Time bar (total: 1.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 25% | 75% | 0% | 3 |
| 62.5% | 37.5% | 0% | 4 |
| 81.2% | 18.7% | 0% | 5 |
| 90.6% | 9.4% | 0% | 6 |
| 95.3% | 4.7% | 0% | 7 |
| 97.6% | 2.3% | 0% | 8 |
| 98.8% | 1.2% | 0% | 9 |
| 99.4% | 0.6% | 0% | 10 |
| 99.7% | 0.3% | 0% | 11 |
| 99.8% | 0.1% | 0% | 12 |
Compiled 7 to 5 computations (28.6% saved)
| 941.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 11× | sub-neg_binary64 |
| 7× | +-commutative_binary64 |
| 6× | fma-def_binary64 |
| 4× | div-sub_binary64 |
| 3× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 9 | 7 |
| 2 | 13 | 7 |
| 3 | 19 | 7 |
| 4 | 27 | 7 |
| 5 | 37 | 7 |
| 6 | 50 | 7 |
| 7 | 68 | 7 |
| 8 | 81 | 7 |
| 9 | 84 | 7 |
| 10 | 85 | 7 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 x (-.f64 1 x)) |
| Outputs |
|---|
(/.f64 x (-.f64 1 x)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 11× | sub-neg_binary64 |
| 7× | +-commutative_binary64 |
| 6× | fma-def_binary64 |
| 4× | div-sub_binary64 |
| 3× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 9 | 7 |
| 2 | 13 | 7 |
| 3 | 19 | 7 |
| 4 | 27 | 7 |
| 5 | 37 | 7 |
| 6 | 50 | 7 |
| 7 | 68 | 7 |
| 8 | 81 | 7 |
| 9 | 84 | 7 |
| 10 | 85 | 7 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (-.f64 1 x)) |
| Outputs |
|---|
(/.f64 x (-.f64 1 x)) |
Compiled 6 to 4 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 x (-.f64 1 x)) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (-.f64 1 x)) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (-.f64 1 x)) |
| 1.0ms | x | @ | inf | (/.f64 x (-.f64 1 x)) |
| 1.0ms | x | @ | -inf | (/.f64 x (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 607× | pow1_binary64 |
| 568× | add-log-exp_binary64 |
| 568× | log1p-expm1-u_binary64 |
| 568× | expm1-log1p-u_binary64 |
| 557× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 108 | 7 |
| 2 | 1473 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 698× | fma-neg_binary64 |
| 597× | associate-/l*_binary64 |
| 562× | associate-*l*_binary64 |
| 478× | cancel-sign-sub-inv_binary64 |
| 445× | associate-*r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 150 |
| 1 | 76 | 132 |
| 2 | 220 | 125 |
| 3 | 597 | 125 |
| 4 | 1842 | 125 |
| 5 | 5601 | 113 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
| Outputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 x (*.f64 x (fma.f64 x x x))) |
(fma.f64 x (fma.f64 x x x) x) |
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x))) |
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4))) |
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4))) |
(*.f64 (fma.f64 x x 1) (fma.f64 x x x)) |
(*.f64 (fma.f64 x x x) (fma.f64 x x 1)) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(+.f64 -1 (neg.f64 (/.f64 1 x))) |
(-.f64 -1 (/.f64 1 x)) |
(+.f64 -1 (/.f64 -1 x)) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (-.f64 -1 (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (-.f64 -1 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(*.f64 (-.f64 1 (/.f64 -1 (*.f64 x x))) (+.f64 -1 (/.f64 -1 x))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(+.f64 -1 (neg.f64 (/.f64 1 x))) |
(-.f64 -1 (/.f64 1 x)) |
(+.f64 -1 (/.f64 -1 x)) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (-.f64 -1 (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (-.f64 -1 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(*.f64 (-.f64 1 (/.f64 -1 (*.f64 x x))) (+.f64 -1 (/.f64 -1 x))) |
Compiled 447 to 308 computations (31.1% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 3 | 46 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 43 | 4 | 47 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (pow.f64 (/.f64 (-.f64 1 x) x) -1) |
| 33.5b | -1 | |
| ✓ | 0.0b | (/.f64 x (-.f64 1 x)) |
| 29.6b | x |
Compiled 18 to 13 computations (27.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 x) x) |
| ✓ | 0.3b | (pow.f64 (/.f64 (-.f64 1 x) x) -1) |
Compiled 19 to 13 computations (31.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | -inf | (/.f64 (-.f64 1 x) x) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 (-.f64 1 x) x) -1) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) x) |
| 0.0ms | x | @ | -inf | (pow.f64 (/.f64 (-.f64 1 x) x) -1) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) x) |
| 1× | batch-egg-rewrite |
| 785× | pow1_binary64 |
| 740× | add-log-exp_binary64 |
| 738× | log1p-expm1-u_binary64 |
| 738× | expm1-log1p-u_binary64 |
| 724× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 152 | 14 |
| 2 | 2007 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (-.f64 1 x) x) -1) |
(/.f64 (-.f64 1 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1) (pow.f64 (pow.f64 x -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (pow.f64 x -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (-.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (-.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (pow.f64 x -1) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (-.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -1) -1))))))) |
| 1× | egg-herbie |
| 698× | fma-neg_binary64 |
| 606× | associate-/l*_binary64 |
| 559× | associate-*l*_binary64 |
| 470× | cancel-sign-sub-inv_binary64 |
| 445× | associate-*r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 219 |
| 1 | 78 | 201 |
| 2 | 223 | 194 |
| 3 | 601 | 194 |
| 4 | 1847 | 194 |
| 5 | 5585 | 182 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) 1) |
(-.f64 (/.f64 1 x) 1) |
(-.f64 (/.f64 1 x) 1) |
-1 |
(-.f64 (/.f64 1 x) 1) |
(-.f64 (/.f64 1 x) 1) |
(-.f64 (/.f64 1 x) 1) |
-1 |
(-.f64 (/.f64 1 x) 1) |
(-.f64 (/.f64 1 x) 1) |
(-.f64 (/.f64 1 x) 1) |
| Outputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 x (*.f64 x (fma.f64 x x x))) |
(fma.f64 x (fma.f64 x x x) x) |
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x))) |
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4))) |
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4))) |
(*.f64 (fma.f64 x x 1) (fma.f64 x x x)) |
(*.f64 (fma.f64 x x x) (fma.f64 x x 1)) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(+.f64 -1 (/.f64 -1 x)) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(-.f64 (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(*.f64 (-.f64 1 (/.f64 (/.f64 -1 x) x)) (+.f64 -1 (/.f64 -1 x))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(+.f64 -1 (/.f64 -1 x)) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(-.f64 (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(*.f64 (-.f64 1 (/.f64 (/.f64 -1 x) x)) (+.f64 -1 (/.f64 -1 x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(+.f64 -1 (/.f64 1 x)) |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(+.f64 -1 (/.f64 1 x)) |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(+.f64 -1 (/.f64 1 x)) |
-1 |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(+.f64 -1 (/.f64 1 x)) |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(+.f64 -1 (/.f64 1 x)) |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(+.f64 -1 (/.f64 1 x)) |
-1 |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(+.f64 -1 (/.f64 1 x)) |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(+.f64 -1 (/.f64 1 x)) |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(+.f64 -1 (/.f64 1 x)) |
Compiled 992 to 743 computations (25.1% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 91 | 1 | 92 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 92 | 4 | 96 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (/.f64 (-.f64 1 x) x) -1) |
| 33.5b | -1 | |
| 29.6b | x | |
| ✓ | 0.0b | (/.f64 x (-.f64 1 x)) |
Compiled 18 to 13 computations (27.8% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (/.f64 (-.f64 1 x) x) -1) |
| 33.5b | -1 | |
| 29.6b | x | |
| ✓ | 0.0b | (/.f64 x (-.f64 1 x)) |
Compiled 18 to 13 computations (27.8% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (/.f64 (-.f64 1 x) x) -1) |
| 33.5b | -1 | |
| 29.6b | x | |
| ✓ | 0.0b | (/.f64 x (-.f64 1 x)) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
-1 |
x |
(/.f64 x (-.f64 1 x)) |
(pow.f64 (/.f64 (-.f64 1 x) x) -1) |
| Outputs |
|---|
(/.f64 x (-.f64 1 x)) |
2 calls:
| 5.0ms | x |
| 3.0ms | (/.f64 x (-.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 x (-.f64 1 x)) |
Compiled 24 to 15 computations (37.5% saved)
Total -60.4b remaining (-4423.3%)
Threshold costs -60.4b (-4423.3%)
| Inputs |
|---|
x |
-1 |
x |
| Outputs |
|---|
-1 |
x |
-1 |
1 calls:
| 43.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.4b | 3 | x |
Compiled 6 to 3 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.0683805937586775e-16 | 8144.012145380563 |
| 17.0ms | -2737.7937741464616 | -0.9858516138848535 |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 23 |
| 1 | 17 | 23 |
| 2 | 20 | 23 |
| 3 | 22 | 23 |
| 4 | 23 | 23 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (-.f64 1 x)) |
(if (<=.f64 x -6020472178253549/2199023255552) -1 (if (<=.f64 x 8390348483771549/40564819207303340847894502572032) x -1)) |
x |
| Outputs |
|---|
(/.f64 x (-.f64 1 x)) |
(if (<=.f64 x -6020472178253549/2199023255552) -1 (if (<=.f64 x 8390348483771549/40564819207303340847894502572032) x -1)) |
x |
Compiled 20 to 14 computations (30% saved)
Compiled 18 to 12 computations (33.3% saved)
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