Time bar (total: 8.2s)
| 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)
| 3.8s | 4068× | body | 1024 | valid |
| 1.1s | 2072× | body | 512 | valid |
| 562.0ms | 413× | body | 2048 | valid |
| 395.0ms | 1703× | body | 256 | valid |
| 2× | egg-herbie |
| 18× | +-commutative |
| 12× | fma-def |
| 12× | associate-+l- |
| 8× | sub-neg |
| 6× | associate-+r- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 16 | 19 |
| 2 | 21 | 19 |
| 3 | 28 | 19 |
| 4 | 35 | 19 |
| 5 | 45 | 19 |
| 6 | 64 | 19 |
| 7 | 78 | 19 |
| 8 | 82 | 19 |
| 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 |
| 18× | +-commutative |
| 12× | fma-def |
| 12× | associate-+l- |
| 8× | sub-neg |
| 6× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 16 | 19 |
| 2 | 21 | 19 |
| 3 | 28 | 19 |
| 4 | 35 | 19 |
| 5 | 45 | 19 |
| 6 | 64 | 19 |
| 7 | 78 | 19 |
| 8 | 82 | 19 |
| 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 23 to 16 computations (30.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 3 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 62.3b | (/.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))) |
| ✓ | 6.6b | (log.f64 (+.f64 1 x)) |
| ✓ | 6.7b | (log.f64 (-.f64 1 x)) |
Compiled 26 to 19 computations (26.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| 1.0ms | x | @ | inf | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (log.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (log.f64 (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1240× | associate-*r/ |
| 1060× | associate-/r* |
| 912× | associate-*l/ |
| 892× | *-commutative |
| 660× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 203 | 33 |
| 2 | 2608 | 33 |
| 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 (log1p.f64 (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(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 0 (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 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (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 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (log1p.f64 (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 1 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 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (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 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) 0) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (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 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.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 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x))))))) (#(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 2 (log.f64 (sqrt.f64 (-.f64 1 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 (sqrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (#(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 (pow.f64 (log1p.f64 (neg.f64 x)) 3) 1/3)))) (#(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 exp.f64 (log.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 +.f64 (log1p.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(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 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (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 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (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 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) 1) (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(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 (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 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (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 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) 0) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (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 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 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 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(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 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(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 exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log1p.f64 x)) 0) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (cbrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (log1p.f64 x))) (*.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x))) (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (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))) (log1p.f64 x)))))) (#(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 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (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))) (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 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 -1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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x)) (log1p.f64 x)) 3) 1/3)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (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 expm1.f64 (log1p.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))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 1118× | +-commutative |
| 1036× | associate--r+ |
| 792× | associate-+l- |
| 706× | associate--l+ |
| 668× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 410 | 6223 |
| 1 | 1105 | 5347 |
| 2 | 5213 | 5343 |
| 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 -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)))) |
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)))) |
-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)))))) |
(+.f64 (log1p.f64 (neg.f64 x)) 0) |
(+.f64 0 (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (log.f64 (cbrt.f64 (-.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (-.f64 1 x)))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x))) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (log1p.f64 (log1p.f64 x)))) 1) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 1 x))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) 1)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) 1)) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x)))) 1) |
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x)))) |
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x)) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))) 1) |
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) 0) (log1p.f64 x)) |
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x)))) |
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 1 (log1p.f64 (neg.f64 x))) |
(*.f64 (log1p.f64 (neg.f64 x)) 1) |
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))) |
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (cbrt.f64 (log1p.f64 (neg.f64 x)))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 x)))) |
(pow.f64 (log1p.f64 (neg.f64 x)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 x)))) |
(exp.f64 (log.f64 (log1p.f64 (neg.f64 x)))) |
(log1p.f64 (neg.f64 x)) |
(+.f64 (log1p.f64 x) 0) |
(+.f64 0 (log1p.f64 x)) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x)))) |
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x)))) |
(+.f64 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x)))) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x)) |
(+.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))) 1) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 x))))) |
(+.f64 (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 x))))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) 1)) |
(+.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) 1) (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) 1)) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1) |
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 x)))) 1) |
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) 0) (log1p.f64 (neg.f64 x))) |
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (-.f64 1 x)))) |
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x)))) |
(*.f64 1 (log1p.f64 x)) |
(*.f64 (log1p.f64 x) 1) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) |
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))) |
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(pow.f64 (log1p.f64 x) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3) |
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 x) 2)) |
(cbrt.f64 (pow.f64 (log1p.f64 x) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 x))) |
(exp.f64 (log.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(+.f64 (*.f64 (/.f64 1 (log1p.f64 x)) 0) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (cbrt.f64 (-.f64 1 x))))) |
(+.f64 (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (/.f64 1 (log1p.f64 x)) (log.f64 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (*.f64 0 (/.f64 1 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (log1p.f64 x))) (*.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x)))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x))) (*.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (log1p.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1) |
(*.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 (log1p.f64 x))) |
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 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)) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(*.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)))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))) |
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 -1 (log1p.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 1 (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(*.f64 (/.f64 -1 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 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)))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 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)))) |
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 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)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1) |
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2)) |
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
| 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 x (*.f64 x -1/2)) x) |
(+.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 -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 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 -1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) (neg.f64 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 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 -1/2 (*.f64 x x)) (/.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (log.f64 x) (-.f64 (-.f64 (log.f64 -1) (/.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 -1/2 (*.f64 x x)) (+.f64 (/.f64 1 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 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (/.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)))) |
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (-.f64 (/.f64 -1 x) (/.f64 1/3 (pow.f64 x 3)))) |
x |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) |
(fma.f64 -1/2 (*.f64 x x) 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 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 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 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 (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 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 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 1/2 (*.f64 x x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
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(log1p.f64 (neg.f64 x)) |
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(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x)))) 1) |
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(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))) 1) |
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(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1))))) |
(-.f64 (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))) |
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(*.f64 1 (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(*.f64 (log1p.f64 (neg.f64 x)) 1) |
(log1p.f64 (neg.f64 x)) |
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))) |
(log1p.f64 (neg.f64 x)) |
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) |
(log1p.f64 (neg.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (cbrt.f64 (log1p.f64 (neg.f64 x)))) |
(log1p.f64 (neg.f64 x)) |
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(pow.f64 (log1p.f64 (neg.f64 x)) 1) |
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(pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 2) |
(log1p.f64 (neg.f64 x)) |
(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3) |
(log1p.f64 (neg.f64 x)) |
(pow.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) 1/3) |
(log1p.f64 (neg.f64 x)) |
(sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) |
(fabs.f64 (log1p.f64 (neg.f64 x))) |
(cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3)) |
(log1p.f64 (neg.f64 x)) |
(expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 x)))) |
(log1p.f64 (neg.f64 x)) |
(exp.f64 (log.f64 (log1p.f64 (neg.f64 x)))) |
(log1p.f64 (neg.f64 x)) |
(log1p.f64 (neg.f64 x)) |
(+.f64 (log1p.f64 x) 0) |
(log1p.f64 x) |
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(log1p.f64 x) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x)))) |
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(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) |
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(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
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(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(+.f64 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) |
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(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (log1p.f64 (fma.f64 x x x)))) |
(+.f64 (log1p.f64 (fma.f64 x x x)) (-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 (pow.f64 x 3))))) |
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) |
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)) |
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 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 |
| 1230× | add-sqr-sqrt |
| 1218× | *-un-lft-identity |
| 1130× | add-cube-cbrt |
| 1116× | add-cbrt-cube |
| 1102× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 164 | 15 |
| 2 | 2173 | 15 |
| 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 (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 (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 (/.f64 1 (log1p.f64 x)) (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 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (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 (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 *.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 (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 (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 (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 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 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)))) (#(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 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)))) (#(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 exp.f64 (log.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)))))))) |
| 1× | egg-herbie |
| 1220× | associate-/r* |
| 996× | fma-def |
| 742× | times-frac |
| 598× | associate-/l* |
| 584× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 2430 |
| 1 | 601 | 2216 |
| 2 | 1969 | 2030 |
| 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)))))) |
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) |
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x))) |
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x)) |
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 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)))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 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)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 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)))) |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3) |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
| 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) |
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))) |
(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 (/.f64 1 (log.f64 x)) (+.f64 (log.f64 -1) (log.f64 x))) |
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(+.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 (+.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 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 (log1p.f64 x) (log1p.f64 x))) 1) |
1 |
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x))) |
1 |
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
1 |
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) |
1 |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
1 |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)) |
1 |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
1 |
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x)) |
1 |
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x)))) |
1 |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x)))) |
1 |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x)))) |
1 |
(*.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)))) |
1 |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
1 |
(*.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)))) |
1 |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
1 |
(*.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)))) |
1 |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
1 |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) |
1 |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) |
1 |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3) |
1 |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3) |
1 |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))) |
1 |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)) |
1 |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3)) |
1 |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
Compiled 9860 to 6813 computations (30.9% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 4 | 340 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 337 | 5 | 342 |
| Status | Error | Program |
|---|---|---|
| ▶ | 63.0b | (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x))) |
| ▶ | 63.0b | (/.f64 (neg.f64 x) (log.f64 (+.f64 1 x))) |
| ✓ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 0.2b | (-.f64 -1 x) |
| 0.6b | -1 |
Compiled 34 to 25 computations (26.5% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 x) (log.f64 (+.f64 1 x))) |
| 6.6b | (log.f64 (+.f64 1 x)) |
Compiled 19 to 12 computations (36.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (neg.f64 x) (log.f64 (+.f64 1 x))) |
| 1.0ms | x | @ | inf | (/.f64 (neg.f64 x) (log.f64 (+.f64 1 x))) |
| 1.0ms | x | @ | 0 | (/.f64 (neg.f64 x) (log.f64 (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1672× | add-sqr-sqrt |
| 1656× | *-un-lft-identity |
| 1546× | add-cube-cbrt |
| 1528× | add-cbrt-cube |
| 180× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 15 |
| 1 | 186 | 11 |
| 2 | 2526 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 1254× | +-commutative |
| 1070× | associate--r+ |
| 928× | associate-/r* |
| 726× | associate-*r/ |
| 592× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 1783 |
| 1 | 450 | 1695 |
| 2 | 1815 | 1691 |
| 3 | 7400 | 1691 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1/2 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1) |
(/.f64 x (log.f64 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))) |
(*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))))) |
(-.f64 0 (/.f64 x (log1p.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) 1) |
(-.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x))) |
(*.f64 x (/.f64 1 (log1p.f64 x))) |
(*.f64 x (/.f64 1 (neg.f64 (log1p.f64 x)))) |
(*.f64 1 (/.f64 x (log1p.f64 x))) |
(*.f64 (/.f64 x (log1p.f64 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x)))) |
(*.f64 -1 (/.f64 x (log1p.f64 x))) |
(*.f64 (/.f64 1 (log1p.f64 x)) x) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x)))) |
(pow.f64 (/.f64 x (log1p.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (log1p.f64 x) x) -1) |
(neg.f64 (/.f64 x (log1p.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (log1p.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (log1p.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (log1p.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x)))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x -1) |
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1/2 x (*.f64 1/12 (*.f64 x x))) -1) |
(fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) -1)) |
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 1/12) -1)) |
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 1/12 (*.f64 x x)))) -1) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) -1))) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 x (*.f64 x 1/12) -1))) |
(/.f64 x (log.f64 (/.f64 1 x))) |
(/.f64 x (neg.f64 (log.f64 x))) |
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x)))) |
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2))) |
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (*.f64 (log.f64 x) (log.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))) |
(+.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2)) (-.f64 (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3)))) (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))) |
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (-.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x)))))) |
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x))) x)))) |
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x))) x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2)) (+.f64 (/.f64 1 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2)))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3)))))) |
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (-.f64 (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1/3 (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))))) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (neg.f64 (log.f64 x)) 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x (*.f64 x (neg.f64 (log.f64 x))))))))) |
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (+.f64 (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/3 (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x)))))) (+.f64 (/.f64 (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x))) x) (/.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3))))) (/.f64 (-.f64 (/.f64 (/.f64 -1 (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/3 (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3)))) (-.f64 (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (-.f64 (/.f64 (/.f64 -1 (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x x)))))) |
(*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(/.f64 (neg.f64 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (neg.f64 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) |
(-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(+.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) x) (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) |
(-.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x)) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x)) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (+.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) x) (fma.f64 -1 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))))))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (*.f64 (*.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x))) (+.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 (*.f64 x x) (-.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 (+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (/.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (/.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(-.f64 0 (/.f64 x (log1p.f64 x))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) 1) |
(/.f64 x (log1p.f64 x)) |
(-.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(*.f64 x (/.f64 1 (log1p.f64 x))) |
(/.f64 x (log1p.f64 x)) |
(*.f64 x (/.f64 1 (neg.f64 (log1p.f64 x)))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(*.f64 1 (/.f64 x (log1p.f64 x))) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) 1) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x)))) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x)))) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2)) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x)))) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x)))) |
(/.f64 x (log1p.f64 x)) |
(*.f64 -1 (/.f64 x (log1p.f64 x))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(*.f64 (/.f64 1 (log1p.f64 x)) x) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))) |
(/.f64 x (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 x (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(*.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (/.f64 -1 (sqrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 x (cbrt.f64 (log1p.f64 x))) (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))) |
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x))) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 x (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x))) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))) |
(/.f64 x (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(pow.f64 (/.f64 x (log1p.f64 x)) 1) |
(/.f64 x (log1p.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2) |
(/.f64 x (log1p.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3) |
(/.f64 x (log1p.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3) |
(/.f64 x (log1p.f64 x)) |
(pow.f64 (/.f64 (log1p.f64 x) x) -1) |
(/.f64 x (log1p.f64 x)) |
(neg.f64 (/.f64 x (log1p.f64 x))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2)) |
(/.f64 x (log1p.f64 x)) |
(log.f64 (exp.f64 (/.f64 x (log1p.f64 x)))) |
(/.f64 x (log1p.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (log1p.f64 x))))) |
(/.f64 x (log1p.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3)) |
(/.f64 x (log1p.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) |
(/.f64 x (log1p.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (log1p.f64 x)))) |
(/.f64 x (log1p.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) 1)) |
(/.f64 x (log1p.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x)))) |
(/.f64 x (log1p.f64 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x))) |
| 6.6b | (log.f64 (+.f64 1 x)) |
Compiled 38 to 25 computations (34.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1828× | associate-*r/ |
| 1478× | associate-/r* |
| 1450× | associate-*l/ |
| 262× | add-sqr-sqrt |
| 254× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 259 | 29 |
| 2 | 3504 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (log1p.f64 x))) (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))) (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 -1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (-.f64 (*.f64 x (*.f64 x -1/2)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 952× | associate-+r+ |
| 788× | associate-*r/ |
| 732× | associate-+l+ |
| 722× | associate-/r* |
| 664× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 3083 |
| 1 | 527 | 2625 |
| 2 | 1955 | 2579 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x)) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x)))) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 4) x))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)))))))))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.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 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.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 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x)) (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (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 1/4 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.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 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (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 1/4 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) x))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x))))))))) |
(+.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))) (neg.f64 (/.f64 x (log1p.f64 x)))) |
(+.f64 (neg.f64 (/.f64 x (log1p.f64 x))) (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2)))) |
(-.f64 (/.f64 x (/.f64 (log1p.f64 x) (*.f64 x -1/2))) (/.f64 x (log1p.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) 1) |
(*.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (/.f64 1 (log1p.f64 x))) |
(*.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (log1p.f64 x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)) |
(*.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (/.f64 -1 (log1p.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (log1p.f64 x) (-.f64 (*.f64 x (*.f64 x -1/2)) x)) -1) |
(neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (neg.f64 (log1p.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) (neg.f64 x)) -1) |
(fma.f64 -1/6 (*.f64 x x) (fma.f64 -1 x -1)) |
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 1/180 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (neg.f64 x))) -1) |
(fma.f64 1/180 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1 x -1))) |
(fma.f64 1/180 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) |
(*.f64 1/2 (/.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) |
(*.f64 1/2 (/.f64 x (/.f64 (neg.f64 (log.f64 x)) x))) |
(*.f64 -1/2 (/.f64 (*.f64 x x) (log.f64 x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x)) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (*.f64 x (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1 (neg.f64 (log.f64 x)))))) |
(fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 (log.f64 x)))) (*.f64 1/2 (/.f64 x (/.f64 (neg.f64 (log.f64 x)) x)))) |
(fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (log.f64 x)))) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x)))) |
(+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (*.f64 x (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1 (neg.f64 (log.f64 x)))))) (/.f64 3/4 (pow.f64 (neg.f64 (log.f64 x)) 2)))) |
(+.f64 (fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 (log.f64 x)))) (*.f64 1/2 (/.f64 x (/.f64 (neg.f64 (log.f64 x)) x)))) (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 3/4 (*.f64 (log.f64 x) (log.f64 x))))) |
(+.f64 (fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (log.f64 x)))) (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 3/4 (*.f64 (log.f64 x) (log.f64 x))))) |
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 4) x))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) x) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (log.f64 (/.f64 1 x)))) (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)))))))))) |
(+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (/.f64 3/4 (pow.f64 (neg.f64 (log.f64 x)) 2)) (fma.f64 1/2 (/.f64 (*.f64 x x) (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 4))) (fma.f64 (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1 (neg.f64 (log.f64 x)))) x (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1 (neg.f64 (log.f64 x)))) (*.f64 x (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/6 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 3/4 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3)))))))))) |
(+.f64 (/.f64 3/4 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (+.f64 (fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 (log.f64 x)))) (neg.f64 (*.f64 (log.f64 x) x))) (+.f64 (/.f64 1/6 (*.f64 x (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 3/4 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3)))))) (fma.f64 1/2 (/.f64 x (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 4))))) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 x x) (log.f64 x))) (+.f64 (/.f64 3/4 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (fma.f64 x (+.f64 (/.f64 1/2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x))) (/.f64 (+.f64 (/.f64 -1/4 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (log.f64 x))) (*.f64 x (neg.f64 (log.f64 x))))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 4))) (+.f64 (/.f64 (/.f64 1/6 (*.f64 (log.f64 x) (log.f64 x))) x) (/.f64 3/4 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3))))))))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1/2 (/.f64 (*.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(/.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.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 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x))) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (neg.f64 (*.f64 x (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))) |
(-.f64 (/.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x x))) (*.f64 x (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) |
(fma.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x (/.f64 (*.f64 x x) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.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 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) x)) (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (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 1/4 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))))))) |
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(/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(/.f64 (cbrt.f64 (*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2)))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) 2))) |
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 1) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 2) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 3) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3) 1/3) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(pow.f64 (/.f64 (log1p.f64 x) (-.f64 (*.f64 x (*.f64 x -1/2)) x)) -1) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (neg.f64 (log1p.f64 x)))) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 2)) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))))) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)) 3)) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x))) 1)) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log1p.f64 x)))) |
(-.f64 (*.f64 (/.f64 x (log1p.f64 x)) (*.f64 x -1/2)) (/.f64 x (log1p.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/2 (neg.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) (+.f64 -1 (*.f64 x -1/2))) |
Compiled 7919 to 5223 computations (34% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 344 | 3 | 347 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 2 | 3 |
| Total | 346 | 6 | 352 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)) |
| ▶ | 0.6b | (/.f64 (neg.f64 x) (log1p.f64 x)) |
| ✓ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 0.6b | (-.f64 (*.f64 -1/2 x) 1) |
| ✓ | 0.2b | (-.f64 -1 x) |
| 0.6b | -1 |
Compiled 34 to 25 computations (26.5% saved)
Compiled 12 to 9 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 x) (log1p.f64 x)) |
Compiled 11 to 4 computations (63.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (neg.f64 x) (log1p.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (neg.f64 x) (log1p.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (neg.f64 x) (log1p.f64 x)) |
| 1× | batch-egg-rewrite |
| 1284× | add-sqr-sqrt |
| 1272× | *-un-lft-identity |
| 1184× | add-cube-cbrt |
| 1168× | add-cbrt-cube |
| 1154× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 147 | 11 |
| 2 | 2015 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 x) (log1p.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x)))))))) |
| 1× | egg-herbie |
| 1198× | +-commutative |
| 1072× | associate--r+ |
| 930× | associate-/r* |
| 700× | associate-*r/ |
| 592× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 2037 |
| 1 | 447 | 1811 |
| 2 | 1827 | 1669 |
| 3 | 7174 | 1669 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1/2 x) 1) |
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1) |
(/.f64 x (log.f64 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))) |
(*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))))) |
(-.f64 0 (/.f64 x (log1p.f64 x))) |
(-.f64 (+.f64 1 (/.f64 x (log1p.f64 x))) 1) |
(-.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x))) |
(*.f64 x (/.f64 1 (log1p.f64 x))) |
(*.f64 x (/.f64 1 (neg.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 x (log1p.f64 x)) 1) |
(*.f64 1 (/.f64 x (log1p.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x)))) |
(*.f64 -1 (/.f64 x (log1p.f64 x))) |
(*.f64 (/.f64 1 (log1p.f64 x)) x) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(pow.f64 (/.f64 x (log1p.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (log1p.f64 x) x) -1) |
(neg.f64 (/.f64 x (log1p.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (log1p.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (log1p.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x)))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x -1) |
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1/2 x (*.f64 1/12 (*.f64 x x))) -1) |
(fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) -1)) |
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 1/12 (*.f64 x x)))) -1) |
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) -1))) |
(/.f64 x (log.f64 (/.f64 1 x))) |
(/.f64 x (neg.f64 (log.f64 x))) |
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x)))) |
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2))) |
(+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (*.f64 (log.f64 x) (log.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2)) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3))))) (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))) |
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (-.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x)))))) |
(+.f64 (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)))) (/.f64 (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x))) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 2)) (+.f64 (/.f64 1 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 3))) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2)))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3)))))) |
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (-.f64 (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/3 (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x)))))) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (neg.f64 (log.f64 x)) 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 -1/2 (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x (*.f64 x (neg.f64 (log.f64 x)))))))) |
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (-.f64 (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/3 (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))))) (+.f64 (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3)))))) (/.f64 (-.f64 (/.f64 (/.f64 -1 (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 -1 (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/2 (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x x)) (+.f64 (/.f64 x (neg.f64 (log.f64 x))) (-.f64 (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (neg.f64 (log.f64 x)) 3)) (/.f64 1/3 (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))))) (+.f64 (/.f64 (/.f64 1/2 x) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3)))))))) |
(*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(/.f64 (neg.f64 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (neg.f64 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) |
(-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) |
(+.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) x) (neg.f64 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) |
(-.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x)) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x)) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)) (+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (+.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) x) (fma.f64 -1 (/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))))))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (*.f64 (*.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x))) (+.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 (*.f64 x x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (+.f64 (-.f64 (/.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (/.f64 x (-.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 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 (*.f64 x x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 (*.f64 x x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(-.f64 0 (/.f64 x (log1p.f64 x))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(-.f64 (+.f64 1 (/.f64 x (log1p.f64 x))) 1) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(-.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(*.f64 x (/.f64 1 (log1p.f64 x))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 x (/.f64 1 (neg.f64 (log1p.f64 x)))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(*.f64 (/.f64 x (log1p.f64 x)) 1) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 1 (/.f64 x (log1p.f64 x))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2)) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 -1 (/.f64 x (log1p.f64 x))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(*.f64 (/.f64 1 (log1p.f64 x)) x) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))) |
(/.f64 x (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 x (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(/.f64 x (*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 x (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(/.f64 x (*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))) |
(/.f64 x (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (/.f64 x (log1p.f64 x))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (/.f64 -1 (sqrt.f64 (log1p.f64 x)))) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))) |
(/.f64 (neg.f64 x) (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 x (cbrt.f64 (log1p.f64 x))) (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) |
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(/.f64 (neg.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))) |
(pow.f64 (/.f64 x (log1p.f64 x)) 1) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(pow.f64 (/.f64 (log1p.f64 x) x) -1) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(neg.f64 (/.f64 x (log1p.f64 x))) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2)) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(log.f64 (exp.f64 (/.f64 x (log1p.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3)) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (log1p.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (log1p.f64 x)) 1)) |
(+.f64 (/.f64 x (log1p.f64 x)) 0) |
(/.f64 x (log1p.f64 x)) |
Compiled 18 to 10 computations (44.4% saved)
Compiled 2108 to 1369 computations (35.1% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 89 | 0 | 89 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 89 | 6 | 95 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)) |
| ✓ | 0.6b | (/.f64 (neg.f64 x) (log1p.f64 x)) |
| ✓ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 0.6b | (-.f64 (*.f64 -1/2 x) 1) |
| ✓ | 0.2b | (-.f64 -1 x) |
| 0.6b | -1 |
Compiled 34 to 25 computations (26.5% saved)
Compiled 1 to 1 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)) |
| ✓ | 0.6b | (/.f64 (neg.f64 x) (log1p.f64 x)) |
| ✓ | 0.0b | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 0.6b | (-.f64 (*.f64 -1/2 x) 1) |
| ✓ | 0.2b | (-.f64 -1 x) |
| 0.6b | -1 |
Compiled 34 to 25 computations (26.5% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(-.f64 (*.f64 -1/2 x) 1) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x))) |
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
2 calls:
| 5.0ms | x |
| 2.0ms | (/.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))) |
Compiled 69 to 46 computations (33.3% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(-.f64 (*.f64 -1/2 x) 1) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x))) |
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
Compiled 44 to 29 computations (34.1% saved)
Total -62.8b remaining (-30849.1%)
Threshold costs -62.8b (-30849.1%)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(-.f64 (*.f64 -1/2 x) 1) |
(/.f64 (neg.f64 x) (log1p.f64 x)) |
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
(-.f64 -1 x) |
1 calls:
| 30.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
Compiled 24 to 16 computations (33.3% saved)
| 1× | egg-herbie |
| 4× | sub-neg |
| 4× | +-commutative |
| 2× | neg-mul-1 |
| 2× | *-commutative |
| 2× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 48 |
| 1 | 18 | 48 |
| 2 | 21 | 48 |
| 3 | 22 | 48 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)) |
(-.f64 -1 x) |
-1 |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(fma.f64 -1/6 (*.f64 x x) (-.f64 -1 x)) |
(-.f64 -1 x) |
-1 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | egg-herbie |
| 18× | +-commutative |
| 12× | fma-def |
| 12× | associate-+l- |
| 8× | sub-neg |
| 6× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 16 | 19 |
| 2 | 21 | 19 |
| 3 | 28 | 19 |
| 4 | 35 | 19 |
| 5 | 45 | 19 |
| 6 | 64 | 19 |
| 7 | 78 | 19 |
| 8 | 82 | 19 |
| 1× | saturated |
Compiled 34 to 23 computations (32.4% saved)
Compiled 19 to 13 computations (31.6% saved)
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