Time bar (total: 2.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 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 |
|---|---|---|
| ▶ | 15.0b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 8 to 5 computations (37.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.0b | (/.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)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 2 | 47 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 45 | 3 | 48 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.0b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ▶ | 30.2b | (/.f64 1 x) |
| 32.1b | x |
Compiled 14 to 9 computations (35.7% saved)
Compiled 6 to 4 computations (33.3% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.0b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ✓ | 30.2b | (/.f64 1 x) |
| 32.1b | x |
Compiled 14 to 9 computations (35.7% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.0b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ✓ | 30.2b | (/.f64 1 x) |
| 32.1b | x |
Compiled 14 to 9 computations (35.7% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.0b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ✓ | 30.2b | (/.f64 1 x) |
| 32.1b | x |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
x |
(/.f64 1 x) |
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
(/.f64 1 x) |
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(/.f64 1 x) |
2 calls:
| 17.0ms | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0b | 3 | x |
| 0.1b | 3 | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 22 to 13 computations (40.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.2078869502073876e-9 | 2318408269.198578 |
| 16.0ms | -173069601330.86023 | -5042.908667255541 |
Compiled 12 to 8 computations (33.3% saved)
Total -60.6b remaining (-7389.1%)
Threshold costs -60.6b (-7389.1%)
| Inputs |
|---|
x |
(/.f64 1 x) |
| Outputs |
|---|
(/.f64 1 x) |
x |
(/.f64 1 x) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
Compiled 7 to 4 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.2078869502073876e-9 | 2318408269.198578 |
| 16.0ms | -2.9621526934651756 | -0.0018559628785769838 |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 52 |
| 1 | 21 | 52 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -1417786174102407/8192) (/.f64 1 x) (if (<=.f64 x 1334585770447955/604462909807314587353088) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x))) |
(if (<=.f64 x -3335087441626069/1125899906842624) (/.f64 1 x) (if (<=.f64 x 1334585770447955/604462909807314587353088) x (/.f64 1 x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -1417786174102407/8192) (/.f64 1 x) (if (<=.f64 x 1334585770447955/604462909807314587353088) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x))) |
(if (<=.f64 x -1417786174102407/8192) (/.f64 1 x) (if (<=.f64 x 1334585770447955/604462909807314587353088) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 1 x))) |
(if (<=.f64 x -3335087441626069/1125899906842624) (/.f64 1 x) (if (<=.f64 x 1334585770447955/604462909807314587353088) x (/.f64 1 x))) |
x |
Compiled 40 to 27 computations (32.5% saved)
Compiled 38 to 25 computations (34.2% saved)
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