Time bar (total: 12.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 3 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 4 |
| 6.3% | 3.1% | 46.8% | 50% | 0% | 0% | 0% | 5 |
| 9.4% | 4.7% | 45.3% | 50% | 0% | 0% | 0% | 6 |
| 10.9% | 5.5% | 44.5% | 50% | 0% | 0% | 0% | 7 |
| 11.7% | 5.9% | 44.1% | 50% | 0% | 0% | 0% | 8 |
| 12.1% | 6% | 43.9% | 50% | 0% | 0% | 0% | 9 |
| 12.3% | 6.1% | 43.8% | 50% | 0% | 0% | 0% | 10 |
| 12.4% | 6.2% | 43.8% | 50% | 0% | 0% | 0% | 11 |
| 12.5% | 6.2% | 43.7% | 50% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 4.4s | 4103× | body | 1024 | valid |
| 1.0s | 2086× | body | 512 | valid |
| 501.0ms | 383× | body | 2048 | valid |
| 409.0ms | 1684× | body | 256 | valid |
| 2× | egg-herbie |
| 8× | sub-neg_binary64 |
| 6× | fma-def_binary64 |
| 5× | +-commutative_binary64 |
| 4× | associate-+l-_binary64 |
| 3× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 14 | 10 |
| 2 | 19 | 10 |
| 3 | 25 | 10 |
| 4 | 33 | 10 |
| 5 | 43 | 10 |
| 6 | 57 | 10 |
| 7 | 73 | 10 |
| 8 | 77 | 10 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 8× | sub-neg_binary64 |
| 6× | fma-def_binary64 |
| 5× | +-commutative_binary64 |
| 4× | associate-+l-_binary64 |
| 3× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 14 | 10 |
| 2 | 19 | 10 |
| 3 | 25 | 10 |
| 4 | 33 | 10 |
| 5 | 43 | 10 |
| 6 | 57 | 10 |
| 7 | 73 | 10 |
| 8 | 77 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
Compiled 16 to 12 computations (25% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 60.1b | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
Compiled 17 to 13 computations (23.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| ✓ | 4.8b | (log.f64 (-.f64 1 x)) |
| ✓ | 4.8b | (log.f64 (+.f64 1 x)) |
Compiled 26 to 19 computations (26.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| 2.0ms | x | @ | inf | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| 1.0ms | x | @ | inf | (log.f64 (+.f64 1 x)) |
| 1.0ms | x | @ | 0 | (log.f64 (+.f64 1 x)) |
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 878× | pow1_binary64 |
| 815× | add-log-exp_binary64 |
| 815× | log1p-expm1-u_binary64 |
| 815× | expm1-log1p-u_binary64 |
| 800× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 167 | 18 |
| 2 | 2184 | 18 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 x)) |
(log.f64 (-.f64 1 x)) |
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (log.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (neg.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 719× | fma-def_binary64 |
| 544× | associate-/r*_binary64 |
| 338× | associate--r+_binary64 |
| 321× | times-frac_binary64 |
| 244× | associate-+l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1636 |
| 1 | 559 | 1496 |
| 2 | 1946 | 1399 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
(*.f64 -1 (log.f64 (/.f64 -1 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3)))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) |
(fma.f64 -1/2 (*.f64 x x) x) |
(fma.f64 x (*.f64 x -1/2) x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x)) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x)) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x))) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (log.f64 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))) |
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 1/2 x) x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (log.f64 -1))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 1/2 x) x))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (+.f64 (*.f64 -1/2 x) -1)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/3)) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4))))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/4 (pow.f64 x 4))))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -1/3 (-.f64 (*.f64 -1/4 (pow.f64 x 4)) x))) |
(fma.f64 x (*.f64 x -1/2) (-.f64 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 -1/4 (pow.f64 x 4))) x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) |
(+.f64 (log.f64 x) (log.f64 -1)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1 x)) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (/.f64 1 x))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (-.f64 (/.f64 -1 x) (/.f64 (/.f64 1/2 x) x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3)))))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 -1) (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3))))) |
(*.f64 -1 (log.f64 (/.f64 -1 x))) |
(neg.f64 (log.f64 (/.f64 -1 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x)) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) |
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 (/.f64 1/2 x) x)) |
(-.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 1/2 x) x)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (-.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 1/3 (pow.f64 x 3))) (/.f64 -1/2 (*.f64 x x))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)) |
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 3) -5/12))) -1) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 (fma.f64 (pow.f64 x 3) -5/12 (neg.f64 x)) -1)) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) -5/12 (-.f64 -1 x))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) |
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (log.f64 x) (log.f64 -1))) (neg.f64 (log.f64 x))) |
(*.f64 (/.f64 1 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))) |
(-.f64 (-.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) x) (*.f64 (log.f64 x) (log.f64 x)))) |
(-.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 (log.f64 -1) x) (*.f64 (log.f64 x) (log.f64 x))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) |
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(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) (*.f64 x x)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
Compiled 15 to 5 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| 1× | batch-egg-rewrite |
| 435× | pow1_binary64 |
| 418× | add-sqr-sqrt_binary64 |
| 412× | *-un-lft-identity_binary64 |
| 402× | add-log-exp_binary64 |
| 402× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 124 | 8 |
| 2 | 1717 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 536× | associate-/r*_binary64 |
| 450× | fma-def_binary64 |
| 313× | times-frac_binary64 |
| 287× | associate-+l+_binary64 |
| 287× | associate--r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 1206 |
| 1 | 411 | 1099 |
| 2 | 1481 | 1006 |
| 3 | 7806 | 1006 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3)))))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)) -1)) |
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) |
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x))) |
(*.f64 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x)) |
(-.f64 (-.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x)) |
(-.f64 (-.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (/.f64 (log.f64 -1) (*.f64 x (*.f64 (log.f64 x) (log.f64 x))))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))))) (+.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x)) (*.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2)))))) |
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x)) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))))))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1/2 (log.f64 x)) (*.f64 x x)) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (+.f64 (-.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 x (*.f64 x (*.f64 (log.f64 x) (log.f64 x))))) (/.f64 (log.f64 -1) (*.f64 x (*.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))))))) |
(+.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (-.f64 (+.f64 (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 1/3 (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 1/3 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (neg.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 x)))))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x)))))))) |
(+.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 (/.f64 1/3 (pow.f64 x 3)) (neg.f64 (log.f64 x))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (pow.f64 x 3) (*.f64 (log.f64 x) (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x)))) (-.f64 (-.f64 (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))))) (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (-.f64 (/.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (log.f64 x))) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (neg.f64 (log.f64 x))))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))))))) |
(-.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (/.f64 (/.f64 -1/2 (log.f64 x)) (*.f64 x x))) (-.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 3)) (*.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))) (/.f64 (log.f64 -1) (*.f64 x (*.f64 (log.f64 x) (log.f64 x))))) (*.f64 (/.f64 1 (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 -2 (log.f64 x)) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))))) (pow.f64 x 3))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))) |
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x))) |
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x)))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x))) |
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) (*.f64 x x)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3)))))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 x x)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x) (/.f64 (-.f64 (/.f64 1/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))) (pow.f64 x 3)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) (*.f64 x x)))) |
Compiled 5086 to 3676 computations (27.7% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 188 | 6 | 194 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 189 | 7 | 196 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 0.4b | (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
| ▶ | 0.2b | (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
| ▶ | 0.3b | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| ▶ | 0.6b | (-.f64 -1 x) |
| 2.0b | -1 | |
| ▶ | 61.2b | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
Compiled 123 to 91 computations (26% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
| ✓ | 0.0b | (*.f64 -1/2 (pow.f64 x 2)) |
| ✓ | 0.1b | (*.f64 -5/12 (pow.f64 x 3)) |
Compiled 68 to 54 computations (20.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 -5/12 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (*.f64 -5/12 (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (*.f64 -5/12 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (*.f64 -1/2 (pow.f64 x 2)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
| 1× | batch-egg-rewrite |
| 647× | fma-def_binary64 |
| 558× | log-prod_binary64 |
| 342× | fma-neg_binary64 |
| 324× | pow2_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 313 | 29 |
| 2 | 3985 | 29 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -5/12 (pow.f64 x 3)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
| Outputs |
|---|
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(pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -5/12)) (cbrt.f64 (*.f64 25/144 (pow.f64 x 6))) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 25/144 (pow.f64 x 6))) (*.f64 x (cbrt.f64 -5/12)) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (*.f64 x (*.f64 x 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x 3/2)) (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2)) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (fma.f64 25/144 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -5/12)))) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -5/12) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (*.f64 x -1/2) x) 1 (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2))) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 x) (*.f64 x x) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 (*.f64 x x)) x (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 x) x (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) x)))))) |
| 1× | egg-herbie |
| 743× | distribute-rgt-neg-in_binary64 |
| 641× | distribute-lft-neg-in_binary64 |
| 618× | fma-neg_binary64 |
| 536× | unswap-sqr_binary64 |
| 527× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 89 |
| 1 | 41 | 89 |
| 2 | 87 | 85 |
| 3 | 249 | 75 |
| 4 | 779 | 71 |
| 5 | 3143 | 71 |
| 6 | 7094 | 71 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x))) |
(*.f64 -5/12 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))) |
(*.f64 -5/12 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 -1/2 (*.f64 x x)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) x) |
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) x) |
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) |
(*.f64 -5/12 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3))) |
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) |
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) |
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) |
(*.f64 -5/12 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3))) |
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) |
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) |
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
Compiled 21 to 14 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| 1.0ms | x | @ | inf | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| 1.0ms | x | @ | 0 | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| 1× | batch-egg-rewrite |
| 774× | pow1_binary64 |
| 721× | add-log-exp_binary64 |
| 721× | log1p-expm1-u_binary64 |
| 721× | expm1-log1p-u_binary64 |
| 707× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 148 | 11 |
| 2 | 1890 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)))) (#(struct:change #<rule egg-rr> 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(*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 1352× | fma-def_binary64 |
| 597× | fma-neg_binary64 |
| 378× | distribute-rgt-neg-in_binary64 |
| 286× | unsub-neg_binary64 |
| 273× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 118 |
| 1 | 28 | 112 |
| 2 | 54 | 105 |
| 3 | 131 | 89 |
| 4 | 350 | 89 |
| 5 | 1025 | 89 |
| 6 | 2389 | 89 |
| 7 | 4360 | 89 |
| 8 | 5359 | 89 |
| 9 | 6309 | 89 |
| 10 | 6684 | 89 |
| 11 | 7120 | 89 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 -1 x) |
(+.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(*.f64 x (fma.f64 x 1/2 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(*.f64 x (fma.f64 x 1/2 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
Compiled 18 to 12 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
| 1.0ms | x | @ | inf | (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
| 1.0ms | x | @ | -inf | (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 741× | pow1_binary64 |
| 689× | add-log-exp_binary64 |
| 689× | log1p-expm1-u_binary64 |
| 689× | expm1-log1p-u_binary64 |
| 677× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 148 | 11 |
| 2 | 1802 | 11 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))))) |
| 1× | egg-herbie |
| 1352× | fma-def_binary64 |
| 597× | fma-neg_binary64 |
| 378× | distribute-rgt-neg-in_binary64 |
| 286× | unsub-neg_binary64 |
| 273× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 118 |
| 1 | 28 | 112 |
| 2 | 54 | 105 |
| 3 | 131 | 89 |
| 4 | 350 | 89 |
| 5 | 1025 | 89 |
| 6 | 2389 | 89 |
| 7 | 4360 | 89 |
| 8 | 5359 | 89 |
| 9 | 6309 | 89 |
| 10 | 6684 | 89 |
| 11 | 7120 | 89 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 -1 x) |
(+.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(*.f64 x (fma.f64 x 1/2 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(*.f64 x (fma.f64 x 1/2 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
| ✓ | 0.0b | (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) |
| ✓ | 0.3b | (*.f64 -1/3 x) |
| 4.8b | (log.f64 (+.f64 1 x)) |
Compiled 59 to 37 computations (37.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
| 2.0ms | x | @ | inf | (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) |
| 2.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
| 1.0ms | x | @ | 0 | (*.f64 -1/3 x) |
| 1.0ms | x | @ | inf | (*.f64 -1/3 x) |
| 1× | batch-egg-rewrite |
| 730× | log-prod_binary64 |
| 670× | fma-def_binary64 |
| 329× | fma-neg_binary64 |
| 259× | expm1-udef_binary64 |
| 258× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 38 |
| 1 | 299 | 34 |
| 2 | 4340 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 x) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
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(/.f64 (fma.f64 -1/3 x -1/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -1/3 x -1/2) 2))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2)))) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (fma.f64 -1/3 x -1/2)) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (log1p.f64 x))) (/.f64 (fma.f64 -1/3 x -1/2) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -1/3 x -1/2) (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -1/3 x -1/2) 2))) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2)))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 711× | times-frac_binary64 |
| 518× | fma-neg_binary64 |
| 371× | distribute-rgt-in_binary64 |
| 341× | distribute-lft-in_binary64 |
| 272× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 896 |
| 1 | 256 | 886 |
| 2 | 783 | 814 |
| 3 | 3698 | 629 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 -1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 -1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) |
(+.f64 (*.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (log.f64 (/.f64 1 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))))) |
(*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3)))) |
(*.f64 -1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3)))) |
(*.f64 -1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3)))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)) |
(-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1) |
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))) |
(fma.f64 (pow.f64 x 3) -1/6 (-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x)) |
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) |
(*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3))) |
(+.f64 (*.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))) |
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x))))))) |
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) |
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (fma.f64 x (*.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))) |
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(-.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) (/.f64 1/9 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (neg.f64 (log.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))))) |
(-.f64 (+.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) (/.f64 1/9 (*.f64 (log.f64 x) (log.f64 x)))) (-.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))) (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (neg.f64 (log.f64 x))))) |
(+.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (fma.f64 x (*.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))) (+.f64 (-.f64 (/.f64 (/.f64 1/9 (log.f64 x)) (log.f64 x)) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (log.f64 x)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (neg.f64 (log.f64 x))))) |
(-.f64 (+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (/.f64 1/9 (pow.f64 (log.f64 x) 2))) (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (-.f64 (*.f64 x x) (/.f64 -1/2 (log.f64 x))))) (*.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1/3 (pow.f64 (log.f64 x) 3))) (-.f64 (/.f64 -1 (log.f64 x)) (/.f64 1/6 (pow.f64 (log.f64 x) 2)))) (-.f64 (/.f64 1 (log.f64 x)) x))) |
(*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) |
(*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)) |
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x))))))) |
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) |
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (fma.f64 x (*.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))) |
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (*.f64 x (+.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1/3 (pow.f64 (log.f64 x) 3))) (-.f64 (/.f64 -1 (log.f64 x)) (/.f64 1/6 (pow.f64 (log.f64 x) 2)))) (*.f64 x (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))))))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) (/.f64 1/9 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (neg.f64 (log.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))))) |
(-.f64 (+.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) (/.f64 1/9 (*.f64 (log.f64 x) (log.f64 x)))) (-.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))) (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (neg.f64 (log.f64 x))))) |
(+.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (fma.f64 x (*.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))) (+.f64 (-.f64 (/.f64 (/.f64 1/9 (log.f64 x)) (log.f64 x)) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (log.f64 x)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (neg.f64 (log.f64 x))))) |
(-.f64 (+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (/.f64 1/9 (pow.f64 (log.f64 x) 2))) (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (-.f64 (*.f64 x x) (/.f64 -1/2 (log.f64 x))))) (*.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1/3 (pow.f64 (log.f64 x) 3))) (-.f64 (/.f64 -1 (log.f64 x)) (/.f64 1/6 (pow.f64 (log.f64 x) 2)))) (-.f64 (/.f64 1 (log.f64 x)) x))) |
Compiled 8854 to 6133 computations (30.7% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 415 | 5 | 420 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 2 | 5 |
| Total | 418 | 9 | 427 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
| ▶ | 0.3b | (-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
| ▶ | 0.4b | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
| ✓ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 0.4b | (+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
| ✓ | 0.6b | (-.f64 -1 x) |
| 2.0b | -1 | |
| ✓ | 61.2b | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
| ▶ | 0.3b | (-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
Compiled 166 to 120 computations (27.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
| 0.1b | (*.f64 -5/12 (pow.f64 x 3)) |
Compiled 79 to 60 computations (24.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
| 0.0ms | x | @ | inf | (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
| 0.0ms | x | @ | -inf | (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
| 1× | batch-egg-rewrite |
| 805× | fma-def_binary64 |
| 587× | log-prod_binary64 |
| 395× | fma-neg_binary64 |
| 220× | expm1-udef_binary64 |
| 220× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 20 |
| 1 | 343 | 15 |
| 2 | 4517 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 -1/2 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 1/4))) (cbrt.f64 (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) x)))))) |
| 1× | egg-herbie |
| 743× | distribute-rgt-neg-in_binary64 |
| 645× | distribute-lft-neg-in_binary64 |
| 618× | fma-neg_binary64 |
| 536× | unswap-sqr_binary64 |
| 515× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 157 |
| 1 | 45 | 157 |
| 2 | 89 | 149 |
| 3 | 251 | 131 |
| 4 | 785 | 119 |
| 5 | 3116 | 119 |
| 6 | 7076 | 119 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x))) |
(*.f64 -5/12 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
(*.f64 -5/12 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 -1/2 (*.f64 x x)) x) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x) |
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x)) |
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x) |
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x)) |
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) |
(*.f64 -5/12 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3))) |
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) |
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x) |
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x)) |
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x) |
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x)) |
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) |
(*.f64 -5/12 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3))) |
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) |
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) |
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x) |
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x)) |
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))) |
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x) |
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x)) |
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
Compiled 24 to 16 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
| 0.0ms | x | @ | -inf | (+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
| 1× | batch-egg-rewrite |
| 636× | unpow-prod-down_binary64 |
| 421× | log-prod_binary64 |
| 419× | fma-def_binary64 |
| 307× | exp-prod_binary64 |
| 269× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 180 | 11 |
| 2 | 2537 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (pow.f64 (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 3) (pow.f64 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(*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) (neg.f64 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) 2) (*.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) 2)) (+.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (pow.f64 (-.f64 -1 x) 2))) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x)))))) |
| 1× | egg-herbie |
| 1352× | fma-def_binary64 |
| 597× | fma-neg_binary64 |
| 378× | distribute-rgt-neg-in_binary64 |
| 286× | unsub-neg_binary64 |
| 273× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 118 |
| 1 | 28 | 112 |
| 2 | 54 | 105 |
| 3 | 131 | 89 |
| 4 | 350 | 89 |
| 5 | 1025 | 89 |
| 6 | 2389 | 89 |
| 7 | 4360 | 89 |
| 8 | 5359 | 89 |
| 9 | 6309 | 89 |
| 10 | 6684 | 89 |
| 11 | 7120 | 89 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 -1 x) |
(+.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(*.f64 x (fma.f64 x 1/2 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(*.f64 x (fma.f64 x 1/2 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
Compiled 28 to 19 computations (32.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
| 1× | batch-egg-rewrite |
| 747× | prod-diff_binary64 |
| 424× | log-prod_binary64 |
| 387× | fma-def_binary64 |
| 283× | pow-prod-down_binary64 |
| 246× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 181 | 11 |
| 2 | 2467 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 (-.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 x (*.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (*.f64 (-.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (*.f64 (-.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) -1/8 -1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 (*.f64 x x) 1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) -1/8 -1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 (*.f64 x x) 1/2))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x -1/2) 2))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x -1/2) 2))) (cbrt.f64 (*.f64 x -1/2)) (*.f64 (-.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (*.f64 (-.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 -1 x) 1)))))) |
| 1× | egg-herbie |
| 1352× | fma-def_binary64 |
| 597× | fma-neg_binary64 |
| 378× | distribute-rgt-neg-in_binary64 |
| 286× | unsub-neg_binary64 |
| 273× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 118 |
| 1 | 28 | 112 |
| 2 | 54 | 105 |
| 3 | 131 | 89 |
| 4 | 350 | 89 |
| 5 | 1025 | 89 |
| 6 | 2389 | 89 |
| 7 | 4360 | 89 |
| 8 | 5359 | 89 |
| 9 | 6309 | 89 |
| 10 | 6684 | 89 |
| 11 | 7120 | 89 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 -1 x) |
(+.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(*.f64 x (fma.f64 x 1/2 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(*.f64 x (fma.f64 x 1/2 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
| ✓ | 0.3b | (*.f64 x -1/6) |
Compiled 38 to 24 computations (36.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
| 1.0ms | x | @ | inf | (*.f64 x -1/6) |
| 1.0ms | x | @ | -inf | (*.f64 x -1/6) |
| 1.0ms | x | @ | 0 | (*.f64 x -1/6) |
| 1.0ms | x | @ | inf | (-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
| 1× | batch-egg-rewrite |
| 565× | prod-diff_binary64 |
| 451× | log-prod_binary64 |
| 364× | fma-def_binary64 |
| 297× | pow-prod-down_binary64 |
| 278× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 220 | 19 |
| 2 | 2855 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x -1/6) |
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
| Outputs |
|---|
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x -1/6 -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/6 -1/2))) 2) (cbrt.f64 (fma.f64 x -1/6 -1/2)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 -1/2))) (sqrt.f64 (fma.f64 x -1/6 -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 -1/2))) (sqrt.f64 (fma.f64 x -1/6 -1/2)) (+.f64 -1 (neg.f64 x))))))) |
| 1× | egg-herbie |
| 772× | distribute-rgt-neg-in_binary64 |
| 667× | distribute-lft-neg-in_binary64 |
| 536× | unswap-sqr_binary64 |
| 514× | associate-*l*_binary64 |
| 467× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 203 |
| 1 | 52 | 199 |
| 2 | 114 | 190 |
| 3 | 372 | 171 |
| 4 | 1163 | 161 |
| 5 | 4048 | 161 |
| 6 | 7749 | 161 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
| Outputs |
|---|
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))) |
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) |
(fma.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2) (-.f64 -1 x)) |
(fma.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1) -1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x))) x) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2)) x) |
(*.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1)) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))) |
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) |
(fma.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2) (-.f64 -1 x)) |
(fma.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1) -1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x))) |
(*.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))) x) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x))) x) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2)) x) |
(*.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1)) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))) |
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)) |
(fma.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2) (-.f64 -1 x)) |
(fma.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1) -1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
| 0.0b | (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) | |
| 0.3b | (*.f64 -1/3 x) |
Compiled 51 to 29 computations (43.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
| 1× | batch-egg-rewrite |
| 667× | log-prod_binary64 |
| 562× | fma-def_binary64 |
| 339× | pow2_binary64 |
| 279× | fma-neg_binary64 |
| 234× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 259 | 19 |
| 2 | 3870 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x (fma.f64 x -1/3 -1/2)))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x (fma.f64 x -1/3 -1/2)))) (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) 2)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (log1p.f64 x) (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) (/.f64 1 (log1p.f64 x)) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x (fma.f64 x -1/3 -1/2)))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x (fma.f64 x -1/3 -1/2))))) 2) (cbrt.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x (fma.f64 x -1/3 -1/2))))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x (fma.f64 x -1/3 -1/2))))) (sqrt.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x (fma.f64 x -1/3 -1/2))))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (fma.f64 x -1/3 -1/2)) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 (*.f64 x (fma.f64 x -1/3 -1/2)) (log1p.f64 x)) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 (fma.f64 x -1/3 -1/2) (log1p.f64 x)) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x -1/3 -1/2) 1) (/.f64 (*.f64 x x) (log1p.f64 x)) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)))) (log1p.f64 x)) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) 1) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (log1p.f64 x)) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x (fma.f64 x -1/3 -1/2)) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (fma.f64 x -1/3 -1/2) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x -1/3 -1/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)))) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (log1p.f64 x))) (/.f64 (fma.f64 x -1/3 -1/2) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x -1/3 -1/2) (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)))) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 689× | times-frac_binary64 |
| 502× | fma-neg_binary64 |
| 371× | distribute-rgt-in_binary64 |
| 340× | distribute-lft-in_binary64 |
| 270× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 749 |
| 1 | 252 | 739 |
| 2 | 770 | 676 |
| 3 | 3634 | 491 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) |
(+.f64 (*.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (log.f64 (/.f64 1 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))))) |
(*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))) |
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) |
(fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) |
(*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)))) |
(+.f64 (*.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))) |
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x))))))) |
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) |
(fma.f64 x (+.f64 (/.f64 -1 (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x))))) |
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x)))) (-.f64 (+.f64 (/.f64 -1 (log.f64 x)) (/.f64 -1/6 (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 3)) (/.f64 -1/2 (pow.f64 (log.f64 x) 2))))))) |
(-.f64 (+.f64 (*.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (log.f64 (/.f64 1 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))))) |
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) (/.f64 1/9 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (neg.f64 (log.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))))) |
(+.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (/.f64 1/9 (*.f64 (log.f64 x) (log.f64 x)))) (-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) (-.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))) (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (neg.f64 (log.f64 x)))))) |
(+.f64 (+.f64 (fma.f64 x (+.f64 (/.f64 -1 (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))))) (/.f64 (/.f64 1/9 (log.f64 x)) (log.f64 x))) (-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (log.f64 x))))) (/.f64 (+.f64 (/.f64 -1 (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))))) (neg.f64 (log.f64 x)))) |
(-.f64 (+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (/.f64 1/9 (pow.f64 (log.f64 x) 2))) (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (-.f64 (*.f64 x x) (/.f64 -1/2 (log.f64 x))))) (*.f64 (-.f64 (+.f64 (/.f64 -1 (log.f64 x)) (/.f64 -1/6 (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 3)) (/.f64 -1/2 (pow.f64 (log.f64 x) 2)))) (-.f64 (/.f64 1 (log.f64 x)) x))) |
(*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) |
(*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x))))))) |
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) |
(fma.f64 x (+.f64 (/.f64 -1 (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x))))) |
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x)))) (-.f64 (+.f64 (/.f64 -1 (log.f64 x)) (/.f64 -1/6 (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 3)) (/.f64 -1/2 (pow.f64 (log.f64 x) 2))))))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) (/.f64 1/9 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (neg.f64 (log.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))))) |
(+.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (/.f64 1/9 (*.f64 (log.f64 x) (log.f64 x)))) (-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) (-.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))) (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (neg.f64 (log.f64 x)))))) |
(+.f64 (+.f64 (fma.f64 x (+.f64 (/.f64 -1 (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))))) (/.f64 (/.f64 1/9 (log.f64 x)) (log.f64 x))) (-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (log.f64 x))))) (/.f64 (+.f64 (/.f64 -1 (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))))) (neg.f64 (log.f64 x)))) |
(-.f64 (+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (/.f64 1/9 (pow.f64 (log.f64 x) 2))) (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (-.f64 (*.f64 x x) (/.f64 -1/2 (log.f64 x))))) (*.f64 (-.f64 (+.f64 (/.f64 -1 (log.f64 x)) (/.f64 -1/6 (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 3)) (/.f64 -1/2 (pow.f64 (log.f64 x) 2)))) (-.f64 (/.f64 1 (log.f64 x)) x))) |
Compiled 14534 to 9745 computations (33% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 710 | 1 | 711 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 711 | 9 | 720 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
| ✓ | 0.4b | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
| ✓ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 0.4b | (+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
| ▶ | 0.3b | (fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
| ✓ | 0.6b | (-.f64 -1 x) |
| 2.0b | -1 | |
| ✓ | 61.2b | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
| ✓ | 0.3b | (-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
Compiled 98 to 71 computations (27.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
| ✓ | 0.0b | (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
| 0.3b | (*.f64 x -1/6) |
Compiled 35 to 25 computations (28.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
| 1.0ms | x | @ | -inf | (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
| 1.0ms | x | @ | 0 | (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
| 0.0ms | x | @ | inf | (fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 496× | log-prod_binary64 |
| 450× | prod-diff_binary64 |
| 318× | pow-prod-down_binary64 |
| 287× | pow2_binary64 |
| 239× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 225 | 23 |
| 2 | 2984 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/2) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (*.f64 x x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -1/2) 1) (*.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -1/2) 3) (pow.f64 (*.f64 -1/6 (*.f64 x x)) 3)) (+.f64 (pow.f64 (*.f64 x 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#<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -1/2) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (*.f64 x x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/6 (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/36)) (*.f64 (cbrt.f64 (*.f64 x -1/6)) x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/6)) (*.f64 (sqrt.f64 (*.f64 x -1/6)) x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) 1 (*.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (cbrt.f64 (*.f64 x -1/2)) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 2) (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 x x))) (sqrt.f64 (*.f64 -1/6 (*.f64 x x))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 1/36))) (cbrt.f64 (*.f64 x -1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/6))) (sqrt.f64 (*.f64 x -1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1/6 (*.f64 x x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) 1) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) 2) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) 2) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (exp.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (exp.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x)))) 2)))))) |
| 1× | egg-herbie |
| 824× | distribute-rgt-neg-in_binary64 |
| 712× | distribute-lft-neg-in_binary64 |
| 564× | associate-*l*_binary64 |
| 536× | unswap-sqr_binary64 |
| 470× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 272 |
| 1 | 57 | 268 |
| 2 | 122 | 250 |
| 3 | 370 | 213 |
| 4 | 1168 | 203 |
| 5 | 4111 | 203 |
| 6 | 7852 | 203 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(*.f64 -1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(*.f64 -1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
| Outputs |
|---|
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x))) |
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(*.f64 x (fma.f64 x -1/6 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x))) |
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(*.f64 x (fma.f64 x -1/6 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x))) |
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(*.f64 x (fma.f64 x -1/6 -1/2)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/6)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x))) |
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(*.f64 x (fma.f64 x -1/6 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x))) |
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(*.f64 x (fma.f64 x -1/6 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x))) |
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(*.f64 x (fma.f64 x -1/6 -1/2)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 x (*.f64 x -1/6)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x))) |
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(*.f64 x (fma.f64 x -1/6 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x))) |
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(*.f64 x (fma.f64 x -1/6 -1/2)) |
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2))) |
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x))) |
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) |
(*.f64 x (fma.f64 x -1/6 -1/2)) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)) |
(-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x) |
(fma.f64 x (fma.f64 -1/2 x -1) -1) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))) |
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x)) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) -1) x) |
(fma.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1) -1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2)) |
(*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))) x) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2)) x) |
(*.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1)) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))) |
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x)) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) -1) x) |
(fma.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1) -1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) |
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))) |
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2)) |
(*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) |
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x) |
(-.f64 (*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))) x) |
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2)) x) |
(*.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1)) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))) |
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x)) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) -1) x) |
(fma.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1) -1) |
Compiled 2058 to 1388 computations (32.6% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 128 | 0 | 128 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 128 | 9 | 137 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
| ✓ | 0.4b | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
| ✓ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 0.4b | (+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
| ✓ | 0.3b | (fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
| ✓ | 0.6b | (-.f64 -1 x) |
| 2.0b | -1 | |
| ✓ | 61.2b | (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
| ✓ | 0.3b | (-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
Compiled 98 to 71 computations (27.6% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
3 calls:
| 9.0ms | x |
| 3.0ms | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| 3.0ms | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| 0.0b | 1 | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
Compiled 166 to 116 computations (30.1% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
| Outputs |
|---|
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
Compiled 114 to 76 computations (33.3% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
Compiled 95 to 61 computations (35.8% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
Compiled 53 to 35 computations (34% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
Compiled 41 to 27 computations (34.1% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
| Outputs |
|---|
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
Compiled 16 to 11 computations (31.3% saved)
Total -1.3b remaining (-205.7%)
Threshold costs -1.3b (-205.7%)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
| Outputs |
|---|
(-.f64 -1 x) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | x |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 1× | +-lft-identity_binary64 |
| 1× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 99 |
| 1 | 55 | 97 |
| 2 | 61 | 97 |
| 3 | 62 | 97 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
(fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(-.f64 -1 x) |
-1 |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
(+.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 (neg.f64 x) (*.f64 -5/12 (pow.f64 x 3)))) -1) |
(+.f64 -1 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) x))) |
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x) |
(-.f64 (fma.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)) -1) x) |
(fma.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/6))) (-.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) -1) x) |
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(-.f64 -1 x) |
-1 |
Compiled 75 to 54 computations (28% saved)
| 1× | egg-herbie |
| 8× | sub-neg_binary64 |
| 6× | fma-def_binary64 |
| 5× | +-commutative_binary64 |
| 4× | associate-+l-_binary64 |
| 3× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 14 | 10 |
| 2 | 19 | 10 |
| 3 | 25 | 10 |
| 4 | 33 | 10 |
| 5 | 43 | 10 |
| 6 | 57 | 10 |
| 7 | 73 | 10 |
| 8 | 77 | 10 |
| 1× | saturated |
Compiled 34 to 26 computations (23.5% saved)
Compiled 68 to 47 computations (30.9% saved)
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