Time bar (total: 3.2s)
| 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)
| 630.0ms | 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)) |
| 0.0ms | 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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 6 | 46 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 40 | 7 | 47 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (-.f64 1 x)) |
| ▶ | 33.8b | (fma.f64 x x x) |
| ▶ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) x) |
| 30.5b | -1 | |
| ▶ | 57.1b | (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3) |
| ▶ | 15.1b | (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
| 33.3b | x |
Compiled 45 to 31 computations (31.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 1 x)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) x) |
Compiled 18 to 13 computations (27.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (-.f64 1 x)) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (-.f64 1 x)) x) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 666× | pow1_binary64 |
| 621× | add-log-exp_binary64 |
| 621× | log1p-expm1-u_binary64 |
| 621× | expm1-log1p-u_binary64 |
| 609× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 1 | 130 | 14 |
| 2 | 1694 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 1 x)) x) |
(/.f64 1 (-.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 1 (/.f64 (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.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 (/.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 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) (pow.f64 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 (+.f64 1 (/.f64 1 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))))) |
| 1× | egg-herbie |
| 774× | fma-neg_binary64 |
| 535× | associate-*l*_binary64 |
| 445× | fma-def_binary64 |
| 443× | associate-*r*_binary64 |
| 425× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 333 |
| 1 | 112 | 299 |
| 2 | 345 | 290 |
| 3 | 1021 | 289 |
| 4 | 2833 | 289 |
| 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)))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (pow.f64 x 2) x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
| 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 (fma.f64 x x x) (pow.f64 x 3)) |
(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 (fma.f64 x x x) (pow.f64 x 3)) (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)))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))) |
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (/.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 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.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 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 -1 (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
-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)))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))) |
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) |
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (/.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 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.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 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 -1 (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) x)) |
(+.f64 (+.f64 x (*.f64 x x)) 1) |
(+.f64 (fma.f64 x x x) 1) |
(+.f64 x (fma.f64 x x 1)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))) |
(+.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))) 1) |
(+.f64 (+.f64 (fma.f64 x x x) (pow.f64 x 3)) 1) |
(+.f64 (fma.f64 x (fma.f64 x x x) x) 1) |
(*.f64 (+.f64 x 1) (fma.f64 x x 1)) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
| ✓ | 14.5b | (/.f64 x (-.f64 1 (*.f64 x x))) |
Compiled 32 to 16 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | inf | (/.f64 x (-.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (/.f64 x (-.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 677× | prod-diff_binary64 |
| 467× | log-prod_binary64 |
| 334× | pow-prod-down_binary64 |
| 298× | fma-def_binary64 |
| 240× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 187 | 17 |
| 2 | 2821 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (pow.f64 (-.f64 (/.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (*.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) -2) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))))) (#(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 (/.f64 1 x) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 1 x) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.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 (neg.f64 (log.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 x) x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x 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x)))))))) |
| 1× | egg-herbie |
| 671× | associate-*l*_binary64 |
| 623× | fma-neg_binary64 |
| 572× | fma-def_binary64 |
| 540× | associate-*r*_binary64 |
| 390× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 342 |
| 1 | 132 | 312 |
| 2 | 399 | 303 |
| 3 | 1155 | 303 |
| 4 | 3304 | 303 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (pow.f64 x 3) x) |
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))) |
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 3) x) |
(+.f64 x (pow.f64 x 3)) |
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 5)) |
(+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) |
(fma.f64 (fma.f64 x x 1) x (pow.f64 x 5)) |
(fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) |
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x))) |
(+.f64 (pow.f64 x 5) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 7))) |
(+.f64 (pow.f64 x 5) (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 7)))) |
(+.f64 (pow.f64 x 5) (fma.f64 (fma.f64 x x 1) x (pow.f64 x 7))) |
(+.f64 (pow.f64 x 5) (fma.f64 x (fma.f64 x x 1) (pow.f64 x 7))) |
(fma.f64 x (fma.f64 x x 1) (+.f64 (pow.f64 x 5) (pow.f64 x 7))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 5)))) |
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5)))) |
(-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) (/.f64 -1 (pow.f64 x 7))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 5)))) |
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5)))) |
(-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) (/.f64 -1 (pow.f64 x 7))) |
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 (pow.f64 x 3)) (*.f64 x x)) |
(+.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)))) |
(+.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 (/.f64 -1 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 1 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(+.f64 (+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 3)))) |
-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)))) |
(+.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 (/.f64 -1 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 1 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(+.f64 (+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 3)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (-.f64 1 x)) | |
| ✓ | 0.1b | (pow.f64 (/.f64 x (-.f64 1 x)) 3) |
| ✓ | 19.9b | (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3) |
| 1.0ms | x | @ | -inf | (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3) |
| 0.0ms | x | @ | 0 | (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3) |
| 0.0ms | x | @ | inf | (pow.f64 (/.f64 x (-.f64 1 x)) 3) |
| 0.0ms | x | @ | 0 | (pow.f64 (/.f64 x (-.f64 1 x)) 3) |
| 1× | batch-egg-rewrite |
| 866× | pow1_binary64 |
| 822× | add-log-exp_binary64 |
| 821× | log1p-expm1-u_binary64 |
| 821× | expm1-log1p-u_binary64 |
| 804× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 207 | 17 |
| 2 | 2250 | 17 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3) |
(pow.f64 (/.f64 x (-.f64 1 x)) 3) |
| 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 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1/3))))) (#(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 (pow.f64 1 1/3) (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1/3) (cbrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3/2) 1/3))))) (#(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 /.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.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 -1 (neg.f64 (/.f64 (-.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 1 x))))))) (#(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 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x (-.f64 1 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 x (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 x)) (pow.f64 (/.f64 x (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (/.f64 x (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (/.f64 x (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3/2) (pow.f64 (/.f64 x (-.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) 3) (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1) (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (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 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (sqrt.f64 (/.f64 x (-.f64 1 x)))) (sqrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (-.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (/.f64 (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (neg.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1) (/.f64 (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (neg.f64 x)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 x (-.f64 1 x))))))))) |
| 1× | egg-herbie |
| 444× | div-sub_binary64 |
| 376× | associate-/l/_binary64 |
| 368× | fma-neg_binary64 |
| 347× | fma-def_binary64 |
| 276× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 604 |
| 1 | 253 | 540 |
| 2 | 899 | 533 |
| 3 | 3906 | 513 |
| 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))) |
(cbrt.f64 -1) |
(+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x)))) |
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))))) |
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 10 (*.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x)))))) |
(cbrt.f64 -1) |
(+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x)))) |
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))))) |
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 10 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x)))))) |
(pow.f64 x 3) |
(+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 3)) |
(+.f64 (*.f64 6 (pow.f64 x 5)) (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 3))) |
(+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 (*.f64 6 (pow.f64 x 5)) (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 3)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 1 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 1 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))) |
| 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 (fma.f64 x x x) (pow.f64 x 3)) |
(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)) |
(cbrt.f64 -1) |
(+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x)))) |
(+.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)))) |
(-.f64 (cbrt.f64 -1) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))))) |
(fma.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x))))) |
(-.f64 (fma.f64 -1/3 (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x)) |
(-.f64 (fma.f64 (/.f64 -1/3 (*.f64 x x)) (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x)) |
(fma.f64 -1/3 (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (cbrt.f64 -1) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x))) |
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 10 (*.f64 2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x)))))) |
(fma.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (/.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 10) (*.f64 (*.f64 2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 6 (*.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)))))) |
(fma.f64 -1/3 (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (-.f64 (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (*.f64 2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) 10)) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x))) |
(fma.f64 1/3 (/.f64 (+.f64 (fma.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) -2) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) -10) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (fma.f64 (/.f64 -1/3 (*.f64 x x)) (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x))) |
(+.f64 (-.f64 (cbrt.f64 -1) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x)) (*.f64 (/.f64 -1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (/.f64 (+.f64 10 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 2 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6)) (/.f64 -1 (pow.f64 (cbrt.f64 -1) 2)))) x)))) |
(cbrt.f64 -1) |
(+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x)))) |
(+.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)))) |
(-.f64 (cbrt.f64 -1) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))))) |
(fma.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x))))) |
(-.f64 (fma.f64 -1/3 (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x)) |
(-.f64 (fma.f64 (/.f64 -1/3 (*.f64 x x)) (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x)) |
(fma.f64 -1/3 (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (cbrt.f64 -1) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x))) |
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 10 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 6 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (+.f64 (cbrt.f64 -1) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x)))))) |
(fma.f64 -1/3 (/.f64 (+.f64 6 (*.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (/.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 10) (*.f64 (*.f64 2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 6 (*.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (cbrt.f64 -1) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)))))) |
(fma.f64 -1/3 (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (-.f64 (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (*.f64 2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) 10)) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x))) |
(fma.f64 1/3 (/.f64 (+.f64 (fma.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) -2) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) -10) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (fma.f64 (/.f64 -1/3 (*.f64 x x)) (/.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x))) |
(+.f64 (-.f64 (cbrt.f64 -1) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x)) (*.f64 (/.f64 -1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6) (/.f64 (+.f64 10 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 2 (fma.f64 3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 6)) (/.f64 -1 (pow.f64 (cbrt.f64 -1) 2)))) x)))) |
(pow.f64 x 3) |
(+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 3)) |
(fma.f64 3 (pow.f64 x 4) (pow.f64 x 3)) |
(+.f64 (*.f64 6 (pow.f64 x 5)) (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 3))) |
(fma.f64 6 (pow.f64 x 5) (fma.f64 3 (pow.f64 x 4) (pow.f64 x 3))) |
(fma.f64 3 (pow.f64 x 4) (fma.f64 6 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 (*.f64 6 (pow.f64 x 5)) (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 3)))) |
(fma.f64 10 (pow.f64 x 6) (fma.f64 6 (pow.f64 x 5) (fma.f64 3 (pow.f64 x 4) (pow.f64 x 3)))) |
(fma.f64 6 (pow.f64 x 5) (fma.f64 10 (pow.f64 x 6) (fma.f64 3 (pow.f64 x 4) (pow.f64 x 3)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 3 x))) |
(+.f64 -1 (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 1 (/.f64 6 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -3 x)) (/.f64 6 (*.f64 x x))) |
(+.f64 -1 (-.f64 (/.f64 -6 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (+.f64 -1 (/.f64 -3 x)) (/.f64 -6 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 1 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 3 x)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 10 (pow.f64 x 3))))) |
(-.f64 (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 10 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -6 (*.f64 x x)) (+.f64 1 (/.f64 10 (pow.f64 x 3))))) |
(+.f64 (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -6 (*.f64 x x)) (/.f64 -10 (pow.f64 x 3)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 3 x))) |
(+.f64 -1 (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 1 (/.f64 6 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -3 x)) (/.f64 6 (*.f64 x x))) |
(+.f64 -1 (-.f64 (/.f64 -6 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (+.f64 -1 (/.f64 -3 x)) (/.f64 -6 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 1 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 3 x)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 10 (pow.f64 x 3))))) |
(-.f64 (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 10 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -6 (*.f64 x x)) (+.f64 1 (/.f64 10 (pow.f64 x 3))))) |
(+.f64 (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -6 (*.f64 x x)) (/.f64 -10 (pow.f64 x 3)))) |
Compiled 6 to 2 computations (66.7% saved)
Compiled 5505 to 3840 computations (30.2% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 379 | 5 | 384 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 383 | 8 | 391 |
| Status | Error | Program |
|---|---|---|
| 30.5b | -1 | |
| 33.3b | x | |
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) x) |
| ▶ | 0.0b | (+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))) |
| ✓ | 0.0b | (/.f64 x (-.f64 1 x)) |
| ✓ | 15.1b | (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
| ▶ | 33.8b | (*.f64 (+.f64 x 1) x) |
| ▶ | 15.5b | (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) |
Compiled 63 to 41 computations (34.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x 1) x) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (+.f64 x 1) x) |
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 x 1) x) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 x 1) x) |
| 1× | batch-egg-rewrite |
| 502× | pow1_binary64 |
| 487× | add-sqr-sqrt_binary64 |
| 468× | log1p-expm1-u_binary64 |
| 468× | expm1-log1p-u_binary64 |
| 467× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 103 | 7 |
| 2 | 1303 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 x))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 739× | fma-def_binary64 |
| 572× | cube-prod_binary64 |
| 564× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 72 |
| 1 | 11 | 54 |
| 2 | 22 | 54 |
| 3 | 39 | 54 |
| 4 | 89 | 54 |
| 5 | 273 | 54 |
| 6 | 952 | 54 |
| 7 | 2125 | 54 |
| 8 | 2540 | 54 |
| 9 | 2755 | 54 |
| 10 | 2993 | 54 |
| 11 | 3354 | 54 |
| 12 | 3788 | 54 |
| 13 | 4290 | 54 |
| 14 | 4876 | 54 |
| 15 | 5599 | 54 |
| 16 | 6448 | 54 |
| 17 | 6840 | 54 |
| 18 | 7132 | 54 |
| 19 | 7413 | 54 |
| 20 | 7489 | 54 |
| 21 | 7525 | 54 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
| Outputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))) |
| ✓ | 0.0b | (-.f64 (/.f64 1 x) x) |
| ✓ | 0.0b | (/.f64 x (-.f64 (/.f64 1 x) x)) |
| 14.5b | (/.f64 x (-.f64 1 (*.f64 x x))) |
Compiled 48 to 25 computations (47.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 x (-.f64 (/.f64 1 x) x)) |
| 1.0ms | x | @ | 0 | (/.f64 x (-.f64 (/.f64 1 x) x)) |
| 0.0ms | x | @ | inf | (/.f64 x (-.f64 (/.f64 1 x) x)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 1 x) x) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 683× | fma-def_binary64 |
| 625× | log-prod_binary64 |
| 316× | fma-neg_binary64 |
| 296× | log-div_binary64 |
| 218× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 246 | 39 |
| 2 | 4116 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 (/.f64 1 x) x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 2) (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (/.f64 x (cbrt.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (sqrt.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (pow.f64 x -2) (*.f64 x x))) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (pow.f64 x -2) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x -2) 1))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 x) x)))))))) 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(pow.f64 x -3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (pow.f64 x -2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3) (pow.f64 x 3)) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 x x)) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x 1)) (-.f64 (pow.f64 x -3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (pow.f64 x -2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule 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1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1 (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1 (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 2) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) 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(sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change 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(cbrt.f64 (*.f64 x x)) (sqrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 x -2) (*.f64 x x))) (+.f64 x (/.f64 1 x)) (/.f64 x (-.f64 1 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 846× | times-frac_binary64 |
| 802× | fma-def_binary64 |
| 747× | unswap-sqr_binary64 |
| 560× | fma-neg_binary64 |
| 304× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 412 |
| 1 | 131 | 367 |
| 2 | 399 | 360 |
| 3 | 1262 | 355 |
| 4 | 4700 | 355 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 4) (pow.f64 x 2)) |
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6))) |
(+.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6)))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))) |
(/.f64 1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
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 |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 4) (pow.f64 x 2)) |
(+.f64 (*.f64 x x) (pow.f64 x 4)) |
(fma.f64 x x (pow.f64 x 4)) |
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6))) |
(+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) (pow.f64 x 6))) |
(+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) |
(+.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6)))) |
(+.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) (pow.f64 x 6))) (pow.f64 x 8)) |
(+.f64 (pow.f64 x 4) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 8))) |
(*.f64 (fma.f64 x x 1) (fma.f64 x x (pow.f64 x 6))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 1 (/.f64 1 (*.f64 x x)))) |
(-.f64 -1 (/.f64 1 (*.f64 x x))) |
(+.f64 -1 (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 -1 (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 6)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 -1 (/.f64 -1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 1 (/.f64 1 (*.f64 x x)))) |
(-.f64 -1 (/.f64 1 (*.f64 x x))) |
(+.f64 -1 (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 -1 (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 6)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 -1 (/.f64 -1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
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 (fma.f64 x x (pow.f64 x 3))) |
(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 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(+.f64 (pow.f64 x 4) (+.f64 x (fma.f64 x x (pow.f64 x 3)))) |
(*.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)) |
(-.f64 -1 (/.f64 1 x)) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))) |
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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 1 (+.f64 (/.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 (*.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))))) |
-1 |
(neg.f64 (+.f64 1 (/.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)))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))) |
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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 1 (+.f64 (/.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 (*.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))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.4b | (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) |
Compiled 25 to 9 computations (64% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) |
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 809× | pow1_binary64 |
| 756× | add-log-exp_binary64 |
| 755× | log1p-expm1-u_binary64 |
| 755× | expm1-log1p-u_binary64 |
| 740× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 152 | 14 |
| 2 | 2051 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (*.f64 (cbrt.f64 (fma.f64 x x x)) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) (*.f64 (hypot.f64 x (sqrt.f64 x)) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x x)) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x x)) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 x)) 1) (/.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (fma.f64 x x x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (hypot.f64 x (sqrt.f64 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (fma.f64 x x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x 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 (fma.f64 x x x) (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x x) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x 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 8050 to 4628 computations (42.5% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 3 | 392 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 393 | 7 | 400 |
| Status | Error | Program |
|---|---|---|
| 33.3b | x | |
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) x) |
| ▶ | 29.8b | (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) x)) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x))) |
| ▶ | 33.8b | (+.f64 (*.f64 x x) x) |
| ✓ | 0.0b | (/.f64 x (-.f64 1 x)) |
| ✓ | 15.1b | (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
| 30.5b | -1 |
Compiled 66 to 42 computations (36.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x x) x) |
Compiled 10 to 3 computations (70% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x x) x) |
| 1× | batch-egg-rewrite |
| 500× | pow1_binary64 |
| 488× | add-sqr-sqrt_binary64 |
| 472× | add-log-exp_binary64 |
| 471× | log1p-expm1-u_binary64 |
| 471× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 5 |
| 1 | 92 | 5 |
| 2 | 1367 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x)))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 739× | fma-def_binary64 |
| 572× | cube-prod_binary64 |
| 564× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 72 |
| 1 | 11 | 54 |
| 2 | 22 | 54 |
| 3 | 39 | 54 |
| 4 | 89 | 54 |
| 5 | 273 | 54 |
| 6 | 952 | 54 |
| 7 | 2125 | 54 |
| 8 | 2540 | 54 |
| 9 | 2755 | 54 |
| 10 | 2993 | 54 |
| 11 | 3354 | 54 |
| 12 | 3788 | 54 |
| 13 | 4290 | 54 |
| 14 | 4876 | 54 |
| 15 | 5599 | 54 |
| 16 | 6448 | 54 |
| 17 | 6840 | 54 |
| 18 | 7132 | 54 |
| 19 | 7413 | 54 |
| 20 | 7489 | 54 |
| 21 | 7525 | 54 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
| Outputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) x) |
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x)) |
| ✓ | 14.5b | (/.f64 (-.f64 1 (*.f64 x x)) x) |
| ✓ | 29.7b | (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) x)) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x))) |
Compiled 92 to 48 computations (47.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 x x)) x) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x)) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) x)) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 x x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) x)) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x))) |
| 1× | batch-egg-rewrite |
| 874× | fma-def_binary64 |
| 415× | fma-neg_binary64 |
| 330× | log-div_binary64 |
| 214× | expm1-udef_binary64 |
| 213× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 85 |
| 1 | 291 | 52 |
| 2 | 5253 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) x)) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x))) |
(/.f64 (-.f64 1 (*.f64 x x)) x) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x)) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 x) (pow.f64 (-.f64 (/.f64 1 x) x) 2)) (/.f64 (-.f64 x (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 (-.f64 (/.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)) 2)) (cbrt.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (-.f64 (/.f64 1 x) x)) (/.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (*.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 x) x) 2)) (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) x)) (/.f64 1 (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) 1) (/.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) 2) (-.f64 (/.f64 1 x) x)) (/.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) x)) 2) 2)) (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) x)) 2) 2)) (cbrt.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) x)) 2) 2)) (/.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) x)) (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 x) x)) (-.f64 (pow.f64 x -2) (*.f64 x x))) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) (-.f64 (/.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2) (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (neg.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) 3) (pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 (/.f64 1 x) x) 2))))))) 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((#(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 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (/.f64 (pow.f64 x 6) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 (pow.f64 x 4) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (fma.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 (fma.f64 x x 1)))))) (#(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 /.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 x 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 (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 pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)))) (#(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 log.f64 (+.f64 1 (expm1.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (*.f64 x (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1))))) |
| 1× | egg-herbie |
| 1032× | fma-neg_binary64 |
| 634× | associate-*l*_binary64 |
| 582× | cancel-sign-sub-inv_binary64 |
| 496× | associate-*r*_binary64 |
| 366× | fma-def_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 461 |
| 1 | 98 | 400 |
| 2 | 260 | 393 |
| 3 | 666 | 393 |
| 4 | 2008 | 393 |
| 5 | 6129 | 389 |
| 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) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) 2) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 2) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 2) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
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 (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 (fma.f64 x x x) (pow.f64 x 3)) |
(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)) |
(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)))) |
(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 (*.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 -1 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (*.f64 x 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 -1 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 x)) -1)) |
-1 |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(+.f64 -1 (neg.f64 (/.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)))) |
(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 (*.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 -1 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (*.f64 x 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 -1 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 x)) -1)) |
(/.f64 1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(-.f64 (/.f64 1 x) x) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) 2) |
(+.f64 (/.f64 1 (*.f64 x x)) -2) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 x x) -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x x -2)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 x x) -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x x -2)) |
(pow.f64 x 2) |
(*.f64 x x) |
(-.f64 (pow.f64 x 2) 2) |
(+.f64 (*.f64 x x) -2) |
(fma.f64 x x -2) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 x x) -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x x -2)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 x x) -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x x -2)) |
(pow.f64 x 2) |
(*.f64 x x) |
(-.f64 (pow.f64 x 2) 2) |
(+.f64 (*.f64 x x) -2) |
(fma.f64 x x -2) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 x x) -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x x -2)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 2) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 x x) -2)) |
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x x -2)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(neg.f64 (fma.f64 x 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)) |
(neg.f64 (fma.f64 x x -1)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(neg.f64 (fma.f64 x 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)) |
(neg.f64 (fma.f64 x x -1)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1)) |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1)) |
Compiled 17014 to 9955 computations (41.5% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 526 | 3 | 529 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 529 | 7 | 536 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 1 x)) x) |
| 33.3b | x | |
| 30.5b | -1 | |
| ✓ | 33.8b | (+.f64 (*.f64 x x) x) |
| 29.8b | (/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x))) | |
| ✓ | 0.0b | (/.f64 x (-.f64 1 x)) |
| ✓ | 15.1b | (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
Compiled 62 to 40 computations (35.5% saved)
| Inputs |
|---|
x |
-1 |
x |
-1 |
x |
-1 |
x |
(+.f64 (*.f64 x x) x) |
(*.f64 (+.f64 x 1) x) |
(/.f64 x (-.f64 1 x)) |
(*.f64 (/.f64 1 (-.f64 1 x)) x) |
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))) |
(/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x))) |
(/.f64 (+.f64 (-.f64 (/.f64 1 x) x) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) x)) (*.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 (/.f64 1 x) x))) |
(fma.f64 x x x) |
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x))) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3) |
| Outputs |
|---|
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))) |
3 calls:
| 11.0ms | x |
| 6.0ms | (/.f64 x (-.f64 1 x)) |
| 5.0ms | (/.f64 x (-.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 x (-.f64 1 x)) |
| 0.0b | 1 | (/.f64 x (-.f64 1 x)) |
Compiled 147 to 81 computations (44.9% saved)
| Inputs |
|---|
x |
-1 |
x |
-1 |
x |
-1 |
x |
(+.f64 (*.f64 x x) x) |
(*.f64 (+.f64 x 1) x) |
(/.f64 x (-.f64 1 x)) |
(*.f64 (/.f64 1 (-.f64 1 x)) x) |
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1)) |
| Outputs |
|---|
(/.f64 x (-.f64 1 x)) |
2 calls:
| 9.0ms | x |
| 4.0ms | (/.f64 x (-.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 x (-.f64 1 x)) |
Compiled 49 to 28 computations (42.9% saved)
| Inputs |
|---|
x |
-1 |
x |
-1 |
x |
-1 |
x |
(+.f64 (*.f64 x x) x) |
(*.f64 (+.f64 x 1) x) |
| Outputs |
|---|
-1 |
(+.f64 (*.f64 x x) x) |
-1 |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 3 | x |
Compiled 20 to 10 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.10828565081453671 | 45.303768272135365 |
| 13.0ms | -823.1101857373302 | -8.439775877822185e-5 |
Compiled 10 to 7 computations (30% saved)
Total -59.7b remaining (-2914.9%)
Threshold costs -59.7b (-2914.9%)
| Inputs |
|---|
x |
-1 |
x |
-1 |
x |
-1 |
x |
| Outputs |
|---|
-1 |
x |
-1 |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.0b | 3 | x |
Compiled 10 to 5 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.10828565081453671 | 45.303768272135365 |
| 15.0ms | -823.1101857373302 | -8.439775877822185e-5 |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 66 |
| 1 | 34 | 66 |
| 2 | 42 | 66 |
| 3 | 46 | 66 |
| 4 | 48 | 66 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))) |
(/.f64 x (-.f64 1 x)) |
(if (<=.f64 x -7240153761272461/8796093022208) -1 (if (<=.f64 x 1997517687430836992/18446744073709551616) (+.f64 (*.f64 x x) x) -1)) |
(if (<=.f64 x -7240153761272461/8796093022208) -1 (if (<=.f64 x 1997517687430836992/18446744073709551616) x -1)) |
x |
| Outputs |
|---|
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))) |
(/.f64 x (-.f64 1 x)) |
(if (<=.f64 x -7240153761272461/8796093022208) -1 (if (<=.f64 x 1997517687430836992/18446744073709551616) (+.f64 (*.f64 x x) x) -1)) |
(if (<=.f64 x -7240153761272461/8796093022208) -1 (if (<=.f64 x 7802803466526707/72057594037927936) (+.f64 x (*.f64 x x)) -1)) |
(if (<=.f64 x -7240153761272461/8796093022208) -1 (if (<=.f64 x 1997517687430836992/18446744073709551616) x -1)) |
(if (<=.f64 x -7240153761272461/8796093022208) -1 (if (<=.f64 x 7802803466526707/72057594037927936) x -1)) |
x |
Compiled 52 to 35 computations (32.7% saved)
Compiled 48 to 30 computations (37.5% saved)
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