |
| 6.6b | (log.f64 (-.f64 1 y)) |
Compiled 84 to 45 computations (46.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
| 2.0ms | y | @ | 0 | (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
| 2.0ms | x | @ | 0 | (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 739× | pow1_binary64 |
| 680× | add-log-exp_binary64 |
| 680× | log1p-expm1-u_binary64 |
| 680× | expm1-log1p-u_binary64 |
| 664× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 6 |
| 1 | 179 | 6 |
| 2 | 1967 | 6 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x))))))) |
| 1× | egg-herbie |
| 3183× | fma-neg_binary64 |
| 757× | fma-def_binary64 |
| 376× | associate--r-_binary64 |
| 349× | unsub-neg_binary64 |
| 309× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 144 |
| 1 | 34 | 144 |
| 2 | 61 | 144 |
| 3 | 135 | 144 |
| 4 | 275 | 144 |
| 5 | 650 | 144 |
| 6 | 1890 | 144 |
| 7 | 2912 | 144 |
| 8 | 3528 | 144 |
| 9 | 3574 | 144 |
| 10 | 3592 | 144 |
| 11 | 3594 | 144 |
| 12 | 5993 | 144 |
| 13 | 6607 | 144 |
| 14 | 6873 | 144 |
| 15 | 6960 | 144 |
| 16 | 6974 | 144 |
| 17 | 6978 | 144 |
| 18 | 7128 | 144 |
| 19 | 7136 | 144 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
(*.f64 (log.f64 y) x) |
Compiled 7753 to 3452 computations (55.5% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 381 | 12 | 393 |
| Fresh | 9 | 8 | 17 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 6 | 8 |
| Total | 393 | 26 | 419 |
| Status | Error | Program |
|---|---|---|
| 0.8b | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x)) (+.f64 (*.f64 y z) t)) | |
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) t) |
| 33.7b | (-.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) 2) 2) (+.f64 (*.f64 y z) t)) | |
| 29.3b | (-.f64 (*.f64 (log.f64 y) x) (*.f64 y z)) | |
| 33.9b | (-.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 y) x))) 3) 2) (+.f64 (*.f64 y z) t)) | |
| 0.9b | (-.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) (*.f64 z (neg.f64 y))) t) | |
| 51.2b | (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) | |
| 30.9b | (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y))) (+.f64 (*.f64 y z) t)) | |
| ✓ | 55.2b | (*.f64 y (neg.f64 z)) |
| 26.5b | (-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) | |
| ✓ | 26.6b | (-.f64 (*.f64 y (neg.f64 z)) t) |
| 15.7b | (-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 55.1b | (*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y)) | |
| ✓ | 54.9b | (*.f64 z (log1p.f64 (neg.f64 y))) |
| 30.4b | (-.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 33.6b | (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) (sqrt.f64 (*.f64 (log.f64 y) x)))) (+.f64 (*.f64 y z) t)) | |
| 8.1b | (-.f64 (+.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 55.4b | (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) | |
| 24.9b | (-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t) | |
| 0.9b | (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) (+.f64 (*.f64 y z) t)) | |
| 55.1b | (*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) | |
| 8.0b | (-.f64 (*.f64 (log.f64 y) x) t) | |
| ✓ | 36.7b | (*.f64 (log.f64 y) x) |
| 37.1b | (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) | |
| 34.1b | (+.f64 (*.f64 y z) (neg.f64 t)) | |
| ✓ | 34.0b | (neg.f64 t) |
Compiled 410 to 291 computations (29% saved)
| Inputs |
|---|
(neg.f64 t) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y z) (neg.f64 t)) |
(-.f64 (*.f64 y (neg.f64 z)) t) |
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y)) |
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) |
(*.f64 (log.f64 y) x) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (*.f64 (log.f64 y) x) (*.f64 y z)) |
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) t) |
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) |
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) |
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y))) (+.f64 (*.f64 y z) t)) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y))) (+.f64 (*.f64 y z) t)) |
(-.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) 2) 2) (+.f64 (*.f64 y z) t)) |
(-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 y) x))) 3) 2) (+.f64 (*.f64 y z) t)) |
(-.f64 (+.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)) 3) (*.f64 z (neg.f64 y))) t) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x)) (+.f64 (*.f64 y z) t)) |
(-.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t) |
(-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) (sqrt.f64 (*.f64 (log.f64 y) x)))) (+.f64 (*.f64 y z) t)) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) t) |
4 calls:
| 36.0ms | t |
| 24.0ms | y |
| 17.0ms | z |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | t |
Compiled 330 to 156 computations (52.7% saved)
| Inputs |
|---|
(neg.f64 t) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y z) (neg.f64 t)) |
(-.f64 (*.f64 y (neg.f64 z)) t) |
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y)) |
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) |
(*.f64 (log.f64 y) x) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (*.f64 (log.f64 y) x) (*.f64 y z)) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (*.f64 (log.f64 y) x) (*.f64 y z)) |
(-.f64 (*.f64 (log.f64 y) x) t) |
4 calls:
| 54.0ms | x |
| 50.0ms | t |
| 38.0ms | z |
| 22.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 4.8b | 3 | x |
| 6.7b | 3 | y |
| 5.4b | 4 | z |
| 4.1b | 3 | t |
Compiled 98 to 52 computations (46.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 71.0ms | 3.850130319430743e-86 | 3.2707775508987127e-84 |
| 59.0ms | -2.008210813311964e-75 | -9.503827415252146e-76 |
Compiled 24 to 18 computations (25% saved)
| Inputs |
|---|
(neg.f64 t) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y z) (neg.f64 t)) |
(-.f64 (*.f64 y (neg.f64 z)) t) |
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y)) |
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) |
(*.f64 (log.f64 y) x) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
(-.f64 (*.f64 (log.f64 y) x) t) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 y) x) t) |
(-.f64 (*.f64 y (neg.f64 z)) t) |
(-.f64 (*.f64 (log.f64 y) x) t) |
4 calls:
| 55.0ms | z |
| 30.0ms | x |
| 19.0ms | y |
| 9.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 4.8b | 3 | x |
| 6.7b | 3 | y |
| 6.7b | 2 | z |
| 8.0b | 1 | t |
Compiled 90 to 51 computations (43.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 86.0ms | 6.060342914185974e-205 | 7.881518931299937e-191 |
| 57.0ms | -7.432213117427062e-136 | -3.5259010577043925e-140 |
Compiled 24 to 18 computations (25% saved)
| Inputs |
|---|
(neg.f64 t) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y z) (neg.f64 t)) |
(-.f64 (*.f64 y (neg.f64 z)) t) |
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y)) |
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) |
(*.f64 (log.f64 y) x) |
(*.f64 z (log1p.f64 (neg.f64 y))) |
| Outputs |
|---|
(*.f64 (log.f64 y) x) |
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
(*.f64 (log.f64 y) x) |
4 calls:
| 88.0ms | y |
| 61.0ms | z |
| 26.0ms | t |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.7b | 3 | x |
| 17.5b | 12 | y |
| 20.5b | 7 | z |
| 17.1b | 3 | t |
Compiled 84 to 50 computations (40.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 2.1310013792096254e+62 | 1.5380579476896014e+65 |
| 77.0ms | -6.267401684283695e+84 | -1.1340709772356521e+83 |
Compiled 24 to 18 computations (25% saved)
| Inputs |
|---|
(neg.f64 t) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y z) (neg.f64 t)) |
(-.f64 (*.f64 y (neg.f64 z)) t) |
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y)) |
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
4 calls:
| 7.0ms | x |
| 7.0ms | t |
| 6.0ms | z |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.5b | 1 | x |
| 26.5b | 1 | y |
| 26.5b | 1 | z |
| 26.5b | 1 | t |
Compiled 75 to 45 computations (40% saved)
| Inputs |
|---|
(neg.f64 t) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y z) (neg.f64 t)) |
(-.f64 (*.f64 y (neg.f64 z)) t) |
(*.f64 z (-.f64 (*.f64 -1/2 (*.f64 y y)) y)) |
| Outputs |
|---|
(-.f64 (*.f64 y (neg.f64 z)) t) |
4 calls:
| 9.0ms | x |
| 6.0ms | z |
| 5.0ms | t |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.6b | 1 | x |
| 26.6b | 1 | y |
| 26.6b | 1 | z |
| 26.6b | 1 | t |
Compiled 51 to 31 computations (39.2% saved)
Total -32.5b remaining (-108.2%)
Threshold costs -32.5b (-108.2%)
| Inputs |
|---|
(neg.f64 t) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y z) (neg.f64 t)) |
| Outputs |
|---|
(neg.f64 t) |
(*.f64 y (neg.f64 z)) |
(neg.f64 t) |
4 calls:
| 17.0ms | z |
| 15.0ms | t |
| 5.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 34.0b | 1 | x |
| 34.0b | 1 | y |
| 32.8b | 3 | z |
| 30.1b | 3 | t |
Compiled 36 to 25 computations (30.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 62.0ms | 3.850130319430743e-86 | 3.2707775508987127e-84 |
| 61.0ms | -9.503827415252146e-76 | -2.338877790389972e-97 |
Compiled 24 to 18 computations (25% saved)
| 1× | egg-herbie |
| 13× | +-commutative_binary64 |
| 13× | *-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 198 |
| 1 | 81 | 198 |
| 2 | 97 | 198 |
| 3 | 107 | 198 |
| 4 | 110 | 198 |
| 5 | 111 | 198 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) t) |
(if (<=.f64 t -4090797674780409/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (-.f64 (*.f64 (log.f64 y) x) t) (if (<=.f64 t 5389568212277723/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (-.f64 (*.f64 (log.f64 y) x) (*.f64 y z)) (-.f64 (*.f64 (log.f64 y) x) t))) |
(if (<=.f64 x -9964968597286195200/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 (*.f64 (log.f64 y) x) t) (if (<=.f64 x 219065510198011232/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (-.f64 (*.f64 y (neg.f64 z)) t) (-.f64 (*.f64 (log.f64 y) x) t))) |
(if (<=.f64 x -6267401684283694948918460861126179641653225107454671313476034005265199440265421520896) (*.f64 (log.f64 y) x) (if (<=.f64 x 213100137920962537633289060213681882399025212492454744545034240) (-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) (*.f64 (log.f64 y) x))) |
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
(-.f64 (*.f64 y (neg.f64 z)) t) |
(if (<=.f64 t -1935963835774261/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (neg.f64 t) (if (<=.f64 t 5389568212277723/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (*.f64 y (neg.f64 z)) (neg.f64 t))) |
(neg.f64 t) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y)))))) t) |
(-.f64 (+.f64 (*.f64 z (*.f64 1/3 (*.f64 3 (log1p.f64 (neg.f64 y))))) (*.f64 x (log.f64 y))) t) |
(if (<=.f64 t -4090797674780409/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (-.f64 (*.f64 (log.f64 y) x) t) (if (<=.f64 t 5389568212277723/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (-.f64 (*.f64 (log.f64 y) x) (*.f64 y z)) (-.f64 (*.f64 (log.f64 y) x) t))) |
(if (<=.f64 t -4090797674780409/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (-.f64 (*.f64 x (log.f64 y)) t) (if (<=.f64 t 5389568212277723/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (-.f64 (*.f64 x (log.f64 y)) (*.f64 y z)) (-.f64 (*.f64 x (log.f64 y)) t))) |
(if (<=.f64 x -9964968597286195200/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 (*.f64 (log.f64 y) x) t) (if (<=.f64 x 219065510198011232/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (-.f64 (*.f64 y (neg.f64 z)) t) (-.f64 (*.f64 (log.f64 y) x) t))) |
(if (<=.f64 x -2432853661446825/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (-.f64 (*.f64 x (log.f64 y)) t) (if (<=.f64 x 6845797193687851/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (-.f64 (*.f64 y (neg.f64 z)) t) (-.f64 (*.f64 x (log.f64 y)) t))) |
(if (<=.f64 x -6267401684283694948918460861126179641653225107454671313476034005265199440265421520896) (*.f64 (log.f64 y) x) (if (<=.f64 x 213100137920962537633289060213681882399025212492454744545034240) (-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) (*.f64 (log.f64 y) x))) |
(if (<=.f64 x -6267401684283694948918460861126179641653225107454671313476034005265199440265421520896) (*.f64 x (log.f64 y)) (if (<=.f64 x 213100137920962537633289060213681882399025212492454744545034240) (-.f64 (*.f64 (*.f64 y z) (+.f64 -1 (*.f64 y -1/2))) t) (*.f64 x (log.f64 y)))) |
(-.f64 (*.f64 (*.f64 z y) (+.f64 -1 (*.f64 y -1/2))) t) |
(-.f64 (*.f64 (*.f64 y z) (+.f64 -1 (*.f64 y -1/2))) t) |
(-.f64 (*.f64 y (neg.f64 z)) t) |
(if (<=.f64 t -1935963835774261/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (neg.f64 t) (if (<=.f64 t 5389568212277723/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736) (*.f64 y (neg.f64 z)) (neg.f64 t))) |
(neg.f64 t) |
| 1× | fuel |
Compiled 300 to 159 computations (47% saved)
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