Time bar (total: 4.0s)
| 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 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 9 to 6 computations (33.3% saved)
| 1.6s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 10 | 8 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x x 1)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 10 | 8 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x x 1)) |
Compiled 14 to 8 computations (42.9% 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 |
|---|---|---|
| ▶ | 15.9b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 8 to 5 computations (37.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 18 to 8 computations (55.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| 1× | batch-egg-rewrite |
| 668× | pow1_binary64 |
| 626× | add-log-exp_binary64 |
| 626× | log1p-expm1-u_binary64 |
| 626× | expm1-log1p-u_binary64 |
| 612× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 130 | 8 |
| 2 | 1749 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1)))))))) |
| 1× | egg-herbie |
| 475× | fma-def_binary64 |
| 420× | times-frac_binary64 |
| 302× | associate-/l/_binary64 |
| 289× | distribute-rgt-neg-in_binary64 |
| 267× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 184 |
| 1 | 75 | 180 |
| 2 | 197 | 180 |
| 3 | 547 | 180 |
| 4 | 1462 | 180 |
| 5 | 4021 | 180 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5)) |
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3))) |
(+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 5) (pow.f64 x 7))) |
(+.f64 (pow.f64 x 5) (-.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) |
Compiled 531 to 358 computations (32.6% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 4 | 47 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 43 | 5 | 48 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ▶ | 24.7b | (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
| ▶ | 33.6b | (-.f64 x (pow.f64 x 3)) |
| 32.5b | x | |
| ▶ | 29.7b | (/.f64 1 x) |
Compiled 33 to 22 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.2b | (/.f64 x (+.f64 (pow.f64 x 4) -1)) |
| ✓ | 22.1b | (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
Compiled 35 to 24 computations (31.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (+.f64 (pow.f64 x 4) -1)) |
| 1.0ms | x | @ | -inf | (/.f64 x (+.f64 (pow.f64 x 4) -1)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 (pow.f64 x 4) -1)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
| 1× | batch-egg-rewrite |
| 460× | log-prod_binary64 |
| 354× | prod-exp_binary64 |
| 354× | exp-prod_binary64 |
| 290× | pow-prod-down_binary64 |
| 251× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 199 | 27 |
| 2 | 2595 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
(/.f64 x (+.f64 (pow.f64 x 4) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 x 4) -1))) (*.f64 -1 (/.f64 x (+.f64 (pow.f64 x 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 (pow.f64 x 4) -1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 (pow.f64 x 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 (pow.f64 x 4) -1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 (pow.f64 x 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (+.f64 (pow.f64 x 4) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) -1) (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (pow.f64 x 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 x x -1))) (+.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) 1) (+.f64 (pow.f64 x 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 x x -1)) (+.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (+.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x 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-1)) (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (fma.f64 x x -1))) (*.f64 (log.f64 (+.f64 (pow.f64 x 4) -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 1) (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) (*.f64 (log.f64 (fma.f64 x x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 1) (*.f64 (log.f64 (fma.f64 x x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x x -1)) (*.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) (*.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (*.f64 x x) (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 x 4) -1)) (*.f64 -1 (/.f64 x (+.f64 (pow.f64 x 4) -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (pow.f64 x 4) -1))))))) (#(struct:change #<rule egg-rr> (2) 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(pow.f64 x 8) -1)) (+.f64 (pow.f64 x 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (pow.f64 x 4) -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 1 (neg.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (pow.f64 x 4) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -1) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (+.f64 (pow.f64 x 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (+.f64 (pow.f64 x 4) -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (+.f64 (pow.f64 x 4) -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (+.f64 (pow.f64 x 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (+.f64 (pow.f64 x 4) -1))) (*.f64 (log.f64 x) 1))))))) |
| 1× | egg-herbie |
| 768× | fma-neg_binary64 |
| 622× | associate-*l*_binary64 |
| 567× | cancel-sign-sub-inv_binary64 |
| 420× | times-frac_binary64 |
| 412× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 402 |
| 1 | 136 | 392 |
| 2 | 374 | 392 |
| 3 | 1135 | 392 |
| 4 | 3277 | 392 |
| 5 | 7634 | 392 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 (pow.f64 x 5)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 9)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1 (pow.f64 x 13)) (+.f64 (*.f64 -1 (pow.f64 x 9)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (*.f64 -1 x)))) |
(/.f64 1 (pow.f64 x 3)) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11)))) |
(+.f64 (/.f64 1 (pow.f64 x 15)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11))))) |
(/.f64 1 (pow.f64 x 3)) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11)))) |
(+.f64 (/.f64 1 (pow.f64 x 15)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5)) |
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3))) |
(+.f64 (-.f64 x (pow.f64 x 7)) (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 x (-.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (pow.f64 x 3)))) |
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) (pow.f64 x 7))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 (pow.f64 x 5)) (*.f64 -1 x)) |
(*.f64 -1 (+.f64 x (pow.f64 x 5))) |
(-.f64 (neg.f64 x) (pow.f64 x 5)) |
(+.f64 (*.f64 -1 (pow.f64 x 9)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (*.f64 -1 x))) |
(fma.f64 -1 (pow.f64 x 9) (*.f64 -1 (+.f64 x (pow.f64 x 5)))) |
(-.f64 (-.f64 (neg.f64 x) (pow.f64 x 5)) (pow.f64 x 9)) |
(-.f64 (neg.f64 x) (+.f64 (pow.f64 x 5) (pow.f64 x 9))) |
(+.f64 (*.f64 -1 (pow.f64 x 13)) (+.f64 (*.f64 -1 (pow.f64 x 9)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (*.f64 -1 x)))) |
(fma.f64 -1 (pow.f64 x 13) (fma.f64 -1 (pow.f64 x 9) (*.f64 -1 (+.f64 x (pow.f64 x 5))))) |
(-.f64 (-.f64 (-.f64 (neg.f64 x) (pow.f64 x 5)) (pow.f64 x 9)) (pow.f64 x 13)) |
(-.f64 (-.f64 (neg.f64 x) (pow.f64 x 5)) (+.f64 (pow.f64 x 9) (pow.f64 x 13))) |
(-.f64 (neg.f64 (pow.f64 x 5)) (+.f64 (+.f64 x (pow.f64 x 13)) (pow.f64 x 9))) |
(/.f64 1 (pow.f64 x 3)) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))) |
(-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11)))) |
(+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 11)))) |
(+.f64 (/.f64 1 (pow.f64 x 15)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11)))) (/.f64 1 (pow.f64 x 15))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 (pow.f64 x 11)) (/.f64 1 (pow.f64 x 15)))) |
(+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 11)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 15))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 11)) (/.f64 1 (pow.f64 x 15))))) |
(/.f64 1 (pow.f64 x 3)) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))) |
(-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11)))) |
(+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 11)))) |
(+.f64 (/.f64 1 (pow.f64 x 15)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 11)))) (/.f64 1 (pow.f64 x 15))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 (pow.f64 x 11)) (/.f64 1 (pow.f64 x 15)))) |
(+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 11)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 15))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 11)) (/.f64 1 (pow.f64 x 15))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (pow.f64 x 3)) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 x (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (-.f64 x (pow.f64 x 3)) |
| 1.0ms | x | @ | 0 | (-.f64 x (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 582× | pow1_binary64 |
| 549× | add-log-exp_binary64 |
| 549× | log1p-expm1-u_binary64 |
| 549× | expm1-log1p-u_binary64 |
| 537× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 118 | 7 |
| 2 | 1497 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (pow.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 912× | fma-neg_binary64 |
| 469× | distribute-rgt-neg-in_binary64 |
| 457× | associate-*l*_binary64 |
| 383× | fma-def_binary64 |
| 362× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 85 |
| 1 | 19 | 76 |
| 2 | 49 | 76 |
| 3 | 97 | 76 |
| 4 | 191 | 76 |
| 5 | 536 | 76 |
| 6 | 1869 | 76 |
| 7 | 3430 | 76 |
| 8 | 5455 | 76 |
| 9 | 7275 | 76 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(pow.f64 (neg.f64 x) 3) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(pow.f64 (neg.f64 x) 3) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 2692 to 1943 computations (27.8% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 2 | 172 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 172 | 5 | 177 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ✓ | 24.7b | (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
| ▶ | 33.6b | (*.f64 x (-.f64 1 (*.f64 x x))) |
| 32.5b | x | |
| ✓ | 29.7b | (/.f64 1 x) |
Compiled 35 to 23 computations (34.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (*.f64 x x)) |
| ✓ | 0.0b | (*.f64 x (-.f64 1 (*.f64 x x))) |
Compiled 18 to 8 computations (55.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (*.f64 x (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (*.f64 x (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | -inf | (*.f64 x (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (-.f64 1 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 614× | pow1_binary64 |
| 574× | add-log-exp_binary64 |
| 573× | log1p-expm1-u_binary64 |
| 573× | expm1-log1p-u_binary64 |
| 562× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 126 | 17 |
| 2 | 1599 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 1 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) x) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))))) |
| 1× | egg-herbie |
| 648× | difference-of-squares_binary64 |
| 540× | distribute-rgt-neg-in_binary64 |
| 536× | unswap-sqr_binary64 |
| 404× | associate-*l*_binary64 |
| 312× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 179 |
| 1 | 32 | 152 |
| 2 | 70 | 152 |
| 3 | 162 | 152 |
| 4 | 462 | 152 |
| 5 | 1899 | 152 |
| 6 | 5238 | 152 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
Compiled 605 to 348 computations (42.5% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 55 | 0 | 55 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 55 | 5 | 60 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ✓ | 24.7b | (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
| ✓ | 33.6b | (*.f64 x (-.f64 1 (*.f64 x x))) |
| 32.5b | x | |
| ✓ | 29.7b | (/.f64 1 x) |
Compiled 35 to 23 computations (34.3% saved)
Compiled 1 to 1 computations (0% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 4 | 4 |
| Total | 0 | 5 | 5 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ✓ | 24.7b | (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
| ✓ | 33.6b | (*.f64 x (-.f64 1 (*.f64 x x))) |
| 32.5b | x | |
| ✓ | 29.7b | (/.f64 1 x) |
Compiled 35 to 23 computations (34.3% saved)
| Inputs |
|---|
x |
x |
(/.f64 1 x) |
(*.f64 x (-.f64 1 (*.f64 x x))) |
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(-.f64 x (pow.f64 x 3)) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
| Outputs |
|---|
(/.f64 1 x) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
(/.f64 1 x) |
2 calls:
| 46.0ms | x |
| 25.0ms | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 3 | x |
| 0.1b | 3 | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 47 to 27 computations (42.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 23.744287494643725 | 1921535020.687301 |
| 118.0ms | -3.1712206825566497e+38 | -5.848437126114166e+20 |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
x |
x |
(/.f64 1 x) |
(*.f64 x (-.f64 1 (*.f64 x x))) |
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(-.f64 x (pow.f64 x 3)) |
| Outputs |
|---|
(/.f64 1 x) |
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(/.f64 1 x) |
2 calls:
| 49.0ms | x |
| 24.0ms | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.1b | 3 | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 35 to 19 computations (45.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 23.744287494643725 | 1921535020.687301 |
| 26.0ms | -2.9227707933154306e+39 | -3.1712206825566497e+38 |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
x |
x |
(/.f64 1 x) |
(*.f64 x (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(/.f64 1 x) |
(*.f64 x (-.f64 1 (*.f64 x x))) |
(/.f64 1 x) |
1 calls:
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
Compiled 15 to 8 computations (46.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 1.9528963858121105e-8 | 1.521228129001963 |
| 28.0ms | -4279664386679.3286 | -4.217355735732614e-10 |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
x |
x |
(/.f64 1 x) |
| Outputs |
|---|
(/.f64 1 x) |
x |
(/.f64 1 x) |
1 calls:
| 127.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
Compiled 8 to 4 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.9528963858121105e-8 | 1.521228129001963 |
| 29.0ms | -4279664386679.3286 | -4.217355735732614e-10 |
Compiled 12 to 8 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
x |
x |
| Outputs |
|---|
x |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.5b | 1 | x |
Compiled 5 to 2 computations (60% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 119 |
| 1 | 46 | 119 |
| 2 | 52 | 119 |
| 3 | 56 | 119 |
| 4 | 58 | 119 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -317122068255664967087209049821496213504) (/.f64 1 x) (if (<=.f64 x 6683422769565963/281474976710656) (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) (/.f64 1 x))) |
(if (<=.f64 x -2922770793315430565230299198524850438144) (/.f64 1 x) (if (<=.f64 x 6683422769565963/281474976710656) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x))) |
(if (<=.f64 x -8764752663919265/2048) (/.f64 1 x) (if (<=.f64 x 2951133579800441/151115727451828646838272) (*.f64 x (-.f64 1 (*.f64 x x))) (/.f64 1 x))) |
(if (<=.f64 x -8764752663919265/2048) (/.f64 1 x) (if (<=.f64 x 2951133579800441/151115727451828646838272) x (/.f64 1 x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -317122068255664967087209049821496213504) (/.f64 1 x) (if (<=.f64 x 6683422769565963/281474976710656) (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) (/.f64 1 x))) |
(if (<=.f64 x -2922770793315430565230299198524850438144) (/.f64 1 x) (if (<=.f64 x 6683422769565963/281474976710656) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x))) |
(if (<=.f64 x -2922770793315430565230299198524850438144) (/.f64 1 x) (if (<=.f64 x 6683422769565963/281474976710656) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 1 x))) |
(if (<=.f64 x -8764752663919265/2048) (/.f64 1 x) (if (<=.f64 x 2951133579800441/151115727451828646838272) (*.f64 x (-.f64 1 (*.f64 x x))) (/.f64 1 x))) |
(if (<=.f64 x -8764752663919265/2048) (/.f64 1 x) (if (<=.f64 x 2951133579800441/151115727451828646838272) x (/.f64 1 x))) |
x |
Compiled 89 to 61 computations (31.5% saved)
Compiled 85 to 56 computations (34.1% saved)
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