Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 31.3% | 31.2% | 68.7% | 0.1% | 0% | 0% | 0% | 6 |
| 45.9% | 43.7% | 51.5% | 0.1% | 4.7% | 0% | 0% | 7 |
| 50.8% | 48.4% | 46.8% | 0.1% | 4.7% | 0% | 0% | 8 |
| 59.7% | 55.4% | 37.5% | 0.1% | 7% | 0% | 0% | 9 |
| 62.6% | 58.1% | 34.7% | 0.1% | 7% | 0% | 0% | 10 |
| 67.4% | 61.9% | 29.9% | 0.1% | 8.2% | 0% | 0% | 11 |
| 69% | 63.3% | 28.4% | 0.1% | 8.2% | 0% | 0% | 12 |
Compiled 12 to 9 computations (25% saved)
| 2.5s | 2531× | body | 8192 | exit |
| 1.3s | 7788× | body | 256 | valid |
| 131.0ms | 227× | body | 1024 | valid |
| 99.0ms | 241× | body | 512 | valid |
| 39.0ms | 155× | body | 256 | infinite |
| 2× | egg-herbie |
| 732× | times-frac_binary64 |
| 550× | fma-def_binary64 |
| 473× | associate-/r/_binary64 |
| 413× | fabs-mul_binary64 |
| 232× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 22 |
| 1 | 32 | 22 |
| 2 | 45 | 22 |
| 3 | 71 | 22 |
| 4 | 101 | 22 |
| 5 | 150 | 22 |
| 6 | 231 | 22 |
| 7 | 321 | 22 |
| 8 | 428 | 22 |
| 9 | 546 | 22 |
| 10 | 638 | 22 |
| 11 | 678 | 22 |
| 12 | 826 | 22 |
| 13 | 1267 | 22 |
| 14 | 3095 | 22 |
| 15 | 5889 | 22 |
| 16 | 7245 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x)) |
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 479× | fma-def_binary64 |
| 369× | times-frac_binary64 |
| 368× | associate-*l*_binary64 |
| 315× | associate-/l*_binary64 |
| 289× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 19 | 11 |
| 2 | 30 | 11 |
| 3 | 47 | 11 |
| 4 | 66 | 11 |
| 5 | 100 | 11 |
| 6 | 154 | 11 |
| 7 | 206 | 11 |
| 8 | 275 | 11 |
| 9 | 354 | 11 |
| 10 | 416 | 11 |
| 11 | 442 | 11 |
| 12 | 521 | 11 |
| 13 | 749 | 11 |
| 14 | 1685 | 11 |
| 15 | 4925 | 11 |
| 16 | 6027 | 11 |
| 17 | 7666 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 18 to 10 computations (44.4% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 9 to 6 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ✓ | 0.2b | (log1p.f64 (exp.f64 x)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | inf | (log1p.f64 (exp.f64 x)) |
| 19.0ms | x | @ | -inf | (log1p.f64 (exp.f64 x)) |
| 3.0ms | y | @ | 0 | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 1.0ms | x | @ | 0 | (log1p.f64 (exp.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 792× | pow1_binary64 |
| 733× | add-log-exp_binary64 |
| 733× | expm1-log1p-u_binary64 |
| 732× | log1p-expm1-u_binary64 |
| 716× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 147 | 16 |
| 2 | 2015 | 16 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (exp.f64 x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 373× | fma-neg_binary64 |
| 329× | unswap-sqr_binary64 |
| 319× | times-frac_binary64 |
| 274× | log-prod_binary64 |
| 267× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1115 |
| 1 | 385 | 1055 |
| 2 | 1646 | 1055 |
| 3 | 7076 | 1055 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
(*.f64 (log1p.f64 (exp.f64 x)) 1) |
(*.f64 1 (log1p.f64 (exp.f64 x))) |
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) |
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 1) |
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3) |
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2) |
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) |
(log.f64 (+.f64 (exp.f64 x) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) |
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) |
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))) |
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))) |
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) |
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))) |
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)) |
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))) |
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) |
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(log.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(neg.f64 (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) |
(log1p.f64 (exp.f64 x)) |
(*.f64 (log1p.f64 (exp.f64 x)) 1) |
(log1p.f64 (exp.f64 x)) |
(*.f64 1 (log1p.f64 (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) |
(log1p.f64 (exp.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(pow.f64 (log1p.f64 (exp.f64 x)) 1) |
(log1p.f64 (exp.f64 x)) |
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3) |
(log1p.f64 (exp.f64 x)) |
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2) |
(log1p.f64 (exp.f64 x)) |
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3) |
(log1p.f64 (exp.f64 x)) |
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) |
(log1p.f64 (exp.f64 x)) |
(log.f64 (+.f64 (exp.f64 x) 1)) |
(log1p.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) |
(log1p.f64 (exp.f64 x)) |
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (exp.f64 x)) |
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) |
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
Compiled 1128 to 413 computations (63.4% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 5 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 74 | 6 | 80 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.2b | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| ▶ | 7.5b | (/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) |
| ✓ | 0.3b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ▶ | 8.3b | (-.f64 (log.f64 2) (*.f64 x y)) |
| ▶ | 13.2b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| ▶ | 34.7b | (*.f64 x (neg.f64 y)) |
Compiled 121 to 84 computations (30.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (log1p.f64 (exp.f64 x)) | |
| ✓ | 0.3b | (pow.f64 (*.f64 x y) 2) |
| ✓ | 0.7b | (pow.f64 (log1p.f64 (exp.f64 x)) 2) |
| ✓ | 6.9b | (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) |
Compiled 82 to 31 computations (62.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) |
| 1.0ms | y | @ | -inf | (pow.f64 (*.f64 x y) 2) |
| 1× | batch-egg-rewrite |
| 639× | log-prod_binary64 |
| 525× | fma-def_binary64 |
| 329× | pow2_binary64 |
| 244× | fma-neg_binary64 |
| 227× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 268 | 29 |
| 2 | 3779 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(pow.f64 (*.f64 x y) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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(exp.f64 x))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x y) 2))))) (/.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))) (fma.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (*.f64 x y) 4))) (pow.f64 (hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (pow.f64 (*.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 4)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) 3) (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x y))) 1)))))) |
| 1× | egg-herbie |
| 395× | distribute-rgt-in_binary64 |
| 368× | distribute-lft-in_binary64 |
| 342× | associate-*l/_binary64 |
| 322× | unswap-sqr_binary64 |
| 265× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 2978 |
| 1 | 782 | 2805 |
| 2 | 2611 | 2762 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (log.f64 2)) |
(+.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 2)))) x) (/.f64 1 (log.f64 2))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (log.f64 2) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) (*.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 2)))) x) (/.f64 1 (log.f64 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (log.f64 2) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) (*.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 2)))) x) (+.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (log.f64 2) 4)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (*.f64 (-.f64 (+.f64 1/4 (*.f64 1/4 (log.f64 2))) (pow.f64 y 2)) (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (pow.f64 (log.f64 2) 2))))) (pow.f64 x 3)) (/.f64 1 (log.f64 2))))) |
(/.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (/.f64 1 (*.f64 y x))) |
(/.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (/.f64 1 (*.f64 y x))) |
(/.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) (/.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)) (/.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)) (/.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))))) |
(/.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (/.f64 1 (*.f64 y x))) |
(/.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (/.f64 1 (*.f64 y x))) |
(pow.f64 (log.f64 2) 2) |
(+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) x)) |
(+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (+.f64 1/4 (*.f64 1/4 (log.f64 2))) (pow.f64 x 2)) (*.f64 (log.f64 2) x))) |
(+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (+.f64 1/4 (*.f64 1/4 (log.f64 2))) (pow.f64 x 2)) (+.f64 (*.f64 (log.f64 2) x) (*.f64 1/8 (pow.f64 x 3))))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 0 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 1) |
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) |
(*.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1) |
(*.f64 1 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (/.f64 1 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))) |
(*.f64 (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (fma.f64 x y (log1p.f64 (exp.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1) (/.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 2)) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 2)) (/.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))) |
(*.f64 (/.f64 1 (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x y) 2))))) (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x y) 2))))) (/.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)))))) |
(*.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))) (fma.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 4))) |
(*.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (pow.f64 (*.f64 x y) 4))) (pow.f64 (hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)) |
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3) |
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2) |
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) -1) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 3)) 1/3) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1) -1) |
(neg.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))) |
(sqrt.f64 (pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1)) |
(+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1) |
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) |
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) |
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) |
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (sqrt.f64 (log1p.f64 (exp.f64 x)))) |
(*.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) |
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) |
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x))))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1)) |
(+.f64 0 (pow.f64 (*.f64 x y) 2)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) 2))) 1) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 (*.f64 x y) (*.f64 x y)) |
(*.f64 (pow.f64 (*.f64 x y) 2) 1) |
(*.f64 1 (pow.f64 (*.f64 x y) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (pow.f64 (*.f64 x y) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 x y))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 4)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) |
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 x y))) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) 3) (sqrt.f64 (*.f64 x y))) |
(*.f64 (*.f64 (*.f64 x y) x) y) |
(*.f64 (*.f64 (*.f64 x y) y) x) |
(*.f64 (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))) |
(sqrt.f64 (pow.f64 (*.f64 x y) 4)) |
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x y) 2)))) |
(cbrt.f64 (pow.f64 (*.f64 x y) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) 2))) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) 2))) |
(exp.f64 (*.f64 2 (log.f64 (*.f64 x y)))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x y))) 1)) |
| Outputs |
|---|
(/.f64 1 (log.f64 2)) |
(+.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 2)))) x) (/.f64 1 (log.f64 2))) |
(fma.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 1/2 (pow.f64 (log.f64 2) 2))) x (/.f64 1 (log.f64 2))) |
(fma.f64 (+.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 -1/2 (pow.f64 (log.f64 2) 2))) x (/.f64 1 (log.f64 2))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (log.f64 2) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) (*.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 2)))) x) (/.f64 1 (log.f64 2)))) |
(fma.f64 (-.f64 (+.f64 (/.f64 (*.f64 y y) (pow.f64 (log.f64 2) 3)) (/.f64 1/2 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (+.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) (/.f64 1/8 (pow.f64 (log.f64 2) 2))))) (*.f64 x x) (fma.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 1/2 (pow.f64 (log.f64 2) 2))) x (/.f64 1 (log.f64 2)))) |
(fma.f64 (-.f64 (+.f64 (/.f64 (*.f64 y y) (pow.f64 (log.f64 2) 3)) (/.f64 1/2 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (+.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) (/.f64 1/8 (pow.f64 (log.f64 2) 2))))) (*.f64 x x) (fma.f64 (+.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 -1/2 (pow.f64 (log.f64 2) 2))) x (/.f64 1 (log.f64 2)))) |
(fma.f64 (+.f64 (*.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) y) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 y (pow.f64 (log.f64 2) 3))) (/.f64 -1/8 (pow.f64 (log.f64 2) 2)))) (*.f64 x x) (fma.f64 (+.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 -1/2 (pow.f64 (log.f64 2) 2))) x (/.f64 1 (log.f64 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (log.f64 2) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) (*.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 2)))) x) (+.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (log.f64 2) 4)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (*.f64 (-.f64 (+.f64 1/4 (*.f64 1/4 (log.f64 2))) (pow.f64 y 2)) (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (pow.f64 (log.f64 2) 2))))) (pow.f64 x 3)) (/.f64 1 (log.f64 2))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 (*.f64 y y) (pow.f64 (log.f64 2) 3)) (/.f64 1/2 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (+.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) (/.f64 1/8 (pow.f64 (log.f64 2) 2))))) (*.f64 x x) (fma.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 1/2 (pow.f64 (log.f64 2) 2))) x (fma.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 4)) (+.f64 (/.f64 (*.f64 y y) (pow.f64 (log.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 4)) (/.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 1/2 (pow.f64 (log.f64 2) 2))) (-.f64 (+.f64 1/4 (*.f64 (log.f64 2) 1/4)) (*.f64 y y))) (pow.f64 (log.f64 2) 2))))) (pow.f64 x 3) (/.f64 1 (log.f64 2))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 (*.f64 y y) (pow.f64 (log.f64 2) 3)) (/.f64 1/2 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (+.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) (/.f64 1/8 (pow.f64 (log.f64 2) 2))))) (*.f64 x x) (fma.f64 (+.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 -1/2 (pow.f64 (log.f64 2) 2))) x (fma.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 4)) (+.f64 (/.f64 (*.f64 y y) (pow.f64 (log.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 4)) (*.f64 (/.f64 (-.f64 (fma.f64 (log.f64 2) 1/4 1/4) (*.f64 y y)) (pow.f64 (log.f64 2) 2)) (+.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 -1/2 (pow.f64 (log.f64 2) 2))))))) (pow.f64 x 3) (/.f64 1 (log.f64 2))))) |
(fma.f64 (+.f64 (*.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) y) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 y (pow.f64 (log.f64 2) 3))) (/.f64 -1/8 (pow.f64 (log.f64 2) 2)))) (*.f64 x x) (fma.f64 (+.f64 (/.f64 y (pow.f64 (log.f64 2) 2)) (/.f64 -1/2 (pow.f64 (log.f64 2) 2))) x (fma.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 4)) (+.f64 (*.f64 (-.f64 (/.f64 y (pow.f64 (log.f64 2) 3)) (/.f64 1/2 (pow.f64 (log.f64 2) 3))) (/.f64 (-.f64 (fma.f64 (log.f64 2) 1/4 1/4) (*.f64 y y)) (log.f64 2))) (+.f64 (/.f64 (*.f64 y y) (pow.f64 (log.f64 2) 4)) (/.f64 1/4 (pow.f64 (log.f64 2) 4))))) (pow.f64 x 3) (/.f64 1 (log.f64 2))))) |
(/.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x))) |
(-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 y x) 2))) (/.f64 1 (*.f64 y x))) |
(fma.f64 -1 (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 y x) 2)) (/.f64 -1 (*.f64 y x))) |
(-.f64 (/.f64 -1 (*.f64 y x)) (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 y x) 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 y x) 2)))) (/.f64 1 (*.f64 y x))) |
(fma.f64 -1 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 y x) 2)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 3))) (/.f64 -1 (*.f64 y x))) |
(-.f64 (-.f64 (/.f64 -1 (*.f64 y x)) (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 y x) 2))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 3))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4))) (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 y x) 2))))) (/.f64 1 (*.f64 y x))) |
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 y x) 2)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 4))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 3))) (/.f64 -1 (*.f64 y x))) |
(fma.f64 -1 (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 y x) 2)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 4))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 3))) (/.f64 -1 (*.f64 y x))) |
(/.f64 -1 (*.f64 y x)) |
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(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x)))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) |
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x)))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (sqrt.f64 (log1p.f64 (exp.f64 x)))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(*.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x))))) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1)) |
(pow.f64 (log1p.f64 (exp.f64 x)) 2) |
(+.f64 0 (pow.f64 (*.f64 x y) 2)) |
(pow.f64 (*.f64 y x) 2) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 y x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 y x) 2))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 y x) 2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 y x) 2))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) 2))) 1) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (*.f64 x y) (*.f64 x y)) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (pow.f64 (*.f64 x y) 2) 1) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 1 (pow.f64 (*.f64 x y) 2)) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (pow.f64 (*.f64 x y) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (pow.f64 (*.f64 y x) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 x y))) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 4)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (pow.f64 (*.f64 y x) 4))) |
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 x y))) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) 3) (sqrt.f64 (*.f64 x y))) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (*.f64 (*.f64 x y) x) y) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (*.f64 (*.f64 x y) y) x) |
(pow.f64 (*.f64 y x) 2) |
(*.f64 (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))) |
(pow.f64 (*.f64 y x) 2) |
(sqrt.f64 (pow.f64 (*.f64 x y) 4)) |
(pow.f64 (*.f64 y x) 2) |
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))) |
(pow.f64 (*.f64 y x) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x y) 2)))) |
(pow.f64 (*.f64 y x) 2) |
(cbrt.f64 (pow.f64 (*.f64 x y) 6)) |
(cbrt.f64 (pow.f64 (*.f64 y x) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) 2))) |
(pow.f64 (*.f64 y x) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) 2))) |
(pow.f64 (*.f64 y x) 2) |
(exp.f64 (*.f64 2 (log.f64 (*.f64 x y)))) |
(pow.f64 (*.f64 y x) 2) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x y))) 1)) |
(pow.f64 (*.f64 y x) 2) |
Compiled 10 to 4 computations (60% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log.f64 2) (*.f64 x y)) |
Compiled 16 to 9 computations (43.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (-.f64 (log.f64 2) (*.f64 x y)) |
| 2.0ms | x | @ | 0 | (-.f64 (log.f64 2) (*.f64 x y)) |
| 0.0ms | x | @ | inf | (-.f64 (log.f64 2) (*.f64 x y)) |
| 0.0ms | y | @ | inf | (-.f64 (log.f64 2) (*.f64 x y)) |
| 0.0ms | y | @ | -inf | (-.f64 (log.f64 2) (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 779× | pow1_binary64 |
| 725× | add-log-exp_binary64 |
| 724× | log1p-expm1-u_binary64 |
| 724× | expm1-log1p-u_binary64 |
| 710× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 151 | 9 |
| 2 | 1999 | 9 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 2) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 794× | fma-neg_binary64 |
| 548× | fma-def_binary64 |
| 419× | associate-/l/_binary64 |
| 299× | distribute-rgt-neg-in_binary64 |
| 224× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 795 |
| 1 | 297 | 735 |
| 2 | 1159 | 735 |
| 3 | 4872 | 675 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y))) |
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))) |
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2)) |
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) |
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y))) |
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y)))) |
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)))) |
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))) |
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) |
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3) |
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) |
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2)) |
(log.f64 (/.f64 2 (pow.f64 (exp.f64 y) x))) |
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(log.f64 2) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2)) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2))) |
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1) |
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y)))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2))) |
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2))) |
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2))) |
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1) |
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2))) |
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1) |
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2)) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(log.f64 (/.f64 2 (pow.f64 (exp.f64 y) x))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3)) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y)))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1/2 y) x) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
Compiled 24 to 17 computations (29.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 864× | prod-diff_binary64 |
| 596× | unpow-prod-down_binary64 |
| 435× | log-prod_binary64 |
| 278× | fma-def_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 200 | 17 |
| 2 | 2629 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (neg.f64 y))))))) |
| 1× | egg-herbie |
| 969× | fma-neg_binary64 |
| 659× | fma-def_binary64 |
| 407× | log-prod_binary64 |
| 397× | unswap-sqr_binary64 |
| 240× | hypot-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 1874 |
| 1 | 492 | 1573 |
| 2 | 1482 | 1540 |
| 3 | 6282 | 1511 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))) |
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) |
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 1)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 1)) |
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)) |
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) |
(/.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) |
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) |
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) -1) |
(pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2)) |
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2)) |
(fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2)) |
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2)) |
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2)) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2)) |
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2)) |
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2)) |
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2)) |
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 0 (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1) |
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4)) |
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y)) |
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1)) |
(fma.f64 1/2 x (*.f64 (neg.f64 y) x)) |
(fma.f64 x 1/2 (*.f64 x (neg.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))) |
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 1)) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 1)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2))) |
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/6) 4) |
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(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 0 (*.f64 (-.f64 1/2 y) x)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x)) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) |
(*.f64 x (-.f64 1/2 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1) |
(*.f64 x (-.f64 1/2 y)) |
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4)) |
(/.f64 x (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3)))) |
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)) x) |
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) x)) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))) |
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y))) |
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y)) |
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4)) |
(/.f64 x (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3)))) |
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)) x) |
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) x)) |
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y)) |
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))) |
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y))) |
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y)) |
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1) |
(*.f64 x (-.f64 1/2 y)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2) |
(*.f64 x (-.f64 1/2 y)) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) |
(*.f64 x (-.f64 1/2 y)) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) |
(*.f64 x (-.f64 1/2 y)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3) |
(*.f64 x (-.f64 1/2 y)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) |
(*.f64 x (-.f64 1/2 y)) |
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) |
(*.f64 x (-.f64 1/2 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))) |
(*.f64 x (-.f64 1/2 y)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) |
(*.f64 x (-.f64 1/2 y)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) |
(*.f64 x (-.f64 1/2 y)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) |
(*.f64 x (-.f64 1/2 y)) |
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
(*.f64 x (-.f64 1/2 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1)) |
(*.f64 x (-.f64 1/2 y)) |
(fma.f64 1/2 x (*.f64 (neg.f64 y) x)) |
(*.f64 x (-.f64 1/2 y)) |
(fma.f64 x 1/2 (*.f64 x (neg.f64 y))) |
(*.f64 x (-.f64 1/2 y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
Compiled 18 to 13 computations (27.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 0.0ms | x | @ | inf | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 0.0ms | y | @ | 0 | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 0.0ms | y | @ | -inf | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 0.0ms | y | @ | inf | (fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 830× | pow1_binary64 |
| 772× | add-log-exp_binary64 |
| 771× | log1p-expm1-u_binary64 |
| 771× | expm1-log1p-u_binary64 |
| 758× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 170 | 10 |
| 2 | 2023 | 10 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) |
| 1× | egg-herbie |
| 378× | associate-*l*_binary64 |
| 316× | associate-*r*_binary64 |
| 313× | associate-+l+_binary64 |
| 291× | fma-neg_binary64 |
| 279× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 685 |
| 1 | 156 | 497 |
| 2 | 590 | 493 |
| 3 | 3608 | 468 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) 1) (log.f64 2)) |
(-.f64 (+.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) |
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) |
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) 1) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(-.f64 (+.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (-.f64 1/2 y) (*.f64 x (*.f64 x (-.f64 1/2 y))) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(/.f64 (fma.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y)) (neg.f64 (pow.f64 (log.f64 2) 2))) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) |
(/.f64 (fma.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/2 y)) (*.f64 x x) (neg.f64 (pow.f64 (log.f64 2) 2))) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) |
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (/.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) |
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1) |
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
Compiled 9410 to 5620 computations (40.3% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 8 | 433 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 428 | 11 | 439 |
| Status | Error | Program |
|---|---|---|
| ▶ | 8.3b | (fma.f64 x (neg.f64 y) (log.f64 2)) |
| 34.7b | (/.f64 1 (/.f64 -1 (*.f64 y x))) | |
| ▶ | 14.4b | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
| ✓ | 0.3b | (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| ✓ | 8.3b | (-.f64 (log.f64 2) (*.f64 x y)) |
| 27.9b | (+.f64 (*.f64 1/2 x) (log.f64 2)) | |
| ▶ | 36.7b | (+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2)) |
| ▶ | 47.3b | (*.f64 (-.f64 1/2 y) x) |
| ✓ | 34.7b | (*.f64 x (neg.f64 y)) |
| ▶ | 28.2b | (log.f64 2) |
| 20.1b | (exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
Compiled 169 to 134 computations (20.7% saved)
Compiled 15 to 9 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1/2 y) x) |
Compiled 13 to 8 computations (38.5% saved)
Compiled 5 to 5 computations (0% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2)) |
| ✓ | 0.0b | (log.f64 (*.f64 (-.f64 1/2 y) x)) |
| 0.0b | (*.f64 (-.f64 1/2 y) x) | |
| ✓ | 2.4b | (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
Compiled 39 to 28 computations (28.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | -inf | (log.f64 (*.f64 (-.f64 1/2 y) x)) |
| 14.0ms | x | @ | 0 | (log.f64 (*.f64 (-.f64 1/2 y) x)) |
| 5.0ms | x | @ | inf | (log.f64 (*.f64 (-.f64 1/2 y) x)) |
| 1.0ms | y | @ | 0 | (log.f64 (*.f64 (-.f64 1/2 y) x)) |
| 1.0ms | y | @ | inf | (log.f64 (*.f64 (-.f64 1/2 y) x)) |
| 1× | batch-egg-rewrite |
| 875× | prod-diff_binary64 |
| 473× | log-prod_binary64 |
| 310× | pow-prod-down_binary64 |
| 291× | fma-def_binary64 |
| 277× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 224 | 26 |
| 2 | 2838 | 26 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
(log.f64 (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (log.f64 x)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 1/2 y))) (pow.f64 (exp.f64 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 (log.f64 (-.f64 1/2 y)) 1)) (pow.f64 (exp.f64 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) 1) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (neg.f64 y))))))) |
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2)))))) |
| 1× | egg-herbie |
| 566× | unswap-sqr_binary64 |
| 330× | fma-neg_binary64 |
| 320× | cancel-sign-sub-inv_binary64 |
| 303× | associate-/l*_binary64 |
| 266× | sqr-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 407 | 3612 |
| 1 | 956 | 3239 |
| 2 | 2850 | 3227 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 (-.f64 1/2 y) x) |
(log.f64 (*.f64 1/2 x)) |
(+.f64 (*.f64 -2 y) (log.f64 (*.f64 1/2 x))) |
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(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))) |
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) |
(/.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) |
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) |
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) -1) |
(pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2)) |
(fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2)) |
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2)) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2)) |
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x)) |
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2)) |
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2)) |
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2)) |
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2)) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
(log.f64 (*.f64 1/2 x)) |
(+.f64 (*.f64 -2 y) (log.f64 (*.f64 1/2 x))) |
(fma.f64 -2 y (log.f64 (*.f64 1/2 x))) |
(fma.f64 y -2 (log.f64 (*.f64 1/2 x))) |
(+.f64 (*.f64 -2 y) (+.f64 (*.f64 -2 (pow.f64 y 2)) (log.f64 (*.f64 1/2 x)))) |
(fma.f64 -2 y (fma.f64 -2 (*.f64 y y) (log.f64 (*.f64 1/2 x)))) |
(fma.f64 y -2 (fma.f64 -2 (*.f64 y y) (log.f64 (*.f64 1/2 x)))) |
(+.f64 (*.f64 -2 y) (+.f64 (*.f64 -8/3 (pow.f64 y 3)) (+.f64 (*.f64 -2 (pow.f64 y 2)) (log.f64 (*.f64 1/2 x))))) |
(fma.f64 -2 y (fma.f64 -8/3 (pow.f64 y 3) (fma.f64 -2 (*.f64 y y) (log.f64 (*.f64 1/2 x))))) |
(fma.f64 y -2 (fma.f64 -8/3 (pow.f64 y 3) (fma.f64 -2 (*.f64 y y) (log.f64 (*.f64 1/2 x))))) |
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 y)) |
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y))) |
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1/2 y))) |
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 y) (/.f64 -1/2 y))) |
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2))))) |
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))))) |
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (+.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/8 y) y)))) |
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (+.f64 (log.f64 y) (/.f64 -1/2 y)) (/.f64 -1/8 (*.f64 y y)))) |
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2)))))) |
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))) (/.f64 1/24 (pow.f64 y 3))))) |
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (+.f64 (/.f64 1/2 y) (+.f64 (/.f64 (/.f64 1/8 y) y) (/.f64 1/24 (pow.f64 y 3)))))) |
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (+.f64 (+.f64 (log.f64 y) (/.f64 -1/2 y)) (/.f64 -1/8 (*.f64 y y))) (/.f64 1/24 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) |
(-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (*.f64 1/2 (/.f64 1 y))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) (/.f64 1/2 y)) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 y)) |
(-.f64 (+.f64 (log.f64 x) (/.f64 -1/2 y)) (log.f64 (/.f64 -1 y))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y)))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (-.f64 (/.f64 -1/2 y) (/.f64 (/.f64 1/8 y) y))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -1/2 y) (/.f64 -1/8 (*.f64 y y)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2)))))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))) (/.f64 1/24 (pow.f64 y 3)))) |
(-.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 y) (+.f64 (/.f64 (/.f64 1/8 y) y) (/.f64 1/24 (pow.f64 y 3))))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 -1/2 y) (/.f64 -1/8 (*.f64 y y))) (/.f64 -1/24 (pow.f64 y 3)))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) |
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) |
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) |
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) |
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 2) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(*.f64 (-.f64 1/2 y) x) |
(*.f64 x (-.f64 1/2 y)) |
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(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) |
| ✓ | 0.1b | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
| 0.2b | (log1p.f64 (exp.f64 x)) | |
| ✓ | 1.2b | (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
Compiled 59 to 12 computations (79.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
| 2.0ms | x | @ | -inf | (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
| 2.0ms | y | @ | -inf | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
| 2.0ms | x | @ | inf | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
| 2.0ms | y | @ | inf | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
| 1× | batch-egg-rewrite |
| 960× | pow1_binary64 |
| 889× | add-log-exp_binary64 |
| 888× | expm1-log1p-u_binary64 |
| 887× | log1p-expm1-u_binary64 |
| 121× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 244 | 35 |
| 2 | 3193 | 35 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 508× | fma-def_binary64 |
| 368× | times-frac_binary64 |
| 343× | associate-/r*_binary64 |
| 313× | associate-+r+_binary64 |
| 313× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 627 | 8587 |
| 1 | 2028 | 6626 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (log.f64 (log.f64 2)))) |
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(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (*.f64 -1 y)))))) |
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(exp.f64 (neg.f64 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))) |
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(exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (*.f64 -1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))) |
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(/.f64 1 (exp.f64 (neg.f64 (log.f64 (log.f64 2))))) |
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(pow.f64 (exp.f64 -1) (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)) |
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))) |
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))) |
(+.f64 0 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(-.f64 0 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 1) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1) |
(*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) -1) |
(*.f64 1 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2) (neg.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (neg.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(*.f64 -1 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (*.f64 0 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(pow.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3) 1/3) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2) |
(neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(log1p.f64 (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
| Outputs |
|---|
(exp.f64 (neg.f64 (log.f64 (log.f64 2)))) |
(/.f64 1 (log.f64 2)) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x))) |
(fma.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) (/.f64 x (log.f64 2)) (/.f64 1 (log.f64 2))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (+.f64 (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x)) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (*.f64 1/4 (/.f64 1 (log.f64 2))))) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (pow.f64 x 2))))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (fma.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x) (*.f64 (fma.f64 -1/2 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (log.f64 2))) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 x x))))) |
(+.f64 (/.f64 1 (log.f64 2)) (fma.f64 (fma.f64 -1/2 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) 2))) (*.f64 x (/.f64 x (log.f64 2))) (*.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) (/.f64 x (log.f64 2))))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (+.f64 (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x)) (+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) 3)) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (*.f64 1/4 (/.f64 1 (log.f64 2)))))) (*.f64 -1/6 (+.f64 (*.f64 -3/4 (/.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) (*.f64 2 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 3))))))) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (*.f64 1/4 (/.f64 1 (log.f64 2))))) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (pow.f64 x 2)))))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (fma.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x) (fma.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 (fma.f64 1/6 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) 3) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (log.f64 2)))) (*.f64 -1/6 (fma.f64 -3/4 (/.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2)) (*.f64 2 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 3))))))) (pow.f64 x 3)) (*.f64 (fma.f64 -1/2 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (log.f64 2))) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 x x)))))) |
(+.f64 (fma.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) (/.f64 x (log.f64 2)) (/.f64 1 (log.f64 2))) (fma.f64 (/.f64 1 (log.f64 2)) (*.f64 (fma.f64 1/6 (pow.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) 3) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2)))) (+.f64 (*.f64 (/.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2)) 1/8) (*.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 3)) -1/3)))) (pow.f64 x 3)) (*.f64 (fma.f64 -1/2 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) 2))) (*.f64 x (/.f64 x (log.f64 2)))))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y))))) |
(exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y)))) |
(+.f64 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y)))))) (*.f64 y x)) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y)))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))) (/.f64 (log1p.f64 (exp.f64 x)) (/.f64 (*.f64 y x) (exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y)))))))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) (/.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y)))) x) (exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))) |
(+.f64 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y)))))) (*.f64 y x)) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y)))))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y))))))) |
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (/.f64 (*.f64 y x) (exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))))) (+.f64 (exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 y y)) (/.f64 (exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))) (*.f64 x x))))) |
(+.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) (/.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y)))) x) (exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (pow.f64 y 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (pow.f64 y 3))) (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (pow.f64 y 3))))) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y)))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y)))))) (*.f64 y x)) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y)))))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 y)))))))) |
(+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (/.f64 (*.f64 y x) (exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))))) (+.f64 (exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 y y)) (/.f64 (exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))) (*.f64 x x))))) (/.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 y 3)))) (/.f64 (pow.f64 x 3) (exp.f64 (neg.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y)))))))) |
(+.f64 (+.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) (/.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y)))) x) (exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y)))))) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 y 3)) 1) (pow.f64 x 3)) (exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 y)))))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (*.f64 -1 y)))))) |
(exp.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (*.f64 1 y))))) |
(exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (*.f64 -1 y)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (*.f64 -1 y)))))) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 y x))) |
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(log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) |
(log1p.f64 (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)) |
(log1p.f64 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) -1)) |
(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x 1))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) |
(log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) |
Compiled 19778 to 12936 computations (34.6% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 687 | 7 | 694 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 4 | 7 |
| Total | 693 | 12 | 705 |
| Status | Error | Program |
|---|---|---|
| ✓ | 8.3b | (fma.f64 x (neg.f64 y) (log.f64 2)) |
| ▶ | 20.1b | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)))))) |
| 27.8b | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) | |
| 55.8b | (/.f64 1 1) | |
| ✓ | 8.3b | (-.f64 (log.f64 2) (*.f64 x y)) |
| ▶ | 27.9b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| ▶ | 55.6b | (+.f64 (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (log.f64 2)) |
| ▶ | 45.9b | (+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2)) |
| ✓ | 34.7b | (*.f64 x (neg.f64 y)) |
| ▶ | 61.7b | (*.f64 1/2 x) |
| 27.8b | (log1p.f64 (exp.f64 x)) | |
| ✓ | 28.2b | (log.f64 2) |
Compiled 176 to 150 computations (14.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)) |
| ✓ | 0.0b | (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))) |
| ✓ | 0.0b | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)))))) |
| ✓ | 0.8b | (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))))) |
Compiled 82 to 56 computations (31.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)) |
| 3.0ms | x | @ | -inf | (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))))) |
| 3.0ms | y | @ | -inf | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)))))) |
| 2.0ms | y | @ | inf | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)))))) |
| 2.0ms | x | @ | -inf | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)))))) |
| 1× | batch-egg-rewrite |
| 603× | log-prod_binary64 |
| 577× | fma-def_binary64 |
| 329× | pow2_binary64 |
| 276× | fma-neg_binary64 |
| 228× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 63 |
| 1 | 322 | 54 |
| 2 | 4336 | 54 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))))) |
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)))))) |
(log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))) |
(-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))))) (#(struct:change #<rule 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fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 1/2 x (log.f64 2))))))) |
| 1× | egg-herbie |
| 538× | fma-def_binary64 |
| 470× | times-frac_binary64 |
| 387× | associate-/r*_binary64 |
| 362× | associate-/l*_binary64 |
| 273× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 937 | 21152 |
| 1 | 2801 | 18302 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (log.f64 (log.f64 2)))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (+.f64 (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2))))) (pow.f64 (log.f64 2) 2))) (*.f64 1/6 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) 3)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (pow.f64 x 3))) (+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (+.f64 (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (pow.f64 x 2)))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x))) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x))) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))))) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x))) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2)) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2)) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2)) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 3))) (*.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 3)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 2) (pow.f64 x 2)))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))) |
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))) x)) (+.f64 (*.f64 1/2 x) (log.f64 2))) (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))))) |
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))) x)) (+.f64 (*.f64 1/2 x) (log.f64 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))) (pow.f64 x 2))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))))) |
(+.f64 (/.f64 (*.f64 y (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))) x)) (+.f64 (*.f64 1/2 x) (log.f64 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))) (pow.f64 x 2))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) (+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))) (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 3))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 3)))))))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 3) (pow.f64 x 3))) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 3) (pow.f64 x 3))))) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 3)) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (*.f64 -1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))) |
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(log.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (exp.f64 x) y))) |
(log.f64 (/.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) (+.f64 1 (expm1.f64 (*.f64 x y))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (+.f64 1 (expm1.f64 (*.f64 x y))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (-.f64 (log.f64 2) (*.f64 x y))))) |
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(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) |
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(fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))) |
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(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))) |
(fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (*.f64 (neg.f64 x) 1) y (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 1/2 x (log.f64 2))) |
| Outputs |
|---|
(exp.f64 (neg.f64 (log.f64 (log.f64 2)))) |
(/.f64 1 (log.f64 2)) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x))) |
(fma.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) (/.f64 x (log.f64 2)) (/.f64 1 (log.f64 2))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (+.f64 (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (pow.f64 x 2))))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (fma.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x) (*.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 x x))))) |
(+.f64 (/.f64 1 (log.f64 2)) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) 2))) (*.f64 (/.f64 1 (log.f64 2)) (*.f64 x x)) (*.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) (/.f64 x (log.f64 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2))))) (pow.f64 (log.f64 2) 2))) (*.f64 1/6 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) 3)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (pow.f64 x 3))) (+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (+.f64 (*.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (*.f64 1/2 (/.f64 1 (log.f64 2)))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (pow.f64 x 2)))))) |
(fma.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))))) (*.f64 1/6 (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) 3)))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (pow.f64 x 3)) (+.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (fma.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) x) (*.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (-.f64 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) 2))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 2)))) (*.f64 x x)))))) |
(+.f64 (fma.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2)))) (*.f64 1/6 (pow.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) 3)))) (*.f64 (/.f64 1 (log.f64 2)) (pow.f64 x 3)) (/.f64 1 (log.f64 2))) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) 2))) (*.f64 (/.f64 1 (log.f64 2)) (*.f64 x x)) (*.f64 (+.f64 (/.f64 y (log.f64 2)) (/.f64 -1/2 (log.f64 2))) (/.f64 x (log.f64 2))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x)))))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x))) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) |
(fma.f64 -1 (*.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x)))))) x)) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))))) |
(-.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))) (/.f64 (/.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) (*.f64 x (-.f64 1/2 y)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x))) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) |
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x)))))) x)) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))))) (/.f64 (pow.f64 (log.f64 2) 2) (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x)) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))))))) |
(fma.f64 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))) (*.f64 x x)) (-.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))) (/.f64 (/.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) (*.f64 x (-.f64 1/2 y))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))))) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 2) 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x))) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) |
(+.f64 (+.f64 (fma.f64 -1 (*.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x)))))) x)) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))))) (/.f64 (pow.f64 (log.f64 2) 2) (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x)) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))))))) (/.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)) (*.f64 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)) -2/3)) (/.f64 (pow.f64 x 3) (exp.f64 (neg.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))) (*.f64 x x)) (-.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))) (/.f64 (/.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) (*.f64 x (-.f64 1/2 y))))) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)) -1) (pow.f64 x 3)) (exp.f64 (-.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (+.f64 y -1/2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2)) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) |
(fma.f64 -1 (*.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (-.f64 1/2 y)) (/.f64 (log.f64 2) x)) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))))) |
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (+.f64 y -1/2))))) (/.f64 (/.f64 (log.f64 2) (exp.f64 (-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x))))) (*.f64 x (-.f64 1/2 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2)) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 2) (pow.f64 x 2))))) |
(fma.f64 -1 (*.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (-.f64 1/2 y)) (/.f64 (log.f64 2) x)) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (*.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x))))) |
(-.f64 (fma.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (+.f64 y -1/2))))) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (+.f64 y -1/2)))))) (/.f64 (/.f64 (log.f64 2) (exp.f64 (-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x))))) (*.f64 x (-.f64 1/2 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (log.f64 2)) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 3))) (*.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 3)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (+.f64 1/2 (*.f64 -1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1 y)) 2) (pow.f64 x 2)))))) |
(fma.f64 -1 (*.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (-.f64 1/2 y)) (/.f64 (log.f64 2) x)) (fma.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)) (/.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 3)) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (*.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (+.f64 y -1/2))))) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (+.f64 y -1/2)))))) (*.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (+.f64 y -1/2))))) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)) 1))) (/.f64 (/.f64 (log.f64 2) (exp.f64 (-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x))))) (*.f64 x (-.f64 1/2 y)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))) |
(/.f64 1 (fma.f64 1/2 x (log.f64 2))) |
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(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) |
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (-.f64 (log.f64 2) (*.f64 x y))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (-.f64 (log.f64 2) (*.f64 y x))))) |
(+.f64 (-.f64 (log.f64 2) (*.f64 y x)) (log1p.f64 (expm1.f64 (*.f64 1/2 x)))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/2) (/.f64 2 (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 2 (pow.f64 (exp.f64 x) y)))) |
(+.f64 (-.f64 (log.f64 2) (*.f64 y x)) (log.f64 (sqrt.f64 (exp.f64 x)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (/.f64 2 (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (-.f64 (log.f64 2) (*.f64 y x))))) |
(+.f64 (-.f64 (log.f64 2) (*.f64 y x)) (log1p.f64 (expm1.f64 (*.f64 1/2 x)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (exp.f64 (*.f64 x (neg.f64 y))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (exp.f64 x) y))) |
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(log.f64 (*.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)) (/.f64 1 (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 2 (pow.f64 (exp.f64 x) y)))) |
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(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (exp.f64 x) y))) |
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(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))) |
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(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (exp.f64 x) y))) |
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(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (exp.f64 x) y))) |
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(log.f64 (*.f64 (exp.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (exp.f64 x) 1/2))) |
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (-.f64 (log.f64 2) (*.f64 y x))))) |
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (-.f64 (log.f64 2) (*.f64 y x))))) |
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(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1/2 x (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1/2 x (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 x 1/2 (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 x 1/2 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 x (neg.f64 y) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 1/2 x) 1 (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 1/2 x) 1 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (log.f64 2) 1 (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (*.f64 x (neg.f64 y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 y (neg.f64 x) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 1 (fma.f64 (neg.f64 x) y (*.f64 x y))) |
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(fma.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
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(fma.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))) |
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(fma.f64 1 (*.f64 1/2 x) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (*.f64 1/2 x) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
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(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
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(fma.f64 1 (*.f64 x (neg.f64 y)) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 1/2 x)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (neg.f64 (cbrt.f64 (*.f64 x y))) (fma.f64 1/2 x (log.f64 2))) |
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(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (-.f64 (*.f64 1/2 x) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (cbrt.f64 x)) (-.f64 (log.f64 2) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (cbrt.f64 x)) (-.f64 (log.f64 2) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))) |
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(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 x (neg.f64 y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (-.f64 (log.f64 2) (*.f64 x y))) |
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0 |
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(-.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))) (log.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))) |
(-.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 y x))))) (log.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 y x))))) |
(-.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) |
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(-.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2))) (log.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))) |
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 y x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 y x))))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2)) (neg.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))))) |
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(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))) |
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (exp.f64 x) y))) |
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(log.f64 (*.f64 (exp.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (exp.f64 x) 1/2))) |
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 2 (pow.f64 (exp.f64 x) y)))) |
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(log.f64 (*.f64 (exp.f64 (-.f64 (log.f64 2) (*.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 1/2 x))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (-.f64 (log.f64 2) (*.f64 y x))))) |
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(log.f64 (*.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)) (+.f64 1 (expm1.f64 (*.f64 1/2 x))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (-.f64 (log.f64 2) (*.f64 y x))))) |
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(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1/2 x (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1/2 x (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 x 1/2 (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 x 1/2 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 x (neg.f64 y) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 1/2 x) 1 (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 1/2 x) 1 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (log.f64 2) 1 (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
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(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
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(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 y (neg.f64 x) (fma.f64 1/2 x (log.f64 2))) |
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(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
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(fma.f64 1 (*.f64 1/2 x) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (*.f64 1/2 x) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
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(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
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(fma.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
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(fma.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))) |
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(fma.f64 1 (*.f64 x (neg.f64 y)) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 1 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 1/2 x)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (neg.f64 (cbrt.f64 (*.f64 x y))) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (neg.f64 (cbrt.f64 (*.f64 y x))) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (-.f64 (*.f64 1/2 x) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (cbrt.f64 x)) (-.f64 (log.f64 2) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (cbrt.f64 x)) (-.f64 (log.f64 2) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
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(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 x (neg.f64 y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (*.f64 x (neg.f64 y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
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(fma.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))) |
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(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (neg.f64 (sqrt.f64 (*.f64 y x))) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (-.f64 (*.f64 1/2 x) (*.f64 x y))) |
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(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(+.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 y x) 3))) (*.f64 0 (*.f64 y x))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(+.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 y x) 3))) (*.f64 0 (*.f64 y x))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (*.f64 y x))) |
(+.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 y x) 3))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (*.f64 y x))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 y x) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(+.f64 (/.f64 (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 y x) 2))) (*.f64 0 (*.f64 y x))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 y x) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(+.f64 (/.f64 (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 y x) 2))) (*.f64 0 (*.f64 y x))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))) |
(fma.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 y x) 2))) (fma.f64 x y (fma.f64 1/2 x (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (*.f64 y x))) |
(+.f64 (/.f64 (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 y x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (*.f64 y x))) |
(fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 (log.f64 2) (*.f64 y x))) |
(fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 (log.f64 2) (*.f64 y x))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (log.f64 2) (*.f64 x y))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (log.f64 2) (*.f64 y x))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (log.f64 2) (*.f64 y x))) |
(fma.f64 (*.f64 (neg.f64 x) 1) y (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(fma.f64 x (-.f64 1/2 y) (log.f64 2)) |
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (*.f64 x (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y) (fma.f64 1/2 x (log.f64 2))) |
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 1/2 x (log.f64 2))) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
Compiled 16 to 13 computations (18.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 728× | pow1_binary64 |
| 681× | add-log-exp_binary64 |
| 680× | log1p-expm1-u_binary64 |
| 680× | expm1-log1p-u_binary64 |
| 668× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 150 | 7 |
| 2 | 1870 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2)))))) |
| 1× | egg-herbie |
| 528× | fma-neg_binary64 |
| 429× | associate-/r*_binary64 |
| 412× | cancel-sign-sub-inv_binary64 |
| 394× | associate-*l*_binary64 |
| 351× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 674 |
| 1 | 233 | 587 |
| 2 | 730 | 481 |
| 3 | 4028 | 481 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(-.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2)))) |
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(*.f64 1 (fma.f64 1/2 x (log.f64 2))) |
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2)))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 x (log.f64 2)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x))) |
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) |
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) |
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) |
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) |
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) |
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 x 1/2 (log.f64 2)) |
(fma.f64 1 (*.f64 1/2 x) (log.f64 2)) |
(fma.f64 1 (log.f64 2) (*.f64 1/2 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2)) |
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x)) |
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2)) |
| Outputs |
|---|
(log.f64 2) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(-.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))) |
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2))) |
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(*.f64 1 (fma.f64 1/2 x (log.f64 2))) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4)))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))) |
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))) |
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 x (log.f64 2)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))) |
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))) |
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))) |
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2))) |
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 1/2 x (log.f64 2)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 x 1/2 (log.f64 2)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 1 (*.f64 1/2 x) (log.f64 2)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 1 (log.f64 2) (*.f64 1/2 x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2)) |
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0) |
(fma.f64 1/2 x (log.f64 2)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.1b | (exp.f64 (log.f64 (*.f64 1/2 x))) |
Compiled 27 to 22 computations (18.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (exp.f64 (log.f64 (*.f64 1/2 x))) |
| 0.0ms | x | @ | -inf | (exp.f64 (log.f64 (*.f64 1/2 x))) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (*.f64 1/2 x))) |
| 1× | batch-egg-rewrite |
| 431× | pow1_binary64 |
| 418× | add-sqr-sqrt_binary64 |
| 410× | *-un-lft-identity_binary64 |
| 399× | add-log-exp_binary64 |
| 399× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 105 | 4 |
| 2 | 1082 | 4 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (*.f64 1/2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (log.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 x))))))) |
| 1× | egg-herbie |
| 894× | log-prod_binary64 |
| 438× | associate-*l*_binary64 |
| 436× | fma-neg_binary64 |
| 395× | *-commutative_binary64 |
| 385× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 229 |
| 1 | 149 | 222 |
| 2 | 443 | 210 |
| 3 | 3110 | 210 |
| 4 | 6167 | 210 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(+.f64 1 (fma.f64 1/2 x -1)) |
(+.f64 0 (*.f64 1/2 x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x)))) |
(-.f64 (+.f64 1 (*.f64 1/2 x)) 1) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(*.f64 (*.f64 1/2 x) 1) |
(*.f64 1 (*.f64 1/2 x)) |
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 1/2 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2)) |
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (*.f64 1/2 x) 1) |
(pow.f64 (pow.f64 (*.f64 1/2 x) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 1/2 x)) 2) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (log.f64 (*.f64 1/2 x)))) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 1/2 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 x)))) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/4)) |
(log.f64 (pow.f64 (exp.f64 1/2) x)) |
(cbrt.f64 (pow.f64 (*.f64 1/2 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 x))) |
(log1p.f64 (expm1.f64 (*.f64 1/2 x))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(+.f64 1 (fma.f64 1/2 x -1)) |
(*.f64 1/2 x) |
(+.f64 0 (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))) |
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x))) 3) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x)))) |
(*.f64 1/2 x) |
(-.f64 (+.f64 1 (*.f64 1/2 x)) 1) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 x) 1) |
(*.f64 1/2 x) |
(*.f64 1 (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4))) |
(*.f64 1/2 x) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 1/2 x))) |
(*.f64 1/2 x) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2)) |
(*.f64 1/2 x) |
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x))) |
(*.f64 1/2 x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2)) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 1/2 x) |
(pow.f64 (*.f64 1/2 x) 1) |
(*.f64 1/2 x) |
(pow.f64 (pow.f64 (*.f64 1/2 x) 3) 1/3) |
(*.f64 1/2 x) |
(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) |
(*.f64 1/2 x) |
(pow.f64 (sqrt.f64 (*.f64 1/2 x)) 2) |
(*.f64 1/2 x) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x)))) (sqrt.f64 (log.f64 (*.f64 1/2 x)))) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 1/2 x))) |
(pow.f64 (E.f64) (log.f64 (*.f64 1/2 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 x)))) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/4)) |
(*.f64 1/2 x) |
(log.f64 (pow.f64 (exp.f64 1/2) x)) |
(*.f64 1/2 x) |
(cbrt.f64 (pow.f64 (*.f64 1/2 x) 3)) |
(*.f64 1/2 x) |
(expm1.f64 (log1p.f64 (*.f64 1/2 x))) |
(*.f64 1/2 x) |
(log1p.f64 (expm1.f64 (*.f64 1/2 x))) |
(*.f64 1/2 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1/2 y) x) | |
| ✓ | 0.0b | (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
| ✓ | 0.1b | (pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2) |
| ✓ | 0.7b | (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
Compiled 61 to 46 computations (24.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
| 2.0ms | y | @ | inf | (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
| 2.0ms | y | @ | 0 | (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
| 1.0ms | y | @ | -inf | (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
| 1.0ms | x | @ | inf | (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
| 1× | batch-egg-rewrite |
| 913× | pow1_binary64 |
| 849× | add-log-exp_binary64 |
| 848× | log1p-expm1-u_binary64 |
| 848× | expm1-log1p-u_binary64 |
| 832× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 231 | 27 |
| 2 | 2288 | 27 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2) |
(sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) (*.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4)) (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))) (*.f64 (log.f64 x) (log.f64 x))) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))))) |
| 1× | egg-herbie |
| 650× | unswap-sqr_binary64 |
| 327× | times-frac_binary64 |
| 283× | fma-def_binary64 |
| 212× | associate-*l*_binary64 |
| 208× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 389 | 3981 |
| 1 | 1118 | 3518 |
| 2 | 4194 | 3164 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (+.f64 2 (*.f64 -1 (+.f64 2 (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2))))) x))) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 (+.f64 (*.f64 -2 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (*.f64 -1 (+.f64 2 (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2))))) (+.f64 (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2)) (+.f64 (*.f64 2 (/.f64 1 (log.f64 (*.f64 1/2 x)))) (*.f64 -1 (+.f64 8/3 (+.f64 (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2)) (*.f64 2 (/.f64 1 (log.f64 (*.f64 1/2 x)))))))))) 4/3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (+.f64 2 (*.f64 -1 (+.f64 2 (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2))))) x))) (*.f64 -1 (*.f64 y x))))) |
(exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) y))) |
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) y)) (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1/8 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) 2))) (*.f64 1/16 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))))) (pow.f64 y 2)))) |
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(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) |
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) |
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y)) |
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 1/2 y) x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) |
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)) |
(+.f64 0 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) |
(+.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))) |
(-.f64 (+.f64 1 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1) |
(*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(*.f64 1 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(*.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) (*.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4)) (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))) (*.f64 (log.f64 x) (log.f64 x))) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))) |
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 2)) |
(log.f64 (*.f64 (-.f64 1/2 y) x)) |
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(log1p.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) 1)) |
(exp.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(-.f64 (+.f64 1 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1) |
(*.f64 1 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(*.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/2)) |
(pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/2) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) 2) |
(fabs.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))) |
(*.f64 x (-.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (+.f64 2 (*.f64 -1 (+.f64 2 (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2))))) x))) (*.f64 -1 (*.f64 y x)))) |
(fma.f64 1/2 x (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 x (+.f64 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) 2) (neg.f64 (+.f64 2 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2)))))) (*.f64 x (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 y y) (*.f64 x (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (+.f64 0 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2))))))) (*.f64 x (-.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) (*.f64 x (*.f64 y y)))) (*.f64 x (-.f64 1/2 y))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 (+.f64 (*.f64 -2 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (*.f64 -1 (+.f64 2 (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2))))) (+.f64 (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2)) (+.f64 (*.f64 2 (/.f64 1 (log.f64 (*.f64 1/2 x)))) (*.f64 -1 (+.f64 8/3 (+.f64 (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2)) (*.f64 2 (/.f64 1 (log.f64 (*.f64 1/2 x)))))))))) 4/3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (+.f64 2 (*.f64 -1 (+.f64 2 (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2))))) x))) (*.f64 -1 (*.f64 y x))))) |
(fma.f64 1/2 x (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (fma.f64 -2 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (neg.f64 (+.f64 2 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2)))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2)) (/.f64 2 (log.f64 (*.f64 1/2 x)))) (neg.f64 (+.f64 (+.f64 8/3 (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2))) (/.f64 2 (log.f64 (*.f64 1/2 x))))))) -4/3)) x) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 x (+.f64 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) 2) (neg.f64 (+.f64 2 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2)))))) (*.f64 x (neg.f64 y))))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 x (*.f64 (pow.f64 y 3) (+.f64 (fma.f64 -2 (-.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (+.f64 2 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2))) (+.f64 (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2)) (-.f64 (/.f64 2 (log.f64 (*.f64 1/2 x))) (+.f64 (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2)) (+.f64 (/.f64 2 (log.f64 (*.f64 1/2 x))) 8/3))))) -4/3))) (*.f64 (*.f64 y y) (*.f64 x (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (+.f64 0 (neg.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) 2)))))))) (*.f64 x (-.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 x (*.f64 (pow.f64 y 3) (+.f64 (+.f64 (-.f64 (/.f64 2 (log.f64 (*.f64 1/2 x))) (+.f64 (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2)) (+.f64 (/.f64 2 (log.f64 (*.f64 1/2 x))) 8/3))) (fma.f64 -2 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (-.f64 -2 (/.f64 1 (log.f64 (*.f64 1/2 x))))) (/.f64 1 (pow.f64 (log.f64 (*.f64 1/2 x)) 2)))) -4/3))) (*.f64 (+.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))) (neg.f64 (/.f64 1 (log.f64 (*.f64 1/2 x))))) (*.f64 x (*.f64 y y))))) (*.f64 x (-.f64 1/2 y))) |
(exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) |
(*.f64 (neg.f64 x) (exp.f64 (log.f64 y))) |
(*.f64 x (neg.f64 y)) |
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) y))) |
(+.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) y))) |
(fma.f64 (neg.f64 x) (exp.f64 (log.f64 y)) (/.f64 (*.f64 (*.f64 -1/2 (neg.f64 x)) (exp.f64 (log.f64 y))) y)) |
(fma.f64 -1/2 (/.f64 (*.f64 x (neg.f64 y)) y) (*.f64 x (neg.f64 y))) |
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) y)) (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1/8 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) 2))) (*.f64 1/16 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))))) (pow.f64 y 2)))) |
(+.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (fma.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) y) (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (*.f64 y y) (+.f64 1/8 (fma.f64 -1 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))))) 2)) (/.f64 1/16 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))))))))) |
(fma.f64 (neg.f64 x) (exp.f64 (log.f64 y)) (fma.f64 -1/2 (/.f64 (*.f64 (neg.f64 x) (exp.f64 (log.f64 y))) y) (*.f64 (/.f64 (*.f64 (neg.f64 x) (exp.f64 (log.f64 y))) y) (/.f64 (+.f64 (/.f64 1/16 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (+.f64 0 (neg.f64 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))))) 2)))) y)))) |
(fma.f64 (neg.f64 x) y (fma.f64 -1/2 (/.f64 (*.f64 x (neg.f64 y)) y) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (+.f64 (/.f64 1/16 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (neg.f64 (/.f64 1/16 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))))) y)))) |
(+.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) 2))) (*.f64 1/16 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) 2)) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 -1 (+.f64 1/24 (*.f64 1/4 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) 2)) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))))) 1/48)) (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) y)) (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1/8 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) 2))) (*.f64 1/16 (/.f64 1 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))))) (pow.f64 y 2))))) |
(+.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (+.f64 (fma.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) y) (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (*.f64 y y) (+.f64 1/8 (fma.f64 -1 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))))) 2)) (/.f64 1/16 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y)))))))))) (/.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (pow.f64 y 3) (+.f64 (fma.f64 -1/2 (fma.f64 -1 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))))) 2)) (/.f64 1/16 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y)))))) (fma.f64 1/4 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))))) 2)) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (neg.f64 (+.f64 (/.f64 (*.f64 1/4 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))))) 2))) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) 1/24)))) -1/48))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (neg.f64 x) (exp.f64 (log.f64 y))) y) (*.f64 (/.f64 (*.f64 (neg.f64 x) (exp.f64 (log.f64 y))) y) (/.f64 (+.f64 (/.f64 1/16 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (+.f64 0 (neg.f64 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))))) 2)))) y))) (fma.f64 (neg.f64 x) (exp.f64 (log.f64 y)) (*.f64 (/.f64 (*.f64 (neg.f64 x) (exp.f64 (log.f64 y))) (pow.f64 y 3)) (+.f64 (-.f64 (fma.f64 -1/2 (-.f64 (/.f64 1/16 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))))) 2))) (*.f64 1/4 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))))) 2)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))))) (fma.f64 1/4 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))))) 2)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) 1/24)) -1/48)))) |
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(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 0 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(+.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(-.f64 (+.f64 1 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(*.f64 1 (log.f64 (*.f64 (-.f64 1/2 y) x))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (*.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 4)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(*.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) (*.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4)) (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (*.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 4)) |
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))) (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y))) (*.f64 (log.f64 x) (log.f64 x))) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))) |
(/.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))) |
(/.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))) |
(/.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1) |
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 2)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(log.f64 (*.f64 (-.f64 1/2 y) x)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3)) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(log1p.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) 1)) |
(log1p.f64 (fma.f64 (-.f64 1/2 y) x -1)) |
(log1p.f64 (fma.f64 x (-.f64 1/2 y) -1)) |
(exp.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(log.f64 (*.f64 x (-.f64 1/2 y))) |
(-.f64 (+.f64 1 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(*.f64 1 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) |
(*.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4)) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) |
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) |
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))) |
(pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/2) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 3) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/4) 2) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(fabs.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3/2)) |
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) |
(sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) |
Compiled 32324 to 23840 computations (26.2% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 949 | 5 | 954 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 6 | 8 |
| Total | 952 | 14 | 966 |
| Status | Error | Program |
|---|---|---|
| 20.5b | (/.f64 1 (exp.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) 3)))) | |
| 28.6b | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))))) | |
| 27.8b | (/.f64 1 (exp.f64 (neg.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) | |
| 55.8b | (/.f64 1 1) | |
| ✓ | 8.3b | (-.f64 (log.f64 2) (*.f64 x y)) |
| 8.4b | (+.f64 (/.f64 x (/.f64 -1 y)) (log.f64 2)) | |
| 13.2b | (+.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) 1)) (log.f64 2)) | |
| ✓ | 27.9b | (+.f64 (*.f64 1/2 x) (log.f64 2)) |
| 64.0b | (+.f64 (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (log.f64 2)) | |
| ✓ | 45.9b | (+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2)) |
| ✓ | 34.7b | (*.f64 x (neg.f64 y)) |
| ✓ | 61.7b | (*.f64 1/2 x) |
| 27.8b | (log1p.f64 (exp.f64 x)) | |
| ✓ | 28.2b | (log.f64 2) |
Compiled 130 to 112 computations (13.8% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(/.f64 1 1) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 1 (/.f64 -1 (*.f64 y x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (/.f64 x (/.f64 -1 y)) (log.f64 2)) |
(+.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) 1)) (log.f64 2)) |
(log1p.f64 (exp.f64 x)) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(fma.f64 (-.f64 1/2 y) x (log.f64 2)) |
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2)) |
(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2)) |
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))))) |
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)))))) |
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) |
(/.f64 1 (exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) |
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 1/2 x))) 2)) (log.f64 2)) |
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (log.f64 2)) |
(/.f64 1 (exp.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) 3)))) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
3 calls:
| 20.0ms | y |
| 14.0ms | x |
| 8.0ms | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | y |
| 0.3b | 1 | (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) |
Compiled 250 to 173 computations (30.8% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(/.f64 1 1) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 1 (/.f64 -1 (*.f64 y x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
(+.f64 (/.f64 x (/.f64 -1 y)) (log.f64 2)) |
(+.f64 (+.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) 1)) (log.f64 2)) |
(log1p.f64 (exp.f64 x)) |
(fma.f64 x (neg.f64 y) (log.f64 2)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) |
2 calls:
| 29.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 2 | x |
| 7.2b | 3 | y |
Compiled 81 to 59 computations (27.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | -2109.8003567953638 | -0.016718139788646506 |
| 16.0ms | 144× | body | 256 | valid |
Compiled 178 to 138 computations (22.5% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(/.f64 1 1) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 1 (/.f64 -1 (*.f64 y x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(-.f64 (log.f64 2) (*.f64 x y)) |
2 calls:
| 14.0ms | y |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 2 | x |
| 7.2b | 3 | y |
Compiled 44 to 32 computations (27.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -2109.8003567953638 | -0.016718139788646506 |
| 18.0ms | 144× | body | 256 | valid |
Compiled 160 to 120 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(/.f64 1 1) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 1 (/.f64 -1 (*.f64 y x))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 x) (log.f64 2)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(log.f64 2) |
(*.f64 (-.f64 1/2 y) x) |
2 calls:
| 62.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.7b | 3 | x |
| 17.7b | 9 | y |
Compiled 38 to 28 computations (26.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 3.458926929755269e-40 | 7.521972370942341e-27 |
| 10.0ms | -7.290341952913462e-21 | -2.6060893125237117e-21 |
| 45.0ms | 240× | body | 256 | valid |
Compiled 206 to 172 computations (16.5% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(/.f64 1 1) |
(*.f64 x (neg.f64 y)) |
(*.f64 (-.f64 1/2 y) x) |
(/.f64 1 (/.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(/.f64 1 1) |
(*.f64 (-.f64 1/2 y) x) |
2 calls:
| 15.0ms | y |
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.9b | 3 | x |
| 34.7b | 1 | y |
Compiled 30 to 21 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 7.599665114611072e-160 | 4.2315283319235254e-159 |
| 17.0ms | -5.2994711202150125e-167 | -3.6170601737438773e-174 |
| 38.0ms | 240× | body | 256 | valid |
Compiled 217 to 183 computations (15.7% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(/.f64 1 1) |
(*.f64 x (neg.f64 y)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(/.f64 1 1) |
(*.f64 x (neg.f64 y)) |
2 calls:
| 11.0ms | x |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 32.1b | 3 | x |
| 34.7b | 1 | y |
Compiled 18 to 13 computations (27.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.599665114611072e-160 | 4.2315283319235254e-159 |
| 17.0ms | -5.2994711202150125e-167 | -3.6170601737438773e-174 |
| 27.0ms | 240× | body | 256 | valid |
Compiled 211 to 177 computations (16.1% saved)
Total -6.3b remaining (-11.3%)
Threshold costs -6.3b (-11.3%)
| Inputs |
|---|
(*.f64 1/2 x) |
(/.f64 1 1) |
| Outputs |
|---|
(/.f64 1 1) |
2 calls:
| 29.0ms | x |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 55.8b | 1 | x |
| 55.8b | 1 | y |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 7× | *-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 140 |
| 1 | 64 | 140 |
| 2 | 74 | 140 |
| 3 | 79 | 140 |
| 4 | 81 | 140 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(if (<=.f64 x -1553741871442821/1125899906842624) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(if (<=.f64 x -26) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y))) |
(if (<=.f64 x -2924301590726815/664613997892457936451903530140172288) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6913231011544493/44601490397061246283071436545296723011960832) (log.f64 2) (*.f64 (-.f64 1/2 y) x))) |
(if (<=.f64 x -3569247311728675/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2770100496498771/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 1 1) (*.f64 (-.f64 1/2 y) x))) |
(if (<=.f64 x -3063162035757089/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608) (*.f64 x (neg.f64 y)) (if (<=.f64 x 7123115562425411/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (/.f64 1 1) (*.f64 x (neg.f64 y)))) |
(/.f64 1 1) |
(*.f64 1/2 x) |
| Outputs |
|---|
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(if (<=.f64 x -1553741871442821/1125899906842624) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) |
(if (<=.f64 x -1553741871442821/1125899906842624) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) |
(if (<=.f64 x -1553741871442821/1125899906842624) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) |
(if (<=.f64 x -26) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y))) |
(if (<=.f64 x -26) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y))) |
(if (<=.f64 x -2924301590726815/664613997892457936451903530140172288) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6913231011544493/44601490397061246283071436545296723011960832) (log.f64 2) (*.f64 (-.f64 1/2 y) x))) |
(if (<=.f64 x -2924301590726815/664613997892457936451903530140172288) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6913231011544493/44601490397061246283071436545296723011960832) (log.f64 2) (*.f64 x (-.f64 1/2 y)))) |
(if (<=.f64 x -2924301590726815/664613997892457936451903530140172288) (*.f64 y (neg.f64 x)) (if (<=.f64 x 6913231011544493/44601490397061246283071436545296723011960832) (log.f64 2) (*.f64 x (-.f64 1/2 y)))) |
(if (<=.f64 x -3569247311728675/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2770100496498771/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) (/.f64 1 1) (*.f64 (-.f64 1/2 y) x))) |
(if (<=.f64 x -3569247311728675/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2770100496498771/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) 1 (*.f64 x (-.f64 1/2 y)))) |
(if (<=.f64 x -3569247311728675/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2770100496498771/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544) 1 (*.f64 x (-.f64 1/2 y)))) |
(if (<=.f64 x -3063162035757089/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608) (*.f64 x (neg.f64 y)) (if (<=.f64 x 7123115562425411/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (/.f64 1 1) (*.f64 x (neg.f64 y)))) |
(if (<=.f64 x -3063162035757089/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608) (*.f64 x (neg.f64 y)) (if (<=.f64 x 7123115562425411/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) 1 (*.f64 x (neg.f64 y)))) |
(if (<=.f64 x -3063162035757089/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7123115562425411/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) 1 (*.f64 y (neg.f64 x)))) |
(/.f64 1 1) |
1 |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
Compiled 111 to 77 computations (30.6% saved)
| 1× | egg-herbie |
| 479× | fma-def_binary64 |
| 369× | times-frac_binary64 |
| 368× | associate-*l*_binary64 |
| 315× | associate-/l*_binary64 |
| 289× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 19 | 11 |
| 2 | 30 | 11 |
| 3 | 47 | 11 |
| 4 | 66 | 11 |
| 5 | 100 | 11 |
| 6 | 154 | 11 |
| 7 | 206 | 11 |
| 8 | 275 | 11 |
| 9 | 354 | 11 |
| 10 | 416 | 11 |
| 11 | 442 | 11 |
| 12 | 521 | 11 |
| 13 | 749 | 11 |
| 14 | 1685 | 11 |
| 15 | 4925 | 11 |
| 16 | 6027 | 11 |
| 17 | 7666 | 11 |
| 1× | node limit |
Compiled 20 to 14 computations (30% saved)
Compiled 97 to 54 computations (44.3% saved)
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