Time bar (total: 3.1s)
| 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 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 62.5% | 62.5% | 37.5% | 0% | 0% | 0% | 0% | 4 |
| 78.6% | 68.7% | 18.7% | 0% | 12.5% | 0% | 0% | 5 |
| 88.5% | 71.8% | 9.4% | 0% | 18.7% | 0% | 0% | 6 |
| 94% | 73.4% | 4.7% | 0% | 21.9% | 0% | 0% | 7 |
| 96.9% | 74.2% | 2.3% | 0% | 23.4% | 0% | 0% | 8 |
| 98.5% | 74.6% | 1.2% | 0% | 24.2% | 0% | 0% | 9 |
| 99.2% | 75% | 0.6% | 0% | 24.4% | 0% | 0% | 10 |
| 99.6% | 75.1% | 0.3% | 0% | 24.6% | 0% | 0% | 11 |
| 99.8% | 75.1% | 0.1% | 0% | 24.7% | 0% | 0% | 12 |
Compiled 8 to 6 computations (25% saved)
| 1.1s | 2732× | body | 1024 | valid |
| 469.0ms | 3856× | body | 256 | valid |
| 303.0ms | 1398× | body | 512 | valid |
| 85.0ms | 270× | body | 2048 | valid |
| 1.0ms | 10× | body | 256 | infinite |
| 2× | egg-herbie |
| 186× | fma-def |
| 78× | associate-*r* |
| 78× | associate--r+ |
| 70× | *-commutative |
| 66× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 17 | 11 |
| 2 | 20 | 11 |
| 3 | 24 | 11 |
| 4 | 33 | 11 |
| 5 | 43 | 11 |
| 6 | 62 | 11 |
| 7 | 118 | 11 |
| 8 | 179 | 11 |
| 9 | 263 | 11 |
| 10 | 400 | 11 |
| 11 | 589 | 11 |
| 12 | 667 | 11 |
| 13 | 709 | 11 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 186× | fma-def |
| 78× | associate-*r* |
| 78× | associate--r+ |
| 70× | *-commutative |
| 66× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 17 | 11 |
| 2 | 20 | 11 |
| 3 | 24 | 11 |
| 4 | 33 | 11 |
| 5 | 43 | 11 |
| 6 | 62 | 11 |
| 7 | 118 | 11 |
| 8 | 179 | 11 |
| 9 | 263 | 11 |
| 10 | 400 | 11 |
| 11 | 589 | 11 |
| 12 | 667 | 11 |
| 13 | 709 | 11 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 11 to 7 computations (36.4% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (expm1.f64 x) x) |
Compiled 5 to 3 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (expm1.f64 x) |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
Compiled 8 to 3 computations (62.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (expm1.f64 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (expm1.f64 x) x) |
| 0.0ms | x | @ | 0 | (/.f64 (expm1.f64 x) x) |
| 0.0ms | x | @ | 0 | (expm1.f64 x) |
| 0.0ms | x | @ | inf | (expm1.f64 x) |
| 1× | batch-egg-rewrite |
| 1258× | add-sqr-sqrt |
| 1246× | *-un-lft-identity |
| 1158× | add-cube-cbrt |
| 1142× | add-cbrt-cube |
| 1130× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 120 | 16 |
| 2 | 1538 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(expm1.f64 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 x))))))) |
| 1× | egg-herbie |
| 1460× | associate-*r/ |
| 1406× | associate-/l* |
| 1058× | times-frac |
| 864× | unswap-sqr |
| 806× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 917 |
| 1 | 337 | 877 |
| 2 | 1840 | 877 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
x |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x))) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x)) |
(*.f64 (expm1.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (expm1.f64 x) x) 1) |
(*.f64 1 (/.f64 (expm1.f64 x) x)) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (expm1.f64 x)) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(pow.f64 (/.f64 (expm1.f64 x) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) |
(+.f64 (exp.f64 x) -1) |
(-.f64 (exp.f64 x) 1) |
(*.f64 (expm1.f64 x) 1) |
(*.f64 1 (expm1.f64 x)) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))) |
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) 1)))) |
(pow.f64 (expm1.f64 x) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3) |
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (expm1.f64 x) 2)) |
(log.f64 (exp.f64 (expm1.f64 x))) |
(cbrt.f64 (pow.f64 (expm1.f64 x) 3)) |
(exp.f64 (log.f64 (expm1.f64 x))) |
(log1p.f64 (expm1.f64 (expm1.f64 x))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
x |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x) |
(fma.f64 1/2 (*.f64 x x) x) |
(*.f64 (fma.f64 1/2 x 1) x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) |
(fma.f64 1/6 (pow.f64 x 3) (*.f64 (fma.f64 1/2 x 1) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x))) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1) |
(/.f64 (expm1.f64 x) x) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (expm1.f64 x) (/.f64 1 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (expm1.f64 x) x) 1) |
(/.f64 (expm1.f64 x) x) |
(*.f64 1 (/.f64 (expm1.f64 x) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 x) (expm1.f64 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (expm1.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (expm1.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (/.f64 (expm1.f64 x) x) 1) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
(/.f64 (expm1.f64 x) x) |
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) |
(fabs.f64 (/.f64 (expm1.f64 x) x)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) |
(/.f64 (expm1.f64 x) x) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(+.f64 (exp.f64 x) -1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(*.f64 (expm1.f64 x) 1) |
(expm1.f64 x) |
(*.f64 1 (expm1.f64 x)) |
(expm1.f64 x) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(expm1.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 (exp.f64 x) 1)) |
(expm1.f64 x) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (*.f64 (exp.f64 x) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (exp.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 (exp.f64 x))))) |
(pow.f64 (expm1.f64 x) 1) |
(expm1.f64 x) |
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2) |
(expm1.f64 x) |
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3) |
(expm1.f64 x) |
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3) |
(expm1.f64 x) |
(sqrt.f64 (pow.f64 (expm1.f64 x) 2)) |
(fabs.f64 (expm1.f64 x)) |
(log.f64 (exp.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(cbrt.f64 (pow.f64 (expm1.f64 x) 3)) |
(expm1.f64 x) |
(exp.f64 (log.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(log1p.f64 (expm1.f64 (expm1.f64 x))) |
(expm1.f64 x) |
Compiled 744 to 364 computations (51.1% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 3 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 76 | 4 | 80 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ▶ | 22.9b | (+.f64 (*.f64 1/2 x) 1) |
| 22.2b | 1 |
Compiled 20 to 15 computations (25% saved)
Compiled 12 to 9 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (expm1.f64 x) | |
| ✓ | 0.0b | (pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| ✓ | 0.0b | (/.f64 x (expm1.f64 x)) |
Compiled 15 to 6 computations (60% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (expm1.f64 x)) |
| 0.0ms | x | @ | -inf | (pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| 0.0ms | x | @ | 0 | (/.f64 x (expm1.f64 x)) |
| 0.0ms | x | @ | inf | (pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| 0.0ms | x | @ | -inf | (/.f64 x (expm1.f64 x)) |
| 1× | batch-egg-rewrite |
| 1580× | add-sqr-sqrt |
| 1558× | *-un-lft-identity |
| 1456× | add-cube-cbrt |
| 1438× | add-cbrt-cube |
| 1424× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 165 | 22 |
| 2 | 2007 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (expm1.f64 x)) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))))))) |
| 1× | egg-herbie |
| 1532× | associate-*r/ |
| 1020× | associate-+r- |
| 980× | associate-/r* |
| 788× | associate-/l* |
| 684× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1437 |
| 1 | 457 | 1383 |
| 2 | 1749 | 1383 |
| 3 | 7600 | 1383 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(-.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1) |
(*.f64 x (/.f64 1 (expm1.f64 x))) |
(*.f64 (/.f64 x (expm1.f64 x)) 1) |
(*.f64 1 (/.f64 x (expm1.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (expm1.f64 x)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 x (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x)))) |
(pow.f64 (/.f64 x (expm1.f64 x)) 1) |
(pow.f64 (/.f64 (expm1.f64 x) x) -1) |
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3) |
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x)))) |
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x)) |
(*.f64 (expm1.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (expm1.f64 x) x) 1) |
(*.f64 1 (/.f64 (expm1.f64 x) x)) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (/.f64 1 x) (expm1.f64 x)) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (pow.f64 x -1) (pow.f64 (/.f64 1 (expm1.f64 x)) -1)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1)) |
(/.f64 (expm1.f64 x) x) |
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 1 (/.f64 x (expm1.f64 x))) |
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1)) |
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 (/.f64 (expm1.f64 x) 1) x) |
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))) |
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 1) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))) |
(fma.f64 -1/2 x (+.f64 1 (*.f64 1/12 (*.f64 x x)))) |
(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 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))) |
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (+.f64 1 (*.f64 1/12 (*.f64 x x))))) |
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) |
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1))) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(fma.f64 x 1/2 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 1)) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/6) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(-.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1) |
(/.f64 x (expm1.f64 x)) |
(*.f64 x (/.f64 1 (expm1.f64 x))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (/.f64 x (expm1.f64 x)) 1) |
(/.f64 x (expm1.f64 x)) |
(*.f64 1 (/.f64 x (expm1.f64 x))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (expm1.f64 x))) |
(*.f64 (/.f64 1 (expm1.f64 x)) x) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 x (sqrt.f64 (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (expm1.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (expm1.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) |
(pow.f64 (/.f64 x (expm1.f64 x)) 1) |
(/.f64 x (expm1.f64 x)) |
(pow.f64 (/.f64 (expm1.f64 x) x) -1) |
(/.f64 x (expm1.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2) |
(/.f64 x (expm1.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3) |
(/.f64 x (expm1.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3) |
(/.f64 x (expm1.f64 x)) |
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2)) |
(/.f64 x (expm1.f64 x)) |
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3)) |
(/.f64 x (expm1.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1)) |
(/.f64 x (expm1.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 x (expm1.f64 x)) |
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1) |
(/.f64 (expm1.f64 x) x) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (expm1.f64 x) (/.f64 1 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (expm1.f64 x) x) 1) |
(/.f64 (expm1.f64 x) x) |
(*.f64 1 (/.f64 (expm1.f64 x) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))) |
(*.f64 (/.f64 1 x) (expm1.f64 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 x -1) (pow.f64 (/.f64 1 (expm1.f64 x)) -1)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1)) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 (expm1.f64 x) x) |
(/.f64 1 (/.f64 x (expm1.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1)) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x)))) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x)) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x)))) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (/.f64 (expm1.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) |
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) |
(/.f64 (expm1.f64 x) x) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) |
(/.f64 (expm1.f64 x) x) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (log.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1)) |
(/.f64 (expm1.f64 x) x) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
Compiled 1446 to 747 computations (48.3% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 1 | 135 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 135 | 4 | 139 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ▶ | 0.0b | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| ✓ | 22.9b | (+.f64 (*.f64 1/2 x) 1) |
| 22.2b | 1 |
Compiled 20 to 15 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| 0.0b | (expm1.f64 x) | |
| 0.0b | (/.f64 x (expm1.f64 x)) |
Compiled 15 to 6 computations (60% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| 1× | batch-egg-rewrite |
| 1578× | add-sqr-sqrt |
| 1562× | *-un-lft-identity |
| 1454× | add-cube-cbrt |
| 1436× | add-cbrt-cube |
| 1420× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 161 | 11 |
| 2 | 2010 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 x (expm1.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))))))) |
| 1× | egg-herbie |
| 1136× | associate-+r+ |
| 938× | associate-+l+ |
| 614× | associate-*r/ |
| 558× | associate-/l* |
| 464× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 721 |
| 1 | 306 | 699 |
| 2 | 1199 | 675 |
| 3 | 4881 | 675 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x)) |
(*.f64 1 (/.f64 (expm1.f64 x) x)) |
(*.f64 (expm1.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (expm1.f64 x) x) 1) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (/.f64 1 x) (expm1.f64 x)) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1)) |
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 x) 1) (expm1.f64 x)) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))) |
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1)) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
(pow.f64 (/.f64 (expm1.f64 x) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))) |
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1) |
(/.f64 (expm1.f64 x) x) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 1 (/.f64 (expm1.f64 x) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (expm1.f64 x) (/.f64 1 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (expm1.f64 x) x) 1) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 x) (expm1.f64 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x)))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (*.f64 (/.f64 1 x) 1) (expm1.f64 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 3) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 3) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 3) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1)) |
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x)))) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (/.f64 (expm1.f64 x) x) 1) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3) |
(/.f64 (expm1.f64 x) x) |
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) |
(/.f64 (expm1.f64 x) x) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) |
(/.f64 (expm1.f64 x) x) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (log.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1)) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1)) |
(/.f64 (expm1.f64 x) x) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
Compiled 1449 to 764 computations (47.3% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 1 | 135 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 134 | 5 | 139 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ✓ | 0.0b | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| ▶ | 19.1b | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| ✓ | 22.9b | (+.f64 (*.f64 1/2 x) 1) |
| 22.2b | 1 |
Compiled 28 to 22 computations (21.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
Compiled 19 to 15 computations (21.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| 1× | batch-egg-rewrite |
| 1616× | add-sqr-sqrt |
| 1592× | *-un-lft-identity |
| 1490× | add-cube-cbrt |
| 1478× | add-cbrt-cube |
| 162× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 172 | 15 |
| 2 | 2070 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) -1)) (fma.f64 -1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1 (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1)))))))) |
| 1× | egg-herbie |
| 1078× | distribute-lft-in |
| 1032× | distribute-rgt-in |
| 850× | associate-/l/ |
| 810× | associate-*r* |
| 698× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 875 |
| 1 | 287 | 823 |
| 2 | 893 | 819 |
| 3 | 3814 | 819 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4))))))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) 1) |
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x 1))) |
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1) |
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))) |
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) -1)) (fma.f64 -1/2 x -1)) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1 (*.f64 -1/2 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -1)) |
(pow.f64 (fma.f64 -1/2 x 1) -1) |
(pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1) |
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) |
(exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x)))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 x)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 (*.f64 x x) 1/4 (fma.f64 1/2 x 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) 1)) |
(fma.f64 x (*.f64 x 1/4) (fma.f64 1/2 x 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) |
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 1/8 (pow.f64 x 3))) (fma.f64 1/2 x 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) (fma.f64 1/8 (pow.f64 x 3) 1))) |
(+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/4 (*.f64 x 1/8)))))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x))) |
(-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) |
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)) (/.f64 8 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) (/.f64 -8 (pow.f64 x 3))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4))))))) |
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))) |
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))) |
(+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) (+.f64 (/.f64 -16 (pow.f64 x 4)) (/.f64 -8 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -16 (pow.f64 x 4)))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x))) |
(-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) |
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)) (/.f64 8 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) (/.f64 -8 (pow.f64 x 3))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 8 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4))))))) |
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))) |
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))) |
(+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) (+.f64 (/.f64 -16 (pow.f64 x 4)) (/.f64 -8 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -16 (pow.f64 x 4)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) 1) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x 1))) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2)) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2)) (cbrt.f64 (fma.f64 x -1/2 1))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1)))) |
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1) -2)) (cbrt.f64 (fma.f64 x -1/2 1))) |
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1)))) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) -1)) (fma.f64 -1/2 x -1)) |
(*.f64 (/.f64 1 (fma.f64 (*.f64 x x) 1/4 -1)) (fma.f64 -1/2 x -1)) |
(/.f64 (fma.f64 x -1/2 -1) (fma.f64 x (*.f64 x 1/4) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1 (*.f64 -1/2 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 x 3) -1/8))) (fma.f64 (*.f64 x x) 1/4 (fma.f64 1/2 x 1))) |
(/.f64 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) 1)) (fma.f64 (pow.f64 x 3) -1/8 1)) |
(/.f64 (fma.f64 x (*.f64 x 1/4) (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) -1/8 1)) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1)) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -2) |
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 1)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -1)) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(pow.f64 (fma.f64 -1/2 x 1) -1) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3)) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
(exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x)))) |
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2)))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 x)) -1)) |
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2)))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))) 1)) |
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) |
(/.f64 1 (fma.f64 -1/2 x 1)) |
(/.f64 1 (fma.f64 x -1/2 1)) |
Compiled 728 to 571 computations (21.6% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 59 | 3 | 62 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 59 | 8 | 67 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ✓ | 0.0b | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| ✓ | 19.1b | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| 58.5b | (/.f64 -2 x) | |
| 59.5b | (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) | |
| ✓ | 22.9b | (+.f64 (*.f64 1/2 x) 1) |
| 23.2b | (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/4 (*.f64 x 1/8)))))) | |
| 22.2b | 1 |
Compiled 56 to 43 computations (23.2% saved)
| Inputs |
|---|
1 |
(/.f64 -2 x) |
(+.f64 (*.f64 1/2 x) 1) |
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
(-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) |
(+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/4 (*.f64 x 1/8)))))) |
(/.f64 (expm1.f64 x) x) |
(/.f64 1 (/.f64 x (expm1.f64 x))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
2 calls:
| 5.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 (-.f64 (exp.f64 x) 1) x) |
Compiled 70 to 47 computations (32.9% saved)
| Inputs |
|---|
1 |
(/.f64 -2 x) |
(+.f64 (*.f64 1/2 x) 1) |
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
(-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 2 x)) |
(+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/4 (*.f64 x 1/8)))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 19.1b | 1 | x |
Compiled 41 to 31 computations (24.4% saved)
| Inputs |
|---|
1 |
(/.f64 -2 x) |
(+.f64 (*.f64 1/2 x) 1) |
| Outputs |
|---|
(/.f64 -2 x) |
(+.f64 (*.f64 1/2 x) 1) |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 19.0b | 2 | x |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -306504.78454278363 | -1.20610044438417e-15 |
| 18.0ms | 176× | body | 256 | valid |
Compiled 143 to 118 computations (17.5% saved)
Total -42.3b remaining (-220.8%)
Threshold costs -42.3b (-220.8%)
| Inputs |
|---|
1 |
(/.f64 -2 x) |
| Outputs |
|---|
(/.f64 -2 x) |
1 |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 19.2b | 2 | x |
Compiled 7 to 5 computations (28.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -306504.78454278363 | -1.20610044438417e-15 |
| 18.0ms | 176× | body | 256 | valid |
Compiled 99 to 85 computations (14.1% saved)
| 1× | egg-herbie |
| 4× | +-commutative |
| 4× | *-commutative |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 77 |
| 1 | 30 | 77 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
(if (<=.f64 x -3512807709348987/2251799813685248) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1)) |
(if (<=.f64 x -2) (/.f64 -2 x) 1) |
1 |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
(/.f64 1 (+.f64 1 (*.f64 x -1/2))) |
(if (<=.f64 x -3512807709348987/2251799813685248) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1)) |
(if (<=.f64 x -3512807709348987/2251799813685248) (/.f64 -2 x) (+.f64 1 (*.f64 x 1/2))) |
(if (<=.f64 x -2) (/.f64 -2 x) 1) |
1 |
Compiled 37 to 29 computations (21.6% saved)
| 1× | egg-herbie |
| 186× | fma-def |
| 78× | associate-*r* |
| 78× | associate--r+ |
| 70× | *-commutative |
| 66× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 17 | 11 |
| 2 | 20 | 11 |
| 3 | 24 | 11 |
| 4 | 33 | 11 |
| 5 | 43 | 11 |
| 6 | 62 | 11 |
| 7 | 118 | 11 |
| 8 | 179 | 11 |
| 9 | 263 | 11 |
| 10 | 400 | 11 |
| 11 | 589 | 11 |
| 12 | 667 | 11 |
| 13 | 709 | 11 |
| 1× | saturated |
Compiled 11 to 7 computations (36.4% saved)
Compiled 33 to 25 computations (24.2% saved)
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