Time bar (total: 2.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 5 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 6 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 7 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 8 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 9 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 10 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 11 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 1.0s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 6× | +-commutative |
| 2× | 1-exp |
| 2× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 17 | 31 |
| 2 | 18 | 31 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 6× | +-commutative |
| 2× | 1-exp |
| 2× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 17 | 31 |
| 2 | 18 | 31 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) |
Compiled 23 to 17 computations (26.1% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
Compiled 12 to 9 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 0.0b | (/.f64 1 (-.f64 x 1)) |
Compiled 30 to 21 computations (30% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 x 1)) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 x 1)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 1918× | add-sqr-sqrt |
| 1898× | *-un-lft-identity |
| 1780× | add-cube-cbrt |
| 1762× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 179 | 26 |
| 2 | 2451 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (-.f64 x 1)) |
(/.f64 x (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x)))))))) |
| 1× | egg-herbie |
| 1574× | distribute-lft-in |
| 928× | unswap-sqr |
| 594× | associate-+l- |
| 590× | associate-+r+ |
| 568× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1743 |
| 1 | 454 | 1661 |
| 2 | 1567 | 1641 |
| 3 | 5688 | 1641 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1) |
(*.f64 1 (/.f64 1 (+.f64 x -1))) |
(*.f64 (/.f64 1 (+.f64 x -1)) 1) |
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (/.f64 1 (+.f64 x -1)))) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1))) |
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1)) |
(pow.f64 (+.f64 x -1) -1) |
(pow.f64 (/.f64 1 (+.f64 x -1)) 1) |
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x -1) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) 1) |
(*.f64 1 (/.f64 x (+.f64 1 x))) |
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 x (+.f64 1 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) x) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x)))) |
(pow.f64 (/.f64 x (+.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 1 x) x) -1) |
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x))) |
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x)))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x)) |
(fma.f64 -1 (fma.f64 x x x) -1) |
(-.f64 -1 (fma.f64 x x x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x))) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1)) |
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3)) |
(-.f64 -1 (+.f64 x (*.f64 x (fma.f64 x x x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(fma.f64 x (neg.f64 x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x))) |
(*.f64 x (-.f64 (fma.f64 x x 1) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x)) |
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1) |
(/.f64 1 (+.f64 -1 x)) |
(*.f64 1 (/.f64 1 (+.f64 x -1))) |
(/.f64 1 (+.f64 -1 x)) |
(*.f64 (/.f64 1 (+.f64 x -1)) 1) |
(/.f64 1 (+.f64 -1 x)) |
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2)) |
(/.f64 1 (+.f64 -1 x)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (/.f64 1 (+.f64 x -1)))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 x) -2))) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1))) |
(/.f64 -1 (-.f64 1 x)) |
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x)) |
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1)) |
(/.f64 (+.f64 x 1) (fma.f64 x x -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x))) |
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1))) |
(/.f64 (+.f64 (fma.f64 x x x) 1) (+.f64 -1 (pow.f64 x 3))) |
(/.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 -1 (pow.f64 x 3))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1)) |
(pow.f64 (sqrt.f64 (+.f64 -1 x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 -1 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (+.f64 -1 x))) |
(pow.f64 (+.f64 x -1) -1) |
(/.f64 1 (+.f64 -1 x)) |
(pow.f64 (/.f64 1 (+.f64 x -1)) 1) |
(/.f64 1 (+.f64 -1 x)) |
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2) |
(/.f64 1 (+.f64 -1 x)) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) 3) |
(/.f64 1 (+.f64 -1 x)) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3) |
(/.f64 1 (+.f64 -1 x)) |
(sqrt.f64 (pow.f64 (+.f64 x -1) -2)) |
(/.f64 1 (+.f64 -1 x)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) |
(/.f64 1 (+.f64 -1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))) |
(/.f64 1 (+.f64 -1 x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3)) |
(/.f64 1 (+.f64 -1 x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) |
(/.f64 1 (+.f64 -1 x)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1)))) |
(/.f64 1 (+.f64 -1 x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1)) |
(/.f64 1 (+.f64 -1 x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1)) |
(/.f64 1 (+.f64 -1 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))) |
(/.f64 1 (+.f64 -1 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) 1) |
(/.f64 x (+.f64 x 1)) |
(*.f64 1 (/.f64 x (+.f64 1 x))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(*.f64 (/.f64 x (+.f64 1 x)) 1) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x)))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x)))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) x) |
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x)))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x))) |
(/.f64 x (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(/.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1)) |
(*.f64 (+.f64 -1 x) (/.f64 x (fma.f64 x x -1))) |
(/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) x)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(/.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x))) |
(/.f64 x (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(pow.f64 (/.f64 x (+.f64 1 x)) 1) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (/.f64 (+.f64 1 x) x) -1) |
(/.f64 x (+.f64 x 1)) |
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x)))) |
(/.f64 x (+.f64 x 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) |
(/.f64 x (+.f64 x 1)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x)))) |
(/.f64 x (+.f64 x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))) |
(/.f64 x (+.f64 x 1)) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3)) |
(/.f64 x (+.f64 x 1)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) |
(/.f64 x (+.f64 x 1)) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x))) |
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1)) |
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x)))) |
(/.f64 x (+.f64 x 1)) |
Compiled 2087 to 1499 computations (28.2% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 124 | 4 | 128 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 124 | 5 | 129 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| ▶ | 28.7b | (+.f64 (/.f64 1 (-.f64 x 1)) x) |
| ▶ | 33.8b | (+.f64 (/.f64 1 (-.f64 x 1)) 1) |
| ▶ | 33.5b | (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) |
| ▶ | 28.5b | (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) |
Compiled 48 to 36 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 x 1)) |
Compiled 24 to 16 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 x 1)) |
Compiled 23 to 15 computations (34.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (-.f64 x 1)) | |
| ✓ | 4.1b | (+.f64 (/.f64 1 (-.f64 x 1)) 1) |
Compiled 18 to 14 computations (22.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 1 (-.f64 x 1)) 1) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 1 (-.f64 x 1)) 1) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 1 (-.f64 x 1)) 1) |
| 1× | batch-egg-rewrite |
| 1632× | add-sqr-sqrt |
| 1610× | *-un-lft-identity |
| 1512× | add-cube-cbrt |
| 1500× | add-cbrt-cube |
| 160× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 158 | 19 |
| 2 | 2126 | 19 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 (pow.f64 (+.f64 x -1) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (+.f64 (/.f64 1 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (-.f64 1 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1))))) |
| 1× | egg-herbie |
| 1608× | associate-/l* |
| 1062× | associate-/r* |
| 918× | associate-*r* |
| 766× | associate-*l* |
| 704× | associate-+r+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1454 |
| 1 | 255 | 1400 |
| 2 | 771 | 1254 |
| 3 | 3654 | 1248 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 4))))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) 1) |
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1))) |
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1)))) |
(*.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 (pow.f64 (+.f64 x -1) -2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (pow.f64 (+.f64 x -1) -3)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (+.f64 x -1))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (-.f64 1 (/.f64 1 (+.f64 x -1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))))) |
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) |
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) |
(fma.f64 1 (/.f64 1 (+.f64 x -1)) 1) |
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) |
(-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)) |
(-.f64 (neg.f64 x) (*.f64 x (fma.f64 x x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 4))))) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (*.f64 -1 (+.f64 x (pow.f64 x 4))))) |
(-.f64 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 4)) (pow.f64 x 3)) |
(-.f64 (*.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 x 4) (pow.f64 x 3))) |
(*.f64 (+.f64 (*.f64 x x) 1) (*.f64 x (-.f64 -1 x))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3)))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) 1) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1))) |
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) |
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1)))) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(*.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2))) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2)) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1))) |
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x)))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x))))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 (pow.f64 (+.f64 x -1) -2) -1))) |
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (pow.f64 (+.f64 x -1) -3)))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x)))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) |
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x)))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (+.f64 x -1))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x)))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (-.f64 1 (/.f64 1 (+.f64 x -1)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1))) |
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x)))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x))))) |
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) 2) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 3) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3) 1/3) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 2)) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3)) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) |
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 -1 x)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))) 1)) |
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 -1 x)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(fma.f64 1 (/.f64 1 (+.f64 x -1)) 1) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 1) |
(+.f64 1 (/.f64 1 (+.f64 -1 x))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 -1 x))) 1) |
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)) (cbrt.f64 (+.f64 -1 x)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (-.f64 x 1)) |
Compiled 18 to 13 computations (27.8% saved)
Compiled 4284 to 3092 computations (27.8% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 4 | 322 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 320 | 7 | 327 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| ✓ | 28.7b | (+.f64 (/.f64 1 (-.f64 x 1)) x) |
| ✓ | 33.5b | (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) |
| ▶ | 28.6b | (+.f64 (-.f64 -1 x) x) |
| ▶ | 28.9b | (+.f64 -1 x) |
| ▶ | 61.7b | (neg.f64 x) |
| 34.0b | 1 |
Compiled 45 to 33 computations (26.7% saved)
Compiled 4 to 2 computations (50% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.9b | (+.f64 (-.f64 -1 x) x) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 -1 x) x) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 -1 x) x) |
| 0.0ms | x | @ | -inf | (+.f64 (-.f64 -1 x) x) |
| 1× | egg-rewrite-iter-limit |
| 1× | batch-egg-rewrite |
| 148× | add-sqr-sqrt |
| 144× | pow1 |
| 144× | *-un-lft-identity |
| 138× | add-exp-log |
| 138× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 140 | 13 |
| 2 | 2110 | 13 |
| 0 | 6 | 13 |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(+.f64 (-.f64 -1 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (-.f64 -1 x))) (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x)))))))) |
| 1× | egg-herbie |
| 1394× | associate-+l- |
| 1012× | fma-neg |
| 1012× | +-commutative |
| 970× | *-commutative |
| 784× | associate-/r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 96 |
| 1 | 124 | 96 |
| 2 | 226 | 90 |
| 3 | 595 | 86 |
| 4 | 2394 | 86 |
| 5 | 7742 | 86 |
| 1× | node limit |
| Inputs |
|---|
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
(-.f64 -1 (-.f64 x x)) |
(*.f64 1 (+.f64 x (-.f64 -1 x))) |
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) |
(/.f64 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 x x)) (-.f64 (-.f64 -1 x) x)) |
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) x)))) |
(pow.f64 (+.f64 x (-.f64 -1 x)) 1) |
(log.f64 (exp.f64 (+.f64 x (-.f64 -1 x)))) |
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (-.f64 -1 x))) (+.f64 x (-.f64 -1 x)))) |
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 -1 x)))) |
(exp.f64 (log.f64 (+.f64 x (-.f64 -1 x)))) |
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x)))) |
| Outputs |
|---|
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
(-.f64 -1 (-.f64 x x)) |
-1 |
(*.f64 1 (+.f64 x (-.f64 -1 x))) |
-1 |
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x)))) |
-1 |
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) |
-1 |
(/.f64 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 x x)) (-.f64 (-.f64 -1 x) x)) |
-1 |
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) x)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 x) (*.f64 x (-.f64 x (-.f64 -1 x))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 x) (*.f64 x (+.f64 (-.f64 x -1) x)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 x -2))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (fma.f64 x -2 -1)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x -2 -1) (*.f64 x x))) |
(pow.f64 (+.f64 x (-.f64 -1 x)) 1) |
-1 |
(log.f64 (exp.f64 (+.f64 x (-.f64 -1 x)))) |
-1 |
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (-.f64 -1 x))) (+.f64 x (-.f64 -1 x)))) |
(cbrt.f64 -1) |
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 -1 x)))) |
-1 |
(exp.f64 (log.f64 (+.f64 x (-.f64 -1 x)))) |
-1 |
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x)))) |
-1 |
Compiled 258 to 180 computations (30.2% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 18 | 1 | 19 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 21 | 5 | 26 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| ✓ | 28.7b | (+.f64 (/.f64 1 (-.f64 x 1)) x) |
| ✓ | 33.5b | (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) |
| 34.0b | 1 | |
| 29.1b | -1 |
Compiled 34 to 26 computations (23.5% saved)
Compiled 1 to 1 computations (0% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 5 | 5 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| ✓ | 28.7b | (+.f64 (/.f64 1 (-.f64 x 1)) x) |
| ✓ | 33.5b | (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) |
| 34.0b | 1 | |
| 29.1b | -1 |
Compiled 34 to 26 computations (23.5% saved)
| Inputs |
|---|
-1 |
1 |
(neg.f64 x) |
(+.f64 -1 x) |
(+.f64 (-.f64 -1 x) x) |
(+.f64 (/.f64 1 (-.f64 x 1)) 1) |
(+.f64 (/.f64 1 (-.f64 x 1)) x) |
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
2 calls:
| 7.0ms | x |
| 2.0ms | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
Compiled 70 to 50 computations (28.6% saved)
| Inputs |
|---|
-1 |
1 |
(neg.f64 x) |
(+.f64 -1 x) |
(+.f64 (-.f64 -1 x) x) |
(+.f64 (/.f64 1 (-.f64 x 1)) 1) |
(+.f64 (/.f64 1 (-.f64 x 1)) x) |
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
1 |
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) |
1 calls:
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
Compiled 47 to 33 computations (29.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 50.0ms | 8.048306717176966e-7 | 244755.1633775137 |
| 25.0ms | -99465825705.77332 | -6.488167514349664e-12 |
| 71.0ms | 336× | body | 256 | valid |
Compiled 390 to 293 computations (24.9% saved)
| Inputs |
|---|
-1 |
1 |
(neg.f64 x) |
(+.f64 -1 x) |
(+.f64 (-.f64 -1 x) x) |
(+.f64 (/.f64 1 (-.f64 x 1)) 1) |
(+.f64 (/.f64 1 (-.f64 x 1)) x) |
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
1 |
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) |
1 |
1 calls:
| 48.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
Compiled 38 to 27 computations (28.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 8.048306717176966e-7 | 244755.1633775137 |
| 21.0ms | -99465825705.77332 | -6.488167514349664e-12 |
| 34.0ms | 336× | body | 256 | valid |
Compiled 310 to 243 computations (21.6% saved)
Total -63.0b remaining (-54306.3%)
Threshold costs -63.0b (-54306.3%)
| Inputs |
|---|
-1 |
1 |
(neg.f64 x) |
(+.f64 -1 x) |
(+.f64 (-.f64 -1 x) x) |
(+.f64 (/.f64 1 (-.f64 x 1)) 1) |
(+.f64 (/.f64 1 (-.f64 x 1)) x) |
| Outputs |
|---|
1 |
-1 |
1 |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
Compiled 29 to 21 computations (27.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 8.048306717176966e-7 | 244755.1633775137 |
| 54.0ms | -99465825705.77332 | -6.488167514349664e-12 |
| 68.0ms | 336× | body | 256 | valid |
Compiled 142 to 138 computations (2.8% saved)
| 1× | egg-herbie |
| 14× | +-commutative |
| 6× | sub-neg |
| 4× | if-if-or-not |
| 2× | 1-exp |
| 2× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 167 |
| 1 | 45 | 167 |
| 2 | 49 | 167 |
| 3 | 51 | 167 |
| 4 | 52 | 167 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))))) |
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1)) |
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1)) |
-1 |
| Outputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) |
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))))) |
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x)))) |
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1)) |
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) 1)) |
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1)) |
-1 |
Compiled 74 to 56 computations (24.3% saved)
Compiled 70 to 52 computations (25.7% saved)
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